From 925ac9c3c51676e6eaae5ad1430ca6ea089845a0 Mon Sep 17 00:00:00 2001 From: Thomas Dehaeze Date: Thu, 12 Nov 2020 18:49:34 +0100 Subject: [PATCH] Finished to rework all file --- figs/dynamics_encoder_full_strut.pdf | 2230 + figs/dynamics_encoder_full_strut.png | Bin 0 -> 162821 bytes .../strut_fem_nodes_side.jpg | Bin index.html | 3409 +- index.org | 131 +- mat/APA300ML.mat | Bin 112044 -> 0 bytes mat/APA300ML_simplified_model.mat | Bin 382 -> 0 bytes mat/APA95ML_simplified_model.mat | Bin 382 -> 0 bytes mat/flexor_025.mat | Bin 3583 -> 0 bytes mat/flexor_ID16.mat | Bin 3507 -> 0 bytes mat/piezo_amplified_3d.mat | Bin 3674281 -> 0 bytes mat/strut_encoder.mat | Bin 37785 -> 0 bytes matlab/APA300ML.m | 178 +- matlab/flexor_025.m | 11 +- matlab/flexor_025.slx.r2020a | Bin 37585 -> 0 bytes matlab/flexor_ID16.slx.r2020a | Bin 37585 -> 0 bytes matlab/strut_encoder.m | 103 + matlab/strut_encoder.slx | Bin 0 -> 35261 bytes .../strut_encoder/strut_encoder.step | 0 .../strut_encoder_mat_K.CSV} 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Table of Contents

-
-

1 Amplified Piezoelectric Actuator - 3D elements

+

+In this document, Finite Element Models (FEM) of parts of the Nano-Hexapod are developed and integrated into Simscape for dynamical analysis. +

+ +
    +
  • Section 1: +A super-element of the Amplified Piezoelectric Actuator APA300ML used for the NASS is exported using Ansys and imported in Simscape. +The static and dynamical properties of the APA300ML are then estimated using the Simscape model.
  • +
  • Section 2: +A first geometry of a Flexible joint is modelled and its characteristics are identified from the Stiffness matrix as well as from the Simscape model.
  • +
  • Section 3: +An optimized flexible joint is developed for the Nano-Hexapod and is then imported in a Simscape model.
  • +
  • Section 4: +A super element of a complete strut is exported.
  • +
+ +
+

1 APA300ML

-The idea here is to: + +

+

+In this section, the Amplified Piezoelectric Actuator APA300ML (doc) is modeled using a Finite Element Software. +Then a super element is exported and imported in Simscape where its dynamic is studied.

-
    -
  • export a FEM of an amplified piezoelectric actuator from Ansys to Matlab
  • -
  • import it into a Simscape model
  • -
  • compare the obtained dynamics
  • -
  • add 10kg mass on top of the actuator and identify the dynamics
  • -
  • compare with results from Ansys where 10kg are directly added to the FEM
  • -
-
-
-

1.1 Import Mass Matrix, Stiffness Matrix, and Interface Nodes Coordinates

+

+A 3D view of the Amplified Piezoelectric Actuator (APA300ML) is shown in Figure 1. +The remote point used are also shown in this figure. +

+ + +
+

apa300ml_ansys.jpg +

+

Figure 1: Ansys FEM of the APA300ML

+
+
+
+

1.1 Import Mass Matrix, Stiffness Matrix, and Interface Nodes Coordinates

We first extract the stiffness and mass matrices.

-
K = extractMatrix('piezo_amplified_3d_K.txt');
-M = extractMatrix('piezo_amplified_3d_M.txt');
-
-
- -

-Then, we extract the coordinates of the interface nodes. -

-
-
[int_xyz, int_i, n_xyz, n_i, nodes] = extractNodes('piezo_amplified_3d.txt');
-
-
- -
-
save('./mat/piezo_amplified_3d.mat', 'int_xyz', 'int_i', 'n_xyz', 'n_i', 'nodes', 'M', 'K');
-
-
-
-
- -
-

1.2 Output parameters

-
-
-
load('./mat/piezo_amplified_3d.mat', 'int_xyz', 'int_i', 'n_xyz', 'n_i', 'nodes', 'M', 'K');
+
K = readmatrix('APA300ML_mat_K.CSV');
+M = readmatrix('APA300ML_mat_M.CSV');
 
- - --- -- - - - - - - - - - - - - - - - - - - - - - -
Total number of Nodes168959
Number of interface Nodes13
Number of Modes30
Size of M and K matrices108
- - -
-

amplified_piezo_interface_nodes.png -

-

Figure 1: Interface Nodes for the Amplified Piezo Actuator

-
- - - +@@ -210,1078 +139,320 @@ Then, we extract the coordinates of the interface nodes. ++ ++ ++ ++ ++ - - - - - - - - - - - - - - + + + + + + + + + + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + + + + + + + + + + + + + + + - - - - + + + + - - - - - - - - - - - - - - - - - - - - - - - -
Table 1: Coordinates of the interface nodesTable 1: First 10x10 elements of the Stiffness matrix
Node iNode Numberx [m]y [m]z [m]
1.0168947.00.00.030.0200000000.030000.0-20000.0-70.0300000.040.010000000.010000.0-6000.030.0
2.0168949.00.0-0.030.0
3.0168950.0-0.0350.00.0
4.0168951.0-0.0280.00.0
5.0168952.0-0.0210.00.0
6.0168953.0-0.0140.00.0
7.0168954.0-0.0070.00.0
8.0168955.00.00.00.0
9.0168956.00.0070.00.030000.030000000.02000.0-200000.060.0-10.04000.02000000.0-500.09000.0
-20000.02000.07000000.0-10.0-30.0 10.0168957.00.0140.00.06000.0900.0-500000.03
11.0168958.00.0210.00.0
12.0168959.00.0350.00.0
13.0168960.00.0280.00.0
- - - - --- -- -- -- -- -- -- -- -- -- - - - - - - + + + + + + + + + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + + - - - - - - + + + + + + + + + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Table 2: First 10x10 elements of the Stiffness matrix
300000000.0-30000.08000.0-200.0-70.0-200000.0-10.01000.0-0.10.08-20.0-9000.03 -30.0-60000.020000000.0-4000.0500.08
-30000.0100000000.0400.030.0200.0-14000.0-8000000.0800.07
8000.0400.050000000.0-800000.0-300.0-40.0300.0100.05000000.040000.0
-200.030.0-800000.020000.051-10.0-2-40000.0-300.0
300000.060.0 -30.0200.0-300.0540000.00.3-4-0.1900.00.130000.020.0 -10.00.06
40.00.4
-60000.0-1-40.010.33000.07000.00.8-10.0003
20000000.04000.0300.0 -10.0-47000.0300000000.020000.03000.080.0
-4000.0-8000000.0100.0-2-10.00.820000.0100000000.0-4000.0-100.0
500.0800.05000000.0-40000.040.0-13000.0-4000.050000000.0800000.0
8740000.0-300.00.40.000380.0-100.0800000.020000.0
- - - - - --- -- -- -- -- -- -- -- -- -- - - + + + + + + + - - - - - - - - - - - + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Table 3: First 10x10 elements of the Mass matrix
10.00.080.110000.020.09-5 0.032e-06-2e-071e-082e-080.0002-0.0012e-07-8e-08-9e-10
2e-060.0210000000.04000.06000.0-20.030000.020.0200000000.010000.09000.050.0
10000.02000000.0900.0-9000.020.0910000.030000000.0-500.0200000.0
-6000.0-500.0-500000.03-10.0-59000.0-500.07000000.0-2
30.09000.03-30.00.060.0350.0200000.0-21000.0
+ + + + + +++ ++ ++ ++ ++ ++ ++ ++ ++ ++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + - - - - - + - + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + + - - - - - - - - - - - - - - - - - - - - + + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + + - - - - - - + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Table 2: First 10x10 elements of the Mass matrix
0.01-2e-061e-066e-095e-05-5e-09-0.0005-7e-076e-07-3e-09
-2e-060.018e-07-2e-05-8e-092e-09-9e-07-0.00021e-08-9e-07
1e-068e-070.0095e-101e-09-1e-09 -5e-077e-09 3e-082e-08-3e-070.0003-1e-086e-05 1e-10
-2e-076e-09-2e-055e-103e-072e-11-3e-123e-099e-07-4e-103e-09
5e-05-8e-091e-092e-116e-07-4e-11-1e-06-2e-091e-09-8e-12
-5e-092e-09-1e-09-3e-12-4e-111e-07-2e-09-1e-09-4e-10-5e-12
-0.0005-9e-07 -5e-070.02-9e-054e-09-1e-082e-07-2e-08-0.0006-5e-06
1e-087e-09-9e-051e-066e-114e-10-1e-093e-115e-063e-08
2e-083e-084e-096e-111e-062e-103e-09-1e-06 -2e-092e-10-7e-09-4e-11
0.00022e-08-1e-084e-102e-102e-06-2e-06-1e-09-7e-10-9e-12
-0.0010.011e-07 -3e-072e-07-1e-09-2e-09-2e-060.03-2e-06-1e-07-5e-09
2e-070.0003 -2e-083e-112e-10-1e-09-2e-060.02-8e-07-1e-08
-8e-08-1e-08-0.00065e-06-7e-09-7e-10-1e-07-8e-070.029e-05
-9e-101e-10-5e-06-7e-07-0.0002 3e-08-4e-11-9e-12-5e-09-1e-089e-051e-069e-07-2e-09-1e-091e-070.01-4e-072e-05
6e-071e-086e-05-4e-101e-09-4e-10-3e-07-4e-070.009-2e-10
-3e-09-9e-071e-103e-09-8e-12-5e-12-2e-082e-05-2e-103e-07
-

-Using K, M and int_xyz, we can use the Reduced Order Flexible Solid simscape block. -

-
-
- - -
-

1.3 Piezoelectric parameters

-
-

-Parameters for the APA95ML: -

- -
-
d33 = 3e-10; % Strain constant [m/V]
-n = 80; % Number of layers per stack
-eT = 1.6e-7; % Permittivity under constant stress [F/m]
-sD = 2e-11; % Elastic compliance under constant electric displacement [m2/N]
-ka = 235e6; % Stack stiffness [N/m]
-C = 5e-6; % Stack capactiance [F]
-
-
- -
-
na = 2; % Number of stacks used as actuator
-ns = 1; % Number of stacks used as force sensor
-
-
- -

-The ratio of the developed force to applied voltage is \(d_{33} n k_a\) in [N/V]. -We denote this constant by \(g_a\) and: -\[ F_a = g_a V_a, \quad g_a = d_{33} n k_a \] -

-
-
d33*(na*n)*(ka/(na + ns)) % [N/V]
-
-
- -
-3.76
-
- - -

-From (Fleming and Leang 2014) (page 123), the relation between relative displacement and generated voltage is: -\[ V_s = \frac{d_{33}}{\epsilon^T s^D n} \Delta h \] -where: -

-
    -
  • \(V_s\): measured voltage [V]
  • -
  • \(d_{33}\): strain constant [m/V]
  • -
  • \(\epsilon^T\): permittivity under constant stress [F/m]
  • -
  • \(s^D\): elastic compliance under constant electric displacement [m^2/N]
  • -
  • \(n\): number of layers
  • -
  • \(\Delta h\): relative displacement [m]
  • -
-
-
1e-6*d33/(eT*sD*ns*n) % [V/um]
-
-
- -
-1.1719
-
-
-
- -
-

1.4 Identification of the Dynamics

-
-

-The flexible element is imported using the Reduced Order Flexible Solid simscape block. -

- -

-To model the actuator, an Internal Force block is added between the nodes 3 and 12. -A Relative Motion Sensor block is added between the nodes 1 and 2 to measure the displacement and the amplified piezo. -

- -

-One mass is fixed at one end of the piezo-electric stack actuator, the other end is fixed to the world frame. -

- -

-We first set the mass to be zero. -

-
-
m = 0.01;
-
-
- -

-The dynamics is identified from the applied force to the measured relative displacement. -

-
-
%% Name of the Simulink File
-mdl = 'piezo_amplified_3d';
-
-%% Input/Output definition
-clear io; io_i = 1;
-io(io_i) = linio([mdl, '/F'], 1, 'openinput');  io_i = io_i + 1;
-io(io_i) = linio([mdl, '/y'], 1, 'openoutput'); io_i = io_i + 1;
-
-Gh = -linearize(mdl, io);
-
-
- -

-Then, we add 10Kg of mass: -

-
-
m = 5;
-
-
- -

-And the dynamics is identified. -

- -

-The two identified dynamics are compared in Figure 2. -

-
-
%% Name of the Simulink File
-mdl = 'piezo_amplified_3d';
-
-%% Input/Output definition
-clear io; io_i = 1;
-io(io_i) = linio([mdl, '/F'], 1, 'openinput');  io_i = io_i + 1;
-io(io_i) = linio([mdl, '/y'], 1, 'openoutput'); io_i = io_i + 1;
-
-Ghm = -linearize(mdl, io);
-
-
- - -
-

dynamics_act_disp_comp_mass.png -

-

Figure 2: Dynamics from \(F\) to \(d\) without a payload and with a 10kg payload

-
-
-
- -
-

1.5 Comparison with Ansys

-
-

-Let’s import the results from an Harmonic response analysis in Ansys. -

-
-
Gresp0 = readtable('FEA_HarmResponse_00kg.txt');
-Gresp10 = readtable('FEA_HarmResponse_10kg.txt');
-
-
- -

-The obtained dynamics from the Simscape model and from the Ansys analysis are compare in Figure 3. -

- - -
-

dynamics_force_disp_comp_anasys.png -

-

Figure 3: Comparison of the obtained dynamics using Simscape with the harmonic response analysis using Ansys

-
-
-
- -
-

1.6 Force Sensor

-
-

-The dynamics is identified from internal forces applied between nodes 3 and 11 to the relative displacement of nodes 11 and 13. -

- -

-The obtained dynamics is shown in Figure 4. -

- -
-
m = 0;
-
-
- -
-
%% Name of the Simulink File
-mdl = 'piezo_amplified_3d';
-
-%% Input/Output definition
-clear io; io_i = 1;
-io(io_i) = linio([mdl, '/Fa'], 1, 'openinput');  io_i = io_i + 1;
-io(io_i) = linio([mdl, '/Fs'], 1, 'openoutput'); io_i = io_i + 1;
-
-Gf = linearize(mdl, io);
-
-
- -
-
m = 10;
-
-
- -
-
%% Name of the Simulink File
-mdl = 'piezo_amplified_3d';
-
-%% Input/Output definition
-clear io; io_i = 1;
-io(io_i) = linio([mdl, '/Fa'], 1, 'openinput');  io_i = io_i + 1;
-io(io_i) = linio([mdl, '/Fs'], 1, 'openoutput'); io_i = io_i + 1;
-
-Gfm = linearize(mdl, io);
-
-
- - -
-

dynamics_force_force_sensor_comp_mass.png -

-

Figure 4: Dynamics from \(F\) to \(F_m\) for \(m=0\) and \(m = 10kg\)

-
-
-
- -
-

1.7 Distributed Actuator

-
-
-
m = 0;
-
-
- -

-The dynamics is identified from the applied force to the measured relative displacement. -

-
-
%% Name of the Simulink File
-mdl = 'piezo_amplified_3d_distri';
-
-%% Input/Output definition
-clear io; io_i = 1;
-io(io_i) = linio([mdl, '/F'], 1, 'openinput');  io_i = io_i + 1;
-io(io_i) = linio([mdl, '/y'], 1, 'openoutput'); io_i = io_i + 1;
-
-Gd = linearize(mdl, io);
-
-
- -

-Then, we add 10Kg of mass: -

-
-
m = 10;
-
-
- -

-And the dynamics is identified. -

-
-
%% Name of the Simulink File
-mdl = 'piezo_amplified_3d_distri';
-
-%% Input/Output definition
-clear io; io_i = 1;
-io(io_i) = linio([mdl, '/F'], 1, 'openinput');  io_i = io_i + 1;
-io(io_i) = linio([mdl, '/y'], 1, 'openoutput'); io_i = io_i + 1;
-
-Gdm = linearize(mdl, io);
-
-
-
-
- -
-

1.8 Distributed Actuator and Force Sensor

-
-
-
m = 0;
-
-
- -
-
%% Name of the Simulink File
-mdl = 'piezo_amplified_3d_distri_act_sens';
-
-%% Input/Output definition
-clear io; io_i = 1;
-io(io_i) = linio([mdl, '/F'], 1, 'openinput');  io_i = io_i + 1;
-io(io_i) = linio([mdl, '/Fm'], 1, 'openoutput'); io_i = io_i + 1;
-
-Gfd = linearize(mdl, io);
-
-
- -
-
m = 10;
-
-
- -
-
%% Name of the Simulink File
-mdl = 'piezo_amplified_3d_distri_act_sens';
-
-%% Input/Output definition
-clear io; io_i = 1;
-io(io_i) = linio([mdl, '/F'], 1, 'openinput');  io_i = io_i + 1;
-io(io_i) = linio([mdl, '/Fm'], 1, 'openoutput'); io_i = io_i + 1;
-
-Gfdm = linearize(mdl, io);
-
-
-
-
- -
-

1.9 Dynamics from input voltage to displacement

-
-
-
m = 5;
-
-
- -

-And the dynamics is identified. -

- -

-The two identified dynamics are compared in Figure 2. -

-
-
%% Name of the Simulink File
-mdl = 'piezo_amplified_3d';
-
-%% Input/Output definition
-clear io; io_i = 1;
-io(io_i) = linio([mdl, '/V'], 1, 'openinput');  io_i = io_i + 1;
-io(io_i) = linio([mdl, '/y'], 1, 'openoutput'); io_i = io_i + 1;
-
-G = -linearize(mdl, io);
-
-
- -
-
save('../test-bench-apa/mat/fem_model_5kg.mat', 'G')
-
-
-
-
- -
-

1.10 Dynamics from input voltage to output voltage

-
-
-
m = 5;
-
-
- -
-
%% Name of the Simulink File
-mdl = 'piezo_amplified_3d';
-
-%% Input/Output definition
-clear io; io_i = 1;
-io(io_i) = linio([mdl, '/Fa'], 1, 'openinput');  io_i = io_i + 1;
-io(io_i) = linio([mdl, '/dL'], 1, 'openoutput'); io_i = io_i + 1;
-
-G = -linearize(mdl, io);
-
-
-
-
- -
-

1.11 Identification for a simpler model

-
-

-The goal in this section is to identify the parameters of a simple APA model from the FEM. -This can be useful is a lower order model is to be used for simulations. -

- -

-The presented model is based on (Souleille et al. 2018). -

- -

-The model represents the Amplified Piezo Actuator (APA) from Cedrat-Technologies (Figure 5). -The parameters are shown in the table below. -

- - -
-

souleille18_model_piezo.png -

-

Figure 5: Picture of an APA100M from Cedrat Technologies. Simplified model of a one DoF payload mounted on such isolator

-
- - - - --- -- - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Table 4: Parameters used for the model of the APA 100M
 Meaning
\(k_e\)Stiffness used to adjust the pole of the isolator
\(k_1\)Stiffness of the metallic suspension when the stack is removed
\(k_a\)Stiffness of the actuator
\(c_1\)Added viscous damping
- -

-The goal is to determine \(k_e\), \(k_a\) and \(k_1\) so that the simplified model fits the FEM model. -

- -

-\[ \alpha = \frac{x_1}{f}(\omega=0) = \frac{\frac{k_e}{k_e + k_a}}{k_1 + \frac{k_e k_a}{k_e + k_a}} \] -\[ \beta = \frac{x_1}{F}(\omega=0) = \frac{1}{k_1 + \frac{k_e k_a}{k_e + k_a}} \] -

- -

-If we can fix \(k_a\), we can determine \(k_e\) and \(k_1\) with: -\[ k_e = \frac{k_a}{\frac{\beta}{\alpha} - 1} \] -\[ k_1 = \frac{1}{\beta} - \frac{k_e k_a}{k_e + k_a} \] -

- -

-From the identified dynamics, compute \(\alpha\) and \(\beta\) -

-
-
alpha = abs(dcgain(G('y', 'Fa')));
-beta  = abs(dcgain(G('y', 'Fd')));
-
-
- -

-\(k_a\) is estimated using the following formula: -

-
-
ka = 0.9/abs(dcgain(G('y', 'Fa')));
-
-
-

-The factor can be adjusted to better match the curves. -

- -

-Then \(k_e\) and \(k_1\) are computed. -

-
-
ke = ka/(beta/alpha - 1);
-k1 = 1/beta - ke*ka/(ke + ka);
-
-
- - - - --- -- - - - - - - - - - - - - - - - - - - - - - - -
 Value [N/um]
ka54.9
ke25.1
k14.3
- -

-The damping in the system is adjusted to match the FEM model if necessary. -

-
-
c1 = 1e2;
-
-
- -

-Analytical model of the simpler system: -

-
-
Ga = 1/(m*s^2 + k1 + c1*s + ke*ka/(ke + ka)) * ...
-     [ 1 ,              k1 + c1*s + ke*ka/(ke + ka)  , ke/(ke + ka) ;
-      -ke*ka/(ke + ka), ke*ka/(ke + ka)*m*s^2 ,       -ke/(ke + ka)*(m*s^2 + c1*s + k1)];
-
-Ga.InputName = {'Fd', 'w', 'Fa'};
-Ga.OutputName = {'y', 'Fs'};
-
-
- -

-Adjust the DC gain for the force sensor: -

-
-
F_gain = dcgain(G('Fs', 'Fd'))/dcgain(Ga('Fs', 'Fd'));
-
-
- - -
-

apa95ml_comp_simpler_model.png -

-

Figure 6: Comparison of the Dynamics between the FEM model and the simplified one

-
- -

-We save the parameters of the simplified model for the APA95ML: -

-
-
save('./mat/APA95ML_simplified_model.mat', 'ka', 'ke', 'k1', 'c1', 'F_gain');
-
-
-
-
-
- -
-

2 APA300ML

-
- -
-

apa300ml_ansys.jpg -

-

Figure 7: Ansys FEM of the APA300ML

-
-
- -
-

2.1 Import Mass Matrix, Stiffness Matrix, and Interface Nodes Coordinates

-
-

-We first extract the stiffness and mass matrices. -

-
-
K = readmatrix('mat_K.CSV');
-M = readmatrix('mat_M.CSV');
-
-

Then, we extract the coordinates of the interface nodes.

-
[int_xyz, int_i, n_xyz, n_i, nodes] = extractNodes('out_nodes_3D.txt');
-
-
- -
-
save('./mat/APA300ML.mat', 'int_xyz', 'int_i', 'n_xyz', 'n_i', 'nodes', 'M', 'K');
-
-
-
-
- -
-

2.2 Output parameters

-
-
-
load('./mat/APA300ML.mat', 'int_xyz', 'int_i', 'n_xyz', 'n_i', 'nodes', 'M', 'K');
+
[int_xyz, int_i, n_xyz, n_i, nodes] = extractNodes('APA300ML_out_nodes_3D.txt');
 
- - --- -- - - - - - - - - - - - - - - - - - - - - - -
Total number of Nodes7
Number of interface Nodes7
Number of Modes120
Size of M and K matrices162
- - - +@@ -1363,395 +534,154 @@ Then, we extract the coordinates of the interface nodes.
Table 5: Coordinates of the interface nodesTable 3: Coordinates of the interface nodes
- +-- -- -- -- -- -- -- -- -+ - - - - - - - - - - + + - - - - - - - - - - + + - - - - - - - - - - + + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Table 6: First 10x10 elements of the Stiffness matrixTable 4: Some extracted parameters of the FEM
200000000.030000.0-20000.0-70.0300000.040.010000000.010000.0-6000.030.0Total number of Nodes7
30000.030000000.02000.0-200000.060.0-10.04000.02000000.0-500.09000.0Number of interface Nodes7
-20000.02000.07000000.0-10.0-30.010.06000.0900.0-500000.03Number of Modes120
-70.0-200000.0-10.01000.0-0.10.08-20.0-9000.03-30.0
300000.060.0-30.0-0.1900.00.130000.020.0-10.00.06
40.0-10.010.00.080.110000.020.09-50.03
10000000.04000.06000.0-20.030000.020.0200000000.010000.09000.050.0
10000.02000000.0900.0-9000.020.0910000.030000000.0-500.0200000.0
-6000.0-500.0-500000.03-10.0-59000.0-500.07000000.0-2
30.09000.03-30.00.060.0350.0200000.0-21000.0
- - - - - --- -- -- -- -- -- -- -- -- -- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + +
Table 7: First 10x10 elements of the Mass matrix
0.01-2e-061e-066e-095e-05-5e-09-0.0005-7e-076e-07-3e-09
-2e-060.018e-07-2e-05-8e-092e-09-9e-07-0.00021e-08-9e-07
1e-068e-070.0095e-101e-09-1e-09-5e-073e-086e-051e-10
6e-09-2e-055e-103e-072e-11-3e-123e-099e-07-4e-103e-09
5e-05-8e-091e-092e-116e-07-4e-11-1e-06-2e-091e-09-8e-12
-5e-092e-09-1e-09-3e-12-4e-111e-07-2e-09-1e-09-4e-10-5e-12
-0.0005-9e-07-5e-073e-09-1e-06-2e-090.011e-07-3e-07-2e-08
-7e-07-0.00023e-089e-07-2e-09-1e-091e-070.01-4e-072e-05
6e-071e-086e-05-4e-101e-09-4e-10-3e-07-4e-070.009-2e-10
-3e-09-9e-071e-103e-09-8e-12-5e-12-2e-082e-05-2e-103e-07Size of M and K matrices162

-Using K, M and int_xyz, we can use the Reduced Order Flexible Solid simscape block. +Using K, M and int_xyz, we can now use the Reduced Order Flexible Solid simscape block.

-
-

2.3 Piezoelectric parameters

-
+
+

1.2 Piezoelectric parameters

+

-Parameters for the APA300ML: -

- -
-
d33 = 3e-10; % Strain constant [m/V]
-n = 80; % Number of layers per stack
-eT = 1.6e-8; % Permittivity under constant stress [F/m]
-sD = 2e-11; % Elastic compliance under constant electric displacement [m2/N]
-ka = 235e6; % Stack stiffness [N/m]
-C = 5e-6; % Stack capactiance [F]
-
-
- -
-
na = 2; % Number of stacks used as actuator
-ns = 1; % Number of stacks used as force sensor
-
-
- -

-The ratio of the developed force to applied voltage is \(d_{33} n k_a\) in [N/V]. -We denote this constant by \(g_a\) and: -\[ F_a = g_a V_a, \quad g_a = d_{33} n k_a \] +In order to make the conversion from applied voltage to generated force or from the strain to the generated voltage, we need to defined some parameters corresponding to the piezoelectric material:

-
d33*(na*n)*(ka/(na + ns)) % [N/V]
+
d33 = 300e-12; % Strain constant [m/V]
+n   = 80;      % Number of layers per stack
+eT  = 1.6e-8;  % Permittivity under constant stress [F/m]
+sD  = 1e-11;   % Compliance under constant electric displacement [m2/N]
+ka  = 235e6;   % Stack stiffness [N/m]
+C   = 5e-6;    % Stack capactiance [F]
 
-
-3.76
-
- -

-From (Fleming and Leang 2014) (page 123), the relation between relative displacement and generated voltage is: -\[ V_s = \frac{d_{33}}{\epsilon^T s^D n} \Delta h \] +The ratio of the developed force to applied voltage is: +

+\begin{equation} +\label{org0bf4f86} + F_a = g_a V_a, \quad g_a = d_{33} n k_a +\end{equation} +

where:

    -
  • \(V_s\): measured voltage [V]
  • -
  • \(d_{33}\): strain constant [m/V]
  • -
  • \(\epsilon^T\): permittivity under constant stress [F/m]
  • -
  • \(s^D\): elastic compliance under constant electric displacement [m^2/N]
  • -
  • \(n\): number of layers
  • -
  • \(\Delta h\): relative displacement [m]
  • +
  • \(F_a\): developed force in [N]
  • +
  • \(n\): number of layers of the actuator stack
  • +
  • \(d_{33}\): strain constant in [m/V]
  • +
  • \(k_a\): actuator stack stiffness in [N/m]
  • +
  • \(V_a\): applied voltage in [V]
+ +

+If we take the numerical values, we obtain: +

-
1e-6*d33/(eT*sD*ns*n) % [V/um]
+
d33*n*ka % [N/V]
 
-11.719
+5.64
+
+ + +

+From (Fleming and Leang 2014) (page 123), the relation between relative displacement of the sensor stack and generated voltage is: +

+\begin{equation} +\label{org0478126} + V_s = \frac{d_{33}}{\epsilon^T s^D n} \Delta h +\end{equation} +

+where: +

+
    +
  • \(V_s\): measured voltage in [V]
  • +
  • \(d_{33}\): strain constant in [m/V]
  • +
  • \(\epsilon^T\): permittivity under constant stress in [F/m]
  • +
  • \(s^D\): elastic compliance under constant electric displacement in [m^2/N]
  • +
  • \(n\): number of layers of the sensor stack
  • +
  • \(\Delta h\): relative displacement in [m]
  • +
+ +

+If we take the numerical values, we obtain: +

+
+
1e-6*d33/(eT*sD*n) % [V/um]
+
+
+ +
+23.438
 
-
-

2.4 Identification of the APA Characteristics

-
+
+

1.3 Simscape Model

+
+

+The flexible element is imported using the Reduced Order Flexible Solid simscape block. +

+ +

+Let’s say we use two stacks as a force sensor and one stack as an actuator: +

+
    +
  • A Relative Motion Sensor block is added between the nodes A and C
  • +
  • An Internal Force block is added between the remote points E and B
  • +
+ +

+The interface nodes are shown in Figure 1. +

+ +

+One mass is fixed at one end of the piezo-electric stack actuator (remove point F), the other end is fixed to the world frame (remote point G). +

-
-

2.4.1 Stiffness

-
+
+ +
+

1.4 Identification of the APA Characteristics

+
+
+
+

1.4.1 Stiffness

+

The transfer function from vertical external force to the relative vertical displacement is identified.

@@ -1775,28 +705,28 @@ The specified stiffness in the datasheet is \(k = 1.8\, [N/\mu m]\).
-
-

2.4.2 Resonance Frequency

-
+
+

1.4.2 Resonance Frequency

+

The resonance frequency is specified to be between 650Hz and 840Hz. -This is also the case for the FEM model (Figure 8). +This is also the case for the FEM model (Figure 2).

-
+

apa300ml_resonance.png

-

Figure 8: First resonance is around 800Hz

+

Figure 2: First resonance is around 800Hz

-
-

2.4.3 Amplification factor

-
+
+

1.4.3 Amplification factor

+

-The amplification factor is the ratio of the axial displacement to the stack displacement. +The amplification factor is the ratio of the vertical displacement to the stack displacement.

@@ -1813,7 +743,7 @@ The ratio of the two displacement is computed from the FEM model.

-If we take the ratio of the piezo height and length (approximation of the amplification factor): +This is actually correct and approximately corresponds to the ratio of the piezo height and length:

75/15
@@ -1826,9 +756,9 @@ If we take the ratio of the piezo height and length (approximation of the amplif
 
-
-

2.4.4 Stroke

-
+
+

1.4.4 Stroke

+

Estimation of the actuator stroke: \[ \Delta H = A n \Delta L \] @@ -1858,24 +788,11 @@ This is exactly the specified stroke in the data-sheet.

-
-

2.5 Identification of the Dynamics

-
+
+

1.5 Identification of the Dynamics from actuator to replace displacement

+

-The flexible element is imported using the Reduced Order Flexible Solid simscape block. -

- -

-To model the actuator, an Internal Force block is added between the nodes 3 and 12. -A Relative Motion Sensor block is added between the nodes 1 and 2 to measure the displacement and the amplified piezo. -

- -

-One mass is fixed at one end of the piezo-electric stack actuator, the other end is fixed to the world frame. -

- -

-We first set the mass to be zero. +We first set the mass to be approximately zero. The dynamics is identified from the applied force to the measured relative displacement. The same dynamics is identified for a payload mass of 10Kg.

@@ -1885,72 +802,56 @@ The same dynamics is identified for a payload mass of 10Kg.
-
+

apa300ml_plant_dynamics.png

-

Figure 9: Transfer function from forces applied by the stack to the axial displacement of the APA

-
-
-
- -
-

2.6 IFF

-
-

-Let’s use 2 stacks as actuators and 1 stack as force sensor. -

- -

-The transfer function from actuator to sensors is identified and shown in Figure 10. -

- -
-

apa300ml_iff_plant.png -

-

Figure 10: Transfer function from actuator to force sensor

+

Figure 3: Transfer function from forces applied by the stack to the axial displacement of the APA

-For root locus corresponding to IFF is shown in Figure 11. +The root locus corresponding to Direct Velocity Feedback with a mass of 10kg is shown in Figure 4.

-
-

apa300ml_iff_root_locus.png -

-

Figure 11: Root Locus for IFF

-
-
-
- -
-

2.7 DVF

-
-

-Now the dynamics from the stack actuator to the relative motion sensor is identified and shown in Figure 12. -

- -
-

apa300ml_dvf_plant.png -

-

Figure 12: Transfer function from stack actuator to relative motion sensor

-
- -

-The root locus for DVF is shown in Figure 13. -

- - -
+

apa300ml_dvf_root_locus.png

-

Figure 13: Root Locus for Direct Velocity Feedback

+

Figure 4: Root Locus for Direct Velocity Feedback

-
-

2.8 Identification for a simpler model

-
+
+

1.6 Identification of the Dynamics from actuator to force sensor

+
+

+Let’s use 2 stacks as a force sensor and 1 stack as force actuator. +

+ +

+The transfer function from actuator voltage to sensor voltage is identified and shown in Figure 5. +

+ +
+

apa300ml_iff_plant.png +

+

Figure 5: Transfer function from actuator to force sensor

+
+ +

+For root locus corresponding to IFF is shown in Figure 6. +

+ +
+

apa300ml_iff_root_locus.png +

+

Figure 6: Root Locus for IFF

+
+
+
+ +
+

1.7 Identification for a simpler model

+

The goal in this section is to identify the parameters of a simple APA model from the FEM. This can be useful is a lower order model is to be used for simulations. @@ -1961,19 +862,19 @@ The presented model is based on (Souleille et al.

-The model represents the Amplified Piezo Actuator (APA) from Cedrat-Technologies (Figure 5). +The model represents the Amplified Piezo Actuator (APA) from Cedrat-Technologies (Figure 7). The parameters are shown in the table below.

-
+

souleille18_model_piezo.png

-

Figure 14: Picture of an APA100M from Cedrat Technologies. Simplified model of a one DoF payload mounted on such isolator

+

Figure 7: Picture of an APA100M from Cedrat Technologies. Simplified model of a one DoF payload mounted on such isolator

- +@@ -2094,7 +995,7 @@ The damping in the system is adjusted to match the FEM model if necessary.

-Analytical model of the simpler system: +The analytical model of the simpler system is defined below:

Ga = 1/(m*s^2 + k1 + c1*s + ke*ka/(ke + ka)) * ...
@@ -2107,252 +1008,116 @@ Ga.OutputName = {'y', '
 

-Adjust the DC gain for the force sensor: +And the DC gain is adjusted for the force sensor:

F_gain = dcgain(G('Fs', 'Fd'))/dcgain(Ga('Fs', 'Fd'));
 
+

+The dynamics of the FEM model and the simpler model are compared in Figure 8. +

-
+ +

apa300ml_comp_simpler_model.png

-

Figure 15: Comparison of the Dynamics between the FEM model and the simplified one

+

Figure 8: Comparison of the Dynamics between the FEM model and the simplified one

-We now compare the FEM model with the simplified simscape model. +The simplified model has also been implemented in Simscape.

-
+

+The dynamics of the Simscape simplified model is identified and compared with the FEM one in Figure 9. +

+ +

apa300ml_comp_simpler_simscape.png

-

Figure 16: Comparison of the Dynamics between the FEM model and the simplified simscape model

+

Figure 9: Comparison of the Dynamics between the FEM model and the simplified simscape model

+
+
+
+

1.8 Integral Force Feedback

+

-We save the parameters of the simplified model for the APA300ML: +In this section, Integral Force Feedback control architecture is applied on the APA300ML. +

+ +

+First, the plant (dynamics from voltage actuator to voltage sensor is identified). +The payload mass is set to 10kg.

-
save('./mat/APA300ML_simplified_model.mat', 'ka', 'ke', 'k1', 'c1', 'F_gain');
-
-
-
-
- -
-

2.9 Identification of the stiffness properties

-
-
-
-

2.9.1 APA Alone

-
-
Table 8: Parameters used for the model of the APA 100MTable 5: Parameters used for the model of the APA 100M
- - --- -- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
CaracteristicsValue
Kx [N/um]0.8
Ky [N/um]1.6
Kz [N/um]1.8
Rx [Nm/rad]71.4
Ry [Nm/rad]148.2
Rz [Nm/rad]4241.8
-
-
- -
-

2.9.2 See how the global stiffness is changing with the flexible joints

-
-
-
flex = load('./mat/flexor_ID16.mat', 'int_xyz', 'int_i', 'n_xyz', 'n_i', 'nodes', 'M', 'K');
+
m = 10;
 
- - - --- -- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
CaracteristicValue
Kx [N/um]0.0
Ky [N/um]0.0
Kz [N/um]1.8
Rx [Nm/rad]722.9
Ry [Nm/rad]129.6
Rz [Nm/rad]115.3
- - -
-
freqs = logspace(-2, 5, 1000);
-
-figure;
-hold on;
-plot(freqs, abs(squeeze(freqresp(G(2,2), freqs, 'Hz'))), '-', 'DisplayName', 'APA');
-plot(freqs, abs(squeeze(freqresp(Gf(2,2), freqs, 'Hz'))), '-', 'DisplayName', 'Flex');
-hold off;
-set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log');
-xlabel('Frequency [Hz]'); ylabel('Amplitude [m/N]');
-hold off;
-legend('location', 'northeast');
-
-
- -
-
freqs = logspace(-2, 5, 1000);
-
-figure;
-hold on;
-plot(freqs, abs(squeeze(freqresp(G(3,3), freqs, 'Hz'))), '-', 'DisplayName', 'APA');
-plot(freqs, abs(squeeze(freqresp(Gf(3,3), freqs, 'Hz'))), '-', 'DisplayName', 'Flex');
-hold off;
-set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log');
-xlabel('Frequency [Hz]'); ylabel('Amplitude [m/N]');
-hold off;
-legend('location', 'northeast');
-
-
-
-
-
- -
-

2.10 Effect of APA300ML in the flexibility of the leg

-
- - - --- -- -- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
CaracteristicRigid APAFlexible APA
Kx [N/um]0.0180.019
Ky [N/um]0.0180.018
Kz [N/um]60.02.647
Rx [Nm/rad]16.705557.682
Ry [Nm/rad]16.535185.939
Rz [Nm/rad]118.0114.803
-
-
-
- -
-

3 Flexible Joint

-

-The studied flexor is shown in Figure 17. +The obtained dynamics is shown in Figure 10. +

+ + +
+

piezo_amplified_iff_plant.png +

+

Figure 10: IFF Plant

+
+ +

+The controller is defined below and the loop gain is shown in Figure 11. +

+
+
Kiff = -1e3/s;
+
+
+ + +
+

piezo_amplified_iff_loop_gain.png +

+

Figure 11: IFF Loop Gain

+
+ +

+Now the closed-loop system is identified again and compare with the open loop system in Figure 12. +

+ +

+It is the expected behavior as shown in the Figure 13 (from (Souleille et al. 2018)). +

+ + +
+

piezo_amplified_iff_comp.png +

+

Figure 12: OL and CL transfer functions

+
+ + +
+

souleille18_results.png +

+

Figure 13: Results obtained in souleille18_concep_activ_mount_space_applic

+
+
+
+
+ + +
+

2 First Flexible Joint Geometry

+
+

+ +

+

+The studied flexor is shown in Figure 14.

@@ -2365,16 +1130,15 @@ A simplified model of the flexor is then developped.

-
+

flexor_id16_screenshot.png

-

Figure 17: Flexor studied

+

Figure 14: Flexor studied

- -
-

3.1 Import Mass Matrix, Stiffness Matrix, and Interface Nodes Coordinates

-
+
+

2.1 Import Mass Matrix, Stiffness Matrix, and Interface Nodes Coordinates

+

We first extract the stiffness and mass matrices.

@@ -2384,104 +1148,8 @@ M = extractMatrix('mat_M_6modes_2MDoF.matrix');
-

-Then, we extract the coordinates of the interface nodes. -

-
-
[int_xyz, int_i, n_xyz, n_i, nodes] = extractNodes('out_nodes_3D.txt');
-
-
- -
-
save('./mat/flexor_ID16.mat', 'int_xyz', 'int_i', 'n_xyz', 'n_i', 'nodes', 'M', 'K');
-
-
-
-
- -
-

3.2 Output parameters

-
-
-
load('./mat/flexor_ID16.mat', 'int_xyz', 'int_i', 'n_xyz', 'n_i', 'nodes', 'M', 'K');
-
-
- - - --- -- - - - - - - - - - - - - - - - - - - - - - -
Total number of Nodes2
Number of interface Nodes2
Number of Modes6
Size of M and K matrices18
- - - - --- -- -- -- -- - - - - - - - - - - - - - - - - - - - - - - - - - - -
Table 9: Coordinates of the interface nodes
Node iNode Numberx [m]y [m]z [m]
1.0181278.00.00.00.0
2.0181279.00.00.0-0.0
- - - +@@ -2637,9 +1305,8 @@ Then, we extract the coordinates of the interface nodes.
Table 10: First 10x10 elements of the Stiffness matrixTable 6: First 10x10 elements of the Stiffness matrix
- - +@@ -2796,17 +1463,54 @@ Then, we extract the coordinates of the interface nodes.
Table 11: First 10x10 elements of the Mass matrixTable 7: First 10x10 elements of the Mass matrix

-Using K, M and int_xyz, we can use the Reduced Order Flexible Solid simscape block. +Then, we extract the coordinates of the interface nodes.

-
+
+
[int_xyz, int_i, n_xyz, n_i, nodes] = extractNodes('out_nodes_3D.txt');
+
-
-

3.3 Flexible Joint Characteristics

-
-

-The most important parameters of the flexible joint can be directly estimated from the stiffness matrix. -

+ + + +++ ++ ++ ++ ++ + + + + + + + + + + + + + + + + + + + + + + + + + + +
Table 8: Coordinates of the interface nodes
Node iNode Numberx [m]y [m]z [m]
1.0181278.00.00.00.0
2.0181279.00.00.0-0.0
@@ -2814,55 +1518,40 @@ The most important parameters of the flexible joint can be directly estimated fr -- - - - - - - - - - - + + - - - + + - - - + + - - - - - - - - - + +
CaracteristicValueEstimation by Francois
Axial Stiffness [N/um]11960Total number of Nodes2
Shear Stiffness [N/um]110Number of interface Nodes2
Bending Stiffness [Nm/rad]3315Number of Modes6
Bending Stiffness [Nm/rad]3315
Torsion Stiffness [Nm/rad]23620Size of M and K matrices18
+ +

+Using K, M and int_xyz, we can use the Reduced Order Flexible Solid simscape block. +

-
-

3.4 Identification of the parameters using Simscape

-
+
+

2.2 Identification of the parameters using Simscape and looking at the Stiffness Matrix

+

The flexor is now imported into Simscape and its parameters are estimated using an identification.

@@ -2899,37 +1588,37 @@ And we find the same parameters as the one estimated from the Stiffness matrix. Bending Stiffness Rx [Nm/rad] 33 -34 +33 Bending Stiffness Ry [Nm/rad] 33 -126 +33 Torsion Stiffness Rz [Nm/rad] 236 -238 +236
-
-

3.5 Simpler Model

-
+
+

2.3 Simpler Model

+

-Let’s now model the flexible joint with a “perfect” Bushing joint as shown in Figure 18. +Let’s now model the flexible joint with a “perfect” Bushing joint as shown in Figure 15.

-
+

flexible_joint_simscape.png

-

Figure 18: Bushing Joint used to model the flexible joint

+

Figure 15: Bushing Joint used to model the flexible joint

@@ -2951,136 +1640,50 @@ The two obtained dynamics are compared in Figure

-
+

flexor_ID16_compare_bushing_joint.png

-

Figure 19: Comparison of the Joint compliance between the FEM model and the simpler model

+

Figure 16: Comparison of the Joint compliance between the FEM model and the simpler model

-
-

4 Optimal Flexible Joint

-
- -
-

CS.jpg +

+

3 Optimized Flexible Joint

+
+

+ +

+

+The joint geometry has been optimized using Ansys to have lower bending stiffness while keeping a large axial stiffness.

-

Figure 20: Flexor studied

-
-
-
-

4.1 Import Mass Matrix, Stiffness Matrix, and Interface Nodes Coordinates

-
+

+The obtained geometry is shown in Figure 17. +

+ + +
+

flexor_025_MDoF.jpg +

+

Figure 17: Flexor studied

+
+
+
+

3.1 Import Mass Matrix, Stiffness Matrix, and Interface Nodes Coordinates

+

We first extract the stiffness and mass matrices.

-
K = readmatrix('mat_K.CSV');
-M = readmatrix('mat_M.CSV');
-
-
- -

-Then, we extract the coordinates of the interface nodes. -

-
-
[int_xyz, int_i, n_xyz, n_i, nodes] = extractNodes('out_nodes_3D.txt');
-
-
- -
-
save('./mat/flexor_025.mat', 'int_xyz', 'int_i', 'n_xyz', 'n_i', 'nodes', 'M', 'K');
-
-
-
-
- -
-

4.2 Output parameters

-
-
-
load('./mat/flexor_025.mat', 'int_xyz', 'int_i', 'n_xyz', 'n_i', 'nodes', 'M', 'K');
+
K = readmatrix('flex025_mat_K.CSV');
+M = readmatrix('flex025_mat_M.CSV');
 
- - --- -- - - - - - - - - - - - - - - - - - - - - - -
Total number of Nodes2
Number of interface Nodes2
Number of Modes6
Size of M and K matrices18
- - - - --- -- -- -- -- - - - - - - - - - - - - - - - - - - - - - - - - - - -
Table 12: Coordinates of the interface nodes
Node iNode Numberx [m]y [m]z [m]
1.0528875.00.00.00.0
2.0528876.00.00.0-0.0
- - - +@@ -3238,7 +1841,7 @@ Then, we extract the coordinates of the interface nodes.
Table 13: First 10x10 elements of the Stiffness matrixTable 9: First 10x10 elements of the Stiffness matrix
- +@@ -3394,18 +1997,14 @@ Then, we extract the coordinates of the interface nodes.
Table 14: First 10x10 elements of the Mass matrixTable 10: First 10x10 elements of the Mass matrix
-

-Using K, M and int_xyz, we can use the Reduced Order Flexible Solid simscape block. -

-
-
-
-

4.3 Flexible Joint Characteristics

-

-The most important parameters of the flexible joint can be directly estimated from the stiffness matrix. +Then, we extract the coordinates of the interface nodes.

+
+
[int_xyz, int_i, n_xyz, n_i, nodes] = extractNodes('flex025_out_nodes_3D.txt');
+
+
@@ -3413,47 +2012,82 @@ The most important parameters of the flexible joint can be directly estimated fr ++ + + + + + + + + + + + + + + + + + + + + + +
Total number of Nodes2
Number of interface Nodes2
Number of Modes6
Size of M and K matrices18
+ + + + +++ ++ ++ ++ - - + + + + + - - + + + + + - - - - - - - - - - - - - - - - - + + + + +
Table 11: Coordinates of the interface nodes
CaracteristicValueNode iNode Numberx [m]y [m]z [m]
Axial Stiffness [N/um]94.01.0528875.00.00.00.0
Shear Stiffness [N/um]12.7
Bending Stiffness [Nm/rad]4.8
Bending Stiffness [Nm/rad]4.8
Torsion Stiffness [Nm/rad]260.22.0528876.00.00.0-0.0
+ +

+Using K, M and int_xyz, we can use the Reduced Order Flexible Solid simscape block. +

-
-

4.4 Identification of the parameters using Simscape

-
+
+

3.2 Identification of the parameters using Simscape

+

The flexor is now imported into Simscape and its parameters are estimated using an identification.

@@ -3509,18 +2143,18 @@ And we find the same parameters as the one estimated from the Stiffness matrix.
-
-

4.5 Simpler Model

-
+
+

3.3 Simpler Model

+

-Let’s now model the flexible joint with a “perfect” Bushing joint as shown in Figure 18. +Let’s now model the flexible joint with a “perfect” Bushing joint as shown in Figure 15.

-
+

flexible_joint_simscape.png

-

Figure 21: Bushing Joint used to model the flexible joint

+

Figure 18: Bushing Joint used to model the flexible joint

@@ -3542,229 +2176,28 @@ The two obtained dynamics are compared in Figure

-
+

flexor_ID16_compare_bushing_joint.png

-

Figure 22: Comparison of the Joint compliance between the FEM model and the simpler model

-
+

Figure 19: Comparison of the Joint compliance between the FEM model and the simpler model

-
-

5 Integral Force Feedback with Amplified Piezo

-
+
+

3.4 Comparison with a stiffer Flexible Joint

+

-In this section, we try to replicate the results obtained in (Souleille et al. 2018). -

-
- -
-

5.1 Import Mass Matrix, Stiffness Matrix, and Interface Nodes Coordinates

-
-

-We first extract the stiffness and mass matrices. +The stiffness matrix with the flexible joint with a “hinge” size of 0.50mm is loaded.

-
K = extractMatrix('piezo_amplified_IFF_K.txt');
-M = extractMatrix('piezo_amplified_IFF_M.txt');
+
K_050 = readmatrix('flex050_mat_K.CSV');
 

-Then, we extract the coordinates of the interface nodes. +Its parameters are compared with the Flexible Joint with a size of 0.25mm in the table below.

-
-
[int_xyz, int_i, n_xyz, n_i, nodes] = extractNodes('piezo_amplified_IFF.txt');
-
-
-
-
- -
-

5.2 IFF Plant

-
-

-The transfer function from the force actuator to the force sensor is identified and shown in Figure 23. -

- -
-
Kiff = tf(0);
-
-
- -
-
m = 0;
-
-
- -
-
%% Name of the Simulink File
-mdl = 'piezo_amplified_IFF';
-
-%% Input/Output definition
-clear io; io_i = 1;
-io(io_i) = linio([mdl, '/Kiff'], 1, 'openinput');  io_i = io_i + 1;
-io(io_i) = linio([mdl, '/G'],    1, 'openoutput'); io_i = io_i + 1;
-
-Gf = linearize(mdl, io);
-
-
- -
-
m = 10;
-
-
- -
-
Gfm = linearize(mdl, io);
-
-
- - -
-

piezo_amplified_iff_plant.png -

-

Figure 23: IFF Plant

-
-
-
- -
-

5.3 IFF controller

-
-

-The controller is defined and the loop gain is shown in Figure 24. -

-
-
Kiff = -1e12/s;
-
-
- - -
-

piezo_amplified_iff_loop_gain.png -

-

Figure 24: IFF Loop Gain

-
-
-
- -
-

5.4 Closed Loop System

-
-
-
m = 10;
-
-
- -
-
Kiff = -1e12/s;
-
-
- -
-
%% Name of the Simulink File
-mdl = 'piezo_amplified_IFF';
-
-%% Input/Output definition
-clear io; io_i = 1;
-io(io_i) = linio([mdl, '/Dw'], 1, 'openinput');  io_i = io_i + 1;
-io(io_i) = linio([mdl, '/F'],  1, 'openinput');  io_i = io_i + 1;
-io(io_i) = linio([mdl, '/Fd'], 1, 'openinput');  io_i = io_i + 1;
-io(io_i) = linio([mdl, '/d'],  1, 'openoutput'); io_i = io_i + 1;
-io(io_i) = linio([mdl, '/G'],  1, 'output'); io_i = io_i + 1;
-
-Giff = linearize(mdl, io);
-Giff.InputName  = {'w', 'f', 'F'};
-Giff.OutputName  = {'x1', 'Fs'};
-
-
- -
-
Kiff = tf(0);
-
-
- -
-
G = linearize(mdl, io);
-G.InputName  = {'w', 'f', 'F'};
-G.OutputName  = {'x1', 'Fs'};
-
-
- - -
-

piezo_amplified_iff_comp.png -

-

Figure 25: OL and CL transfer functions

-
- - - -
-

souleille18_results.png -

-

Figure 26: Results obtained in souleille18_concep_activ_mount_space_applic

-
-
-
-
- -
-

6 Complete Strut with Encoder

-
-
-
-

6.1 Introduction

-
- -
-

points3.jpg -

-

Figure 27: Interface points

-
- -

-Flexible joints have 0.25mm width. -

-
-
- -
-

6.2 Import Mass Matrix, Stiffness Matrix, and Interface Nodes Coordinates

-
-

-We first extract the stiffness and mass matrices. -

-
-
K = readmatrix('mat_K.CSV');
-M = readmatrix('mat_M.CSV');
-
-
- -

-Then, we extract the coordinates of the interface nodes. -

-
-
[int_xyz, int_i, n_xyz, n_i, nodes] = extractNodes('out_nodes_3D.txt');
-
-
- -
-
save('./mat/strut_encoder.mat', 'int_xyz', 'int_i', 'n_xyz', 'n_i', 'nodes', 'M', 'K');
-
-
-
-
- -
-

6.3 Output parameters

-
-
-
load('./mat/strut_encoder.mat', 'int_xyz', 'int_i', 'n_xyz', 'n_i', 'nodes', 'M', 'K');
-
-
@@ -3772,123 +2205,109 @@ Then, we extract the coordinates of the interface nodes. -- - - - - - - - - - - - - - - - - - - - - - -
Total number of Nodes8
Number of interface Nodes8
Number of Modes6
Size of M and K matrices54
- - - - --- -- -- - - - - - + + + - - - - - + + + - - - - - + + + - - - - - + + + - - - - - + + + - - - - - - - - - - - - - - - - - - - - - - - - - - - - - + + +
Table 15: Coordinates of the interface nodes
Node iNode Numberx [m]y [m]z [m]Caracteristic0.25 mm0.50 mm
1.0504411.00.00.00.0405Axial Stiffness Dz [N/um]94.0124.7
2.0504412.00.00.0-0.0405Shear Stiffness [N/um]12.725.8
3.0504413.0-0.03250.00.0Bending Stiffness Rx [Nm/rad]4.826.0
4.0504414.0-0.01250.00.0Bending Stiffness Ry [Nm/rad]4.826.0
5.0504415.0-0.00750.00.0
6.0504416.00.03250.00.0
7.0504417.00.0040.0145-0.00175
8.0504418.00.0040.0166-0.00175Torsion Stiffness Rz [Nm/rad]260.2538.0
+
+
+
+ +
+

4 Complete Strut with Encoder

+
+

+ +

+
+
+

4.1 Introduction

+
+

+Now, the full nano-hexapod strut is modelled using Ansys. +

+ +

+The 3D as well as the interface nodes are shown in Figure 20. +

+ + +
+

strut_encoder_nodes.jpg +

+

Figure 20: Interface points

+
+ +

+A side view is shown in Figure 21. +

+ + +
+

strut_encoder_nodes_side.jpg +

+

Figure 21: Interface points - Side view

+
+ +

+The flexible joints used have a 0.25mm width size. +

+
+
+ +
+

4.2 Import Mass Matrix, Stiffness Matrix, and Interface Nodes Coordinates

+
+

+We first extract the stiffness and mass matrices. +

+
+
K = readmatrix('strut_encoder_mat_K.CSV');
+M = readmatrix('strut_encoder_mat_M.CSV');
+
+
- +@@ -4046,7 +2465,7 @@ Then, we extract the coordinates of the interface nodes.
Table 16: First 10x10 elements of the Stiffness matrixTable 12: First 10x10 elements of the Stiffness matrix
- +@@ -4202,18 +2621,145 @@ Then, we extract the coordinates of the interface nodes.
Table 17: First 10x10 elements of the Mass matrixTable 13: First 10x10 elements of the Mass matrix
+ +

+Then, we extract the coordinates of the interface nodes. +

+
+
[int_xyz, int_i, n_xyz, n_i, nodes] = extractNodes('strut_encoder_out_nodes_3D.txt');
+
+
+ + + + +++ ++ + + + + + + + + + + + + + + + + + + + + + +
Total number of Nodes8
Number of interface Nodes8
Number of Modes6
Size of M and K matrices54
+ + + + +++ ++ ++ ++ ++ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Table 14: Coordinates of the interface nodes
Node iNode Numberx [m]y [m]z [m]
1.0504411.00.00.00.0405
2.0504412.00.00.0-0.0405
3.0504413.0-0.03250.00.0
4.0504414.0-0.01250.00.0
5.0504415.0-0.00750.00.0
6.0504416.00.03250.00.0
7.0504417.00.0040.0145-0.00175
8.0504418.00.0040.0166-0.00175
+

Using K, M and int_xyz, we can use the Reduced Order Flexible Solid simscape block.

- - - -
-

6.4 Piezoelectric parameters

-
+
+

4.3 Piezoelectric parameters

+

Parameters for the APA300ML:

@@ -4236,9 +2782,9 @@ ns = 1; % Number of stacks used as force sensor
-
-

6.5 Identification of the Dynamics

-
+
+

4.4 Identification of the Dynamics

+

The dynamics is identified from the applied force to the measured relative displacement. The same dynamics is identified for a payload mass of 10Kg. @@ -4247,6 +2793,13 @@ The same dynamics is identified for a payload mass of 10Kg.

m = 10;
 
+ + +
+

dynamics_encoder_full_strut.png +

+

Figure 22: Dynamics from the force actuator to the measured motion by the encoder

+
@@ -4263,7 +2816,7 @@ The same dynamics is identified for a payload mass of 10Kg.

Author: Dehaeze Thomas

-

Created: 2020-11-12 jeu. 10:34

+

Created: 2020-11-12 jeu. 18:48

diff --git a/index.org b/index.org index c147ad8..b71deb5 100644 --- a/index.org +++ b/index.org @@ -45,7 +45,7 @@ In this document, Finite Element Models (FEM) of parts of the Nano-Hexapod are d A first geometry of a Flexible joint is modelled and its characteristics are identified from the Stiffness matrix as well as from the Simscape model. - Section [[sec:flexor_025]]: An optimized flexible joint is developed for the Nano-Hexapod and is then imported in a Simscape model. -- Section [[sec:strut_fem]]: +- Section [[sec:strut_encoder]]: A super element of a complete strut is exported. * APA300ML @@ -1482,7 +1482,10 @@ Its parameters are compared with the Flexible Joint with a size of 0.25mm in the | Torsion Stiffness Rz [Nm/rad] | 260.2 | 538.0 | * Complete Strut with Encoder -<> +:PROPERTIES: +:header-args:matlab+: :tangle matlab/strut_encoder.m +:END: +<> ** Introduction Now, the full nano-hexapod strut is modelled using Ansys. @@ -1491,7 +1494,13 @@ The 3D as well as the interface nodes are shown in Figure [[fig:strut_encoder_po #+name: fig:strut_encoder_points3 #+caption: Interface points -[[file:figs/strut_fem_nodes.jpg]] +[[file:figs/strut_encoder_nodes.jpg]] + +A side view is shown in Figure [[fig:strut_encoder_nodes_side]]. + +#+name: fig:strut_encoder_nodes_side +#+caption: Interface points - Side view +[[file:figs/strut_encoder_nodes_side.jpg]] The flexible joints used have a 0.25mm width size. @@ -1504,8 +1513,13 @@ The flexible joints used have a 0.25mm width size. <> #+end_src -#+begin_src matlab - addpath('./data/strut_encoder/'); +#+begin_src matlab :tangle no + addpath('matlab/'); + addpath('matlab/strut_encoder/'); +#+end_src + +#+begin_src matlab :eval no + addpath('strut_encoder/'); #+end_src #+begin_src matlab @@ -1515,51 +1529,10 @@ The flexible joints used have a 0.25mm width size. ** Import Mass Matrix, Stiffness Matrix, and Interface Nodes Coordinates We first extract the stiffness and mass matrices. #+begin_src matlab - K = readmatrix('mat_K.CSV'); - M = readmatrix('mat_M.CSV'); + K = readmatrix('strut_encoder_mat_K.CSV'); + M = readmatrix('strut_encoder_mat_M.CSV'); #+end_src -Then, we extract the coordinates of the interface nodes. -#+begin_src matlab - [int_xyz, int_i, n_xyz, n_i, nodes] = extractNodes('out_nodes_3D.txt'); -#+end_src - -#+begin_src matlab - save('./mat/strut_encoder.mat', 'int_xyz', 'int_i', 'n_xyz', 'n_i', 'nodes', 'M', 'K'); -#+end_src - -** Output parameters -#+begin_src matlab - load('./mat/strut_encoder.mat', 'int_xyz', 'int_i', 'n_xyz', 'n_i', 'nodes', 'M', 'K'); -#+end_src - -#+begin_src matlab :exports results :results value table replace :tangle no - data2orgtable([length(n_i); length(int_i); size(M,1) - 6*length(int_i); size(M,1)], {'Total number of Nodes', 'Number of interface Nodes', 'Number of Modes', 'Size of M and K matrices'}, {}, ' %.0f '); -#+end_src - -#+RESULTS: -| Total number of Nodes | 8 | -| Number of interface Nodes | 8 | -| Number of Modes | 6 | -| Size of M and K matrices | 54 | - -#+begin_src matlab :exports results :results value table replace :tangle no :post addhdr(*this*) - data2orgtable([[1:length(int_i)]', int_i, int_xyz], {}, {'Node i', 'Node Number', 'x [m]', 'y [m]', 'z [m]'}, ' %f '); -#+end_src - -#+caption: Coordinates of the interface nodes -#+RESULTS: -| Node i | Node Number | x [m] | y [m] | z [m] | -|--------+-------------+---------+--------+----------| -| 1.0 | 504411.0 | 0.0 | 0.0 | 0.0405 | -| 2.0 | 504412.0 | 0.0 | 0.0 | -0.0405 | -| 3.0 | 504413.0 | -0.0325 | 0.0 | 0.0 | -| 4.0 | 504414.0 | -0.0125 | 0.0 | 0.0 | -| 5.0 | 504415.0 | -0.0075 | 0.0 | 0.0 | -| 6.0 | 504416.0 | 0.0325 | 0.0 | 0.0 | -| 7.0 | 504417.0 | 0.004 | 0.0145 | -0.00175 | -| 8.0 | 504418.0 | 0.004 | 0.0166 | -0.00175 | - #+begin_src matlab :exports results :results value table replace :tangle no data2orgtable(K(1:10, 1:10), {}, {}, ' %.1g '); #+end_src @@ -1595,11 +1568,41 @@ Then, we extract the coordinates of the interface nodes. | 8e-05 | 8e-05 | 0.0005 | -2e-08 | -7e-09 | -5e-09 | 0.003 | -0.02 | 0.08 | -5e-06 | | -5e-10 | -3e-08 | -3e-08 | 6e-12 | 6e-13 | 1e-12 | 1e-06 | 0.0001 | -5e-06 | 2e-06 | + +Then, we extract the coordinates of the interface nodes. +#+begin_src matlab + [int_xyz, int_i, n_xyz, n_i, nodes] = extractNodes('strut_encoder_out_nodes_3D.txt'); +#+end_src + +#+begin_src matlab :exports results :results value table replace :tangle no + data2orgtable([length(n_i); length(int_i); size(M,1) - 6*length(int_i); size(M,1)], {'Total number of Nodes', 'Number of interface Nodes', 'Number of Modes', 'Size of M and K matrices'}, {}, ' %.0f '); +#+end_src + +#+RESULTS: +| Total number of Nodes | 8 | +| Number of interface Nodes | 8 | +| Number of Modes | 6 | +| Size of M and K matrices | 54 | + +#+begin_src matlab :exports results :results value table replace :tangle no :post addhdr(*this*) + data2orgtable([[1:length(int_i)]', int_i, int_xyz], {}, {'Node i', 'Node Number', 'x [m]', 'y [m]', 'z [m]'}, ' %f '); +#+end_src + +#+caption: Coordinates of the interface nodes +#+RESULTS: +| Node i | Node Number | x [m] | y [m] | z [m] | +|--------+-------------+---------+--------+----------| +| 1.0 | 504411.0 | 0.0 | 0.0 | 0.0405 | +| 2.0 | 504412.0 | 0.0 | 0.0 | -0.0405 | +| 3.0 | 504413.0 | -0.0325 | 0.0 | 0.0 | +| 4.0 | 504414.0 | -0.0125 | 0.0 | 0.0 | +| 5.0 | 504415.0 | -0.0075 | 0.0 | 0.0 | +| 6.0 | 504416.0 | 0.0325 | 0.0 | 0.0 | +| 7.0 | 504417.0 | 0.004 | 0.0145 | -0.00175 | +| 8.0 | 504418.0 | 0.004 | 0.0166 | -0.00175 | + Using =K=, =M= and =int_xyz=, we can use the =Reduced Order Flexible Solid= simscape block. - - - ** Piezoelectric parameters Parameters for the APA300ML: @@ -1630,7 +1633,7 @@ The dynamics is identified from the applied force to the measured relative displ %% Input/Output definition clear io; io_i = 1; io(io_i) = linio([mdl, '/Fa'], 1, 'openinput'); io_i = io_i + 1; - io(io_i) = linio([mdl, '/L'], 1, 'openoutput'); io_i = io_i + 1; + io(io_i) = linio([mdl, '/L'], 1, 'openoutput'); io_i = io_i + 1; Gh = -linearize(mdl, io); #+end_src @@ -1648,10 +1651,9 @@ The same dynamics is identified for a payload mass of 10Kg. freqs = logspace(0, 4, 5000); figure; - tiledlayout(2, 1, 'TileSpacing', 'None', 'Padding', 'None'); + tiledlayout(3, 1, 'TileSpacing', 'None', 'Padding', 'None'); - % ax1 = subplot(2,1,1); - ax1 = nexttile; + ax1 = nexttile([2,1]); hold on; plot(freqs, abs(squeeze(freqresp(Gh, freqs, 'Hz'))), '-'); plot(freqs, abs(squeeze(freqresp(Ghm, freqs, 'Hz'))), '-'); @@ -1662,7 +1664,6 @@ The same dynamics is identified for a payload mass of 10Kg. hold off; ax2 = nexttile; - % ax2 = subplot(2,1,2); hold on; plot(freqs, 180/pi*angle(squeeze(freqresp(Gh, freqs, 'Hz'))), '-', ... 'DisplayName', '$m = 0kg$'); @@ -1670,17 +1671,25 @@ The same dynamics is identified for a payload mass of 10Kg. 'DisplayName', '$m = 10kg$'); set(gca, 'XScale', 'log'); set(gca, 'YScale', 'lin'); yticks(-360:90:360); - % ylim([-360 0]); + ylim([-180 180]); xlabel('Frequency [Hz]'); ylabel('Phase [deg]'); hold off; axis padded 'auto x' - - % linkaxes([ax1,ax2],'x'); - % xlim([freqs(1), freqs(end)]); - % legend('location', 'southwest'); #+end_src +#+begin_src matlab :tangle no :exports results :results file replace + exportFig('figs/dynamics_encoder_full_strut.pdf', 'width', 'wide', 'height', 'tall'); +#+end_src + +#+name: fig:dynamics_encoder_full_strut +#+caption: Dynamics from the force actuator to the measured motion by the encoder +#+RESULTS: +[[file:figs/dynamics_encoder_full_strut.png]] + * To Order :noexport: +:PROPERTIES: +:header-args:matlab+: :tangle no +:END: ** TODO Identification of the stiffness properties of the APA300ML *** APA Alone #+begin_src matlab :exports none diff --git a/mat/APA300ML.mat b/mat/APA300ML.mat deleted file mode 100644 index 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file mode 100644 index 0000000..343952e --- /dev/null +++ b/matlab/strut_encoder.m @@ -0,0 +1,103 @@ +%% Clear Workspace and Close figures +clear; close all; clc; + +%% Intialize Laplace variable +s = zpk('s'); + +addpath('strut_encoder/'); + +open('strut_encoder.slx'); + +% Import Mass Matrix, Stiffness Matrix, and Interface Nodes Coordinates +% We first extract the stiffness and mass matrices. + +K = readmatrix('strut_encoder_mat_K.CSV'); +M = readmatrix('strut_encoder_mat_M.CSV'); + + + +% #+caption: First 10x10 elements of the Mass matrix +% #+RESULTS: +% | 0.04 | -0.005 | 0.007 | 2e-06 | 0.0001 | -5e-07 | -1e-05 | -9e-07 | 8e-05 | -5e-10 | +% | -0.005 | 0.03 | 0.02 | -0.0001 | 1e-06 | -3e-07 | 3e-05 | -0.0001 | 8e-05 | -3e-08 | +% | 0.007 | 0.02 | 0.08 | -6e-06 | -5e-06 | -7e-07 | 4e-05 | -0.0001 | 0.0005 | -3e-08 | +% | 2e-06 | -0.0001 | -6e-06 | 2e-06 | -4e-10 | 2e-11 | -8e-09 | 3e-08 | -2e-08 | 6e-12 | +% | 0.0001 | 1e-06 | -5e-06 | -4e-10 | 3e-06 | 2e-10 | -3e-09 | 3e-09 | -7e-09 | 6e-13 | +% | -5e-07 | -3e-07 | -7e-07 | 2e-11 | 2e-10 | 5e-07 | -2e-08 | 5e-09 | -5e-09 | 1e-12 | +% | -1e-05 | 3e-05 | 4e-05 | -8e-09 | -3e-09 | -2e-08 | 0.04 | 0.004 | 0.003 | 1e-06 | +% | -9e-07 | -0.0001 | -0.0001 | 3e-08 | 3e-09 | 5e-09 | 0.004 | 0.02 | -0.02 | 0.0001 | +% | 8e-05 | 8e-05 | 0.0005 | -2e-08 | -7e-09 | -5e-09 | 0.003 | -0.02 | 0.08 | -5e-06 | +% | -5e-10 | -3e-08 | -3e-08 | 6e-12 | 6e-13 | 1e-12 | 1e-06 | 0.0001 | -5e-06 | 2e-06 | + + +% Then, we extract the coordinates of the interface nodes. + +[int_xyz, int_i, n_xyz, n_i, nodes] = extractNodes('strut_encoder_out_nodes_3D.txt'); + +% Piezoelectric parameters +% Parameters for the APA300ML: + + +d33 = 3e-10; % Strain constant [m/V] +n = 80; % Number of layers per stack +eT = 1.6e-8; % Permittivity under constant stress [F/m] +sD = 2e-11; % Elastic compliance under constant electric displacement [m2/N] +ka = 235e6; % Stack stiffness [N/m] +C = 5e-6; % Stack capactiance [F] + +na = 2; % Number of stacks used as actuator +ns = 1; % Number of stacks used as force sensor + +% Identification of the Dynamics + +m = 0.01; + + + +% The dynamics is identified from the applied force to the measured relative displacement. + +%% Name of the Simulink File +mdl = 'strut_encoder'; + +%% Input/Output definition +clear io; io_i = 1; +io(io_i) = linio([mdl, '/Fa'], 1, 'openinput'); io_i = io_i + 1; +io(io_i) = linio([mdl, '/L'], 1, 'openoutput'); io_i = io_i + 1; + +Gh = -linearize(mdl, io); + + + +% The same dynamics is identified for a payload mass of 10Kg. + +m = 10; + +Ghm = -linearize(mdl, io); + +freqs = logspace(0, 4, 5000); + +figure; +tiledlayout(3, 1, 'TileSpacing', 'None', 'Padding', 'None'); + +ax1 = nexttile([2,1]); +hold on; +plot(freqs, abs(squeeze(freqresp(Gh, freqs, 'Hz'))), '-'); +plot(freqs, abs(squeeze(freqresp(Ghm, freqs, 'Hz'))), '-'); +hold off; +set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log'); +ylabel('Amplitude'); set(gca, 'XTickLabel',[]); +axis padded 'auto x' +hold off; + +ax2 = nexttile; +hold on; +plot(freqs, 180/pi*angle(squeeze(freqresp(Gh, freqs, 'Hz'))), '-', ... + 'DisplayName', '$m = 0kg$'); +plot(freqs, 180/pi*angle(squeeze(freqresp(Ghm, freqs, 'Hz'))), '-', ... + 'DisplayName', '$m = 10kg$'); +set(gca, 'XScale', 'log'); set(gca, 'YScale', 'lin'); +yticks(-360:90:360); +ylim([-180 180]); +xlabel('Frequency [Hz]'); ylabel('Phase [deg]'); +hold off; +axis padded 'auto x' diff --git a/matlab/strut_encoder.slx b/matlab/strut_encoder.slx new file mode 100644 index 0000000000000000000000000000000000000000..7ebccb957cb441945aee599cfc0c20990ab2b548 GIT binary patch literal 35261 zcmaI7V~{3M*DTu8*0gQg)3$BfJ#E{bwr$(C-P5+7w)M1)JMX!19`eZg!8mp^= z^LaPEc0Rv)qwp1G2(9t?0wm1jaPr6xI6+CPRZArgfbJSavyLHwxDzdG@uSxLoZNZx z*DDB2g@(bFx_@?inf?@pWSSV`V`)#+)OqF?Fs2_A?nBha9o$k#L+yZG}`qH~%fUJNtx{bZ3P=Ygjcz84U=*!`Y$(wSsCq{eIC2K~ z)r-7cDB97Qp8>)1O$E$C|AjTP5p1+-?xdV70pv+Q*gUm8*%oA z#0E1x2@j?QINS3`S2d3WsBy1KVp@7$K>wQ?qz;`@?SI^KfP#SF{^Q2h%*Dvm$i;}! 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SELECTED NODES. DSYS= 0 - - *** ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 2020 R2 20.2 *** - DISTRIBUTED ANSYS Academic Research - - 00208316 VERSION=WINDOWS x64 16:56:48 JUL 28, 2020 CP= 2.234 - - Unknown - - - - NODE X Y Z THXY THYZ THZX - 53917 0.0000 -0.15000E-001 0.0000 0.00 0.00 0.00 - 53918 0.0000 0.15000E-001 0.0000 0.00 0.00 0.00 - 53919 -0.32500E-001 0.0000 0.0000 0.00 0.00 0.00 - 53920 -0.12500E-001 0.0000 0.0000 0.00 0.00 0.00 - 53921 -0.75000E-002 0.0000 0.0000 0.00 0.00 0.00 - 53922 0.12500E-001 0.0000 0.0000 0.00 0.00 0.00 - 53923 0.32500E-001 0.0000 0.0000 0.00 0.00 0.00 - - LIST MASTERS ON ALL SELECTED NODES. - CURRENT DOF SET= UX UY UZ ROTX ROTY ROTZ - - *** ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 2020 R2 20.2 *** - DISTRIBUTED ANSYS Academic Research - - 00208316 VERSION=WINDOWS x64 16:56:48 JUL 28, 2020 CP= 2.422 - - Unknown - - - NODE LABEL SUPPORT - 53917 UX - 53917 UY - 53917 UZ - 53917 ROTX - 53917 ROTY - 53917 ROTZ - 53918 UX - 53918 UY - 53918 UZ - 53918 ROTX - 53918 ROTY - 53918 ROTZ - 53919 UX - 53919 UY - 53919 UZ - 53919 ROTX - 53919 ROTY - 53919 ROTZ - 53920 UX - 53920 UY - 53920 UZ - 53920 ROTX - 53920 ROTY - 53920 ROTZ - 53921 UX - 53921 UY - 53921 UZ - 53921 ROTX - 53921 ROTY - 53921 ROTZ - 53922 UX - 53922 UY - 53922 UZ - 53922 ROTX - 53922 ROTY - 53922 ROTZ - 53923 UX - 53923 UY - 53923 UZ - 53923 ROTX - 53923 ROTY - 53923 ROTZ diff --git a/matlab/to-order/APA300ML_old/mat_K-48modes-7MDoF.matrix b/matlab/to-order/APA300ML_old/mat_K-48modes-7MDoF.matrix deleted file mode 100755 index 365e361..0000000 --- a/matlab/to-order/APA300ML_old/mat_K-48modes-7MDoF.matrix +++ /dev/null @@ -1,50 +0,0 @@ - -MAT_K: -[ 1, 1]: 1.885e+08 [ 1, 2]: 3.425e+04 [ 1, 3]: 4.765e+04 [ 1, 4]: 1.737e+02 [ 1, 5]:-1.166e+02 [ 1, 6]:-3.364e+05 [ 1, 7]: 1.411e+07 [ 1, 8]:-6.145e+03 [ 1, 9]: 1.771e+04 [ 1,10]:-5.996e+01 [ 1,11]:-1.058e+02 [ 1,12]: 2.654e+04 [ 1,13]:-1.005e+08 [ 1,14]: 1.614e+07 [ 1,15]: 6.609e+03 [ 1,16]:-5.581e+01 [ 1,17]:-2.494e+02 [ 1,18]:-6.314e+05 [ 1,19]:-6.515e+05 [ 1,20]:-2.583e+05 [ 1,21]:-1.103e+03 [ 1,22]:-3.192e+00 [ 1,23]:-5.323e+00 [ 1,24]: 1.013e+03 [ 1,25]: 2.699e+04 [ 1,26]: 1.563e+04 [ 1,27]: 6.742e+01 [ 1,28]: 1.981e-02 [ 1,29]:-2.045e-01 [ 1,30]:-3.303e+01 [ 1,31]:-6.358e+05 [ 1,32]: 2.533e+05 [ 1,33]:-1.689e+03 [ 1,34]:-3.051e+00 [ 1,35]: 7.171e+00 [ 1,36]: 1.086e+03 [ 1,37]:-1.008e+08 [ 1,38]:-1.618e+07 [ 1,39]:-6.925e+04 [ 1,40]: 3.974e+02 [ 1,41]:-2.003e+03 [ 1,42]:-6.330e+05 [ 1,43]: 0.000e+00 [ 1,44]: 0.000e+00 [ 1,45]: 0.000e+00 [ 1,46]: 0.000e+00 [ 1,47]: 0.000e+00 [ 1,48]: 0.000e+00 -[ 2, 1]: 3.425e+04 [ 2, 2]: 7.199e+06 [ 2, 3]: 1.007e+04 [ 2, 4]: 2.902e+01 [ 2, 5]:-2.590e+01 [ 2, 6]:-7.080e+01 [ 2, 7]: 6.574e+03 [ 2, 8]:-4.847e+05 [ 2, 9]: 3.341e+03 [ 2,10]:-1.145e+01 [ 2,11]:-1.310e+01 [ 2,12]: 1.547e+01 [ 2,13]: 1.944e+07 [ 2,14]:-3.401e+06 [ 2,15]:-2.084e+03 [ 2,16]: 9.619e+00 [ 2,17]: 4.804e+01 [ 2,18]: 1.183e+05 [ 2,19]: 1.246e+05 [ 2,20]: 4.960e+04 [ 2,21]: 2.022e+02 [ 2,22]: 6.212e-01 [ 2,23]: 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3,28]: 1.453e+01 [ 3,29]:-1.849e+01 [ 3,30]:-8.532e-02 [ 3,31]:-1.545e+03 [ 3,32]: 9.937e+02 [ 3,33]:-9.809e+04 [ 3,34]:-4.610e+01 [ 3,35]: 5.124e+02 [ 3,36]: 2.730e+00 [ 3,37]:-6.796e+04 [ 3,38]:-7.412e+03 [ 3,39]:-1.574e+07 [ 3,40]: 1.197e+05 [ 3,41]:-1.497e+05 [ 3,42]:-3.000e+02 [ 3,43]: 0.000e+00 [ 3,44]: 0.000e+00 [ 3,45]: 0.000e+00 [ 3,46]: 0.000e+00 [ 3,47]: 0.000e+00 [ 3,48]: 0.000e+00 -[ 4, 1]: 1.737e+02 [ 4, 2]: 2.902e+01 [ 4, 3]: 1.701e+05 [ 4, 4]: 1.303e+03 [ 4, 5]:-8.101e-01 [ 4, 6]:-4.367e-01 [ 4, 7]: 5.488e+01 [ 4, 8]:-5.973e+00 [ 4, 9]: 9.273e+03 [ 4,10]:-3.237e+01 [ 4,11]: 2.514e-02 [ 4,12]: 1.148e-01 [ 4,13]: 1.512e+01 [ 4,14]:-3.915e+00 [ 4,15]:-8.942e+04 [ 4,16]: 5.704e+02 [ 4,17]: 2.583e+02 [ 4,18]: 2.072e-01 [ 4,19]:-3.698e+00 [ 4,20]:-5.605e-01 [ 4,21]:-2.232e+02 [ 4,22]:-3.585e-01 [ 4,23]:-8.988e-01 [ 4,24]: 5.061e-04 [ 4,25]: 1.691e-01 [ 4,26]:-4.635e-03 [ 4,27]: 1.232e+01 [ 4,28]: 4.915e-02 [ 4,29]:-4.016e-02 [ 4,30]:-1.286e-04 [ 4,31]:-5.808e+00 [ 4,32]: 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8,24]:-1.940e+02 [ 8,25]: 3.592e+03 [ 8,26]:-3.514e+03 [ 8,27]:-8.476e+00 [ 8,28]:-1.098e-02 [ 8,29]: 2.808e-02 [ 8,30]: 3.091e+00 [ 8,31]: 1.204e+05 [ 8,32]: 4.845e+04 [ 8,33]: 1.808e+02 [ 8,34]:-1.747e+00 [ 8,35]: 7.019e-01 [ 8,36]: 2.098e+02 [ 8,37]: 1.950e+07 [ 8,38]:-3.411e+06 [ 8,39]: 6.059e+03 [ 8,40]: 2.691e+01 [ 8,41]: 1.836e+02 [ 8,42]:-1.186e+05 [ 8,43]: 0.000e+00 [ 8,44]: 0.000e+00 [ 8,45]: 0.000e+00 [ 8,46]: 0.000e+00 [ 8,47]: 0.000e+00 [ 8,48]: 0.000e+00 [ 8,49]: 0.000e+00 [ 8,50]: 0.000e+00 [ 8,51]: 0.000e+00 [ 8,52]: 0.000e+00 [ 8,53]: 0.000e+00 [ 8,54]: 0.000e+00 [ 8,55]: 0.000e+00 [ 8,56]: 0.000e+00 [ 8,57]: 0.000e+00 [ 8,58]: 0.000e+00 [ 8,59]: 0.000e+00 [ 8,60]: 0.000e+00 [ 8,61]: 0.000e+00 [ 8,62]: 0.000e+00 [ 8,63]: 0.000e+00 [ 8,64]: 0.000e+00 [ 8,65]: 0.000e+00 [ 8,66]: 0.000e+00 [ 8,67]: 0.000e+00 [ 8,68]: 0.000e+00 [ 8,69]: 0.000e+00 [ 8,70]: 0.000e+00 [ 8,71]: 0.000e+00 [ 8,72]: 0.000e+00 [ 8,73]: 0.000e+00 [ 8,74]: 0.000e+00 [ 8,75]: 0.000e+00 [ 8,76]: 0.000e+00 [ 8,77]: 0.000e+00 [ 8,78]: 0.000e+00 [ 8,79]: 0.000e+00 [ 8,80]: 0.000e+00 -[ 9, 1]: 1.771e+04 [ 9, 2]: 3.341e+03 [ 9, 3]: 2.496e+06 [ 9, 4]: 9.273e+03 [ 9, 5]: 1.765e+01 [ 9, 6]:-4.376e+01 [ 9, 7]: 2.552e+04 [ 9, 8]:-3.571e+03 [ 9, 9]: 2.915e+07 [ 9,10]:-1.701e+05 [ 9,11]:-1.769e+02 [ 9,12]: 5.496e+01 [ 9,13]: 1.959e+03 [ 9,14]: 2.310e+02 [ 9,15]:-1.572e+07 [ 9,16]:-1.194e+05 [ 9,17]: 1.491e+05 [ 9,18]: 6.027e+01 [ 9,19]:-1.664e+03 [ 9,20]:-1.012e+03 [ 9,21]:-1.021e+05 [ 9,22]: 6.438e+01 [ 9,23]:-4.787e+02 [ 9,24]: 4.568e+00 [ 9,25]: 6.144e+01 [ 9,26]: 7.522e+01 [ 9,27]: 5.970e+03 [ 9,28]:-1.453e+01 [ 9,29]:-1.848e+01 [ 9,30]:-1.052e-01 [ 9,31]:-3.162e+02 [ 9,32]:-3.034e+02 [ 9,33]:-9.757e+04 [ 9,34]: 4.938e+01 [ 9,35]: 5.111e+02 [ 9,36]:-1.352e+00 [ 9,37]:-4.327e+04 [ 9,38]: 1.239e+03 [ 9,39]:-1.573e+07 [ 9,40]:-1.196e+05 [ 9,41]:-1.495e+05 [ 9,42]: 1.505e+00 [ 9,43]: 0.000e+00 [ 9,44]: 0.000e+00 [ 9,45]: 0.000e+00 [ 9,46]: 0.000e+00 [ 9,47]: 0.000e+00 [ 9,48]: 0.000e+00 [ 9,49]: 0.000e+00 [ 9,50]: 0.000e+00 [ 9,51]: 0.000e+00 [ 9,52]: 0.000e+00 [ 9,53]: 0.000e+00 [ 9,54]: 0.000e+00 [ 9,55]: 0.000e+00 [ 9,56]: 0.000e+00 [ 9,57]: 0.000e+00 [ 9,58]: 0.000e+00 [ 9,59]: 0.000e+00 [ 9,60]: 0.000e+00 [ 9,61]: 0.000e+00 [ 9,62]: 0.000e+00 [ 9,63]: 0.000e+00 [ 9,64]: 0.000e+00 [ 9,65]: 0.000e+00 [ 9,66]: 0.000e+00 [ 9,67]: 0.000e+00 [ 9,68]: 0.000e+00 [ 9,69]: 0.000e+00 [ 9,70]: 0.000e+00 [ 9,71]: 0.000e+00 [ 9,72]: 0.000e+00 [ 9,73]: 0.000e+00 [ 9,74]: 0.000e+00 [ 9,75]: 0.000e+00 [ 9,76]: 0.000e+00 [ 9,77]: 0.000e+00 [ 9,78]: 0.000e+00 [ 9,79]: 0.000e+00 [ 9,80]: 0.000e+00 -[10, 1]:-5.996e+01 [10, 2]:-1.145e+01 [10, 3]:-9.272e+03 [10, 4]:-3.237e+01 [10, 5]:-5.052e-02 [10, 6]: 1.473e-01 [10, 7]:-5.032e+01 [10, 8]: 7.984e+00 [10, 9]:-1.701e+05 [10,10]: 1.304e+03 [10,11]: 8.169e-01 [10,12]:-8.924e-02 [10,13]:-1.439e+01 [10,14]:-4.720e-01 [10,15]: 8.945e+04 [10,16]: 5.706e+02 [10,17]:-2.584e+02 [10,18]:-9.975e-02 [10,19]: 3.756e+00 [10,20]: 2.961e+00 [10,21]: 2.235e+02 [10,22]:-3.579e-01 [10,23]: 8.990e-01 [10,24]:-1.387e-02 [10,25]:-1.423e-01 [10,26]:-2.364e-01 [10,27]:-1.233e+01 [10,28]: 4.920e-02 [10,29]: 4.018e-02 [10,30]: 2.603e-04 [10,31]: 1.348e+00 [10,32]: 2.877e+00 [10,33]: 2.147e+02 [10,34]:-2.972e-01 [10,35]:-9.730e-01 [10,36]: 1.109e-02 [10,37]: 1.197e+02 [10,38]:-1.668e+00 [10,39]: 8.952e+04 [10,40]: 5.716e+02 [10,41]: 2.601e+02 [10,42]: 2.267e-01 [10,43]: 0.000e+00 [10,44]: 0.000e+00 [10,45]: 0.000e+00 [10,46]: 0.000e+00 [10,47]: 0.000e+00 [10,48]: 0.000e+00 [10,49]: 0.000e+00 [10,50]: 0.000e+00 [10,51]: 0.000e+00 [10,52]: 0.000e+00 [10,53]: 0.000e+00 [10,54]: 0.000e+00 [10,55]: 0.000e+00 [10,56]: 0.000e+00 [10,57]: 0.000e+00 [10,58]: 0.000e+00 [10,59]: 0.000e+00 [10,60]: 0.000e+00 [10,61]: 0.000e+00 [10,62]: 0.000e+00 [10,63]: 0.000e+00 [10,64]: 0.000e+00 [10,65]: 0.000e+00 [10,66]: 0.000e+00 [10,67]: 0.000e+00 [10,68]: 0.000e+00 [10,69]: 0.000e+00 [10,70]: 0.000e+00 [10,71]: 0.000e+00 [10,72]: 0.000e+00 [10,73]: 0.000e+00 [10,74]: 0.000e+00 [10,75]: 0.000e+00 [10,76]: 0.000e+00 [10,77]: 0.000e+00 [10,78]: 0.000e+00 [10,79]: 0.000e+00 [10,80]: 0.000e+00 -[11, 1]:-1.058e+02 [11, 2]:-1.310e+01 [11, 3]: 1.427e+01 [11, 4]: 2.514e-02 [11, 5]: 6.993e+01 [11, 6]: 2.494e-01 [11, 7]:-2.238e+00 [11, 8]:-3.270e-01 [11, 9]:-1.769e+02 [11,10]: 8.169e-01 [11,11]: 1.040e+04 [11,12]:-1.012e-02 [11,13]: 8.267e+00 [11,14]: 3.634e+00 [11,15]:-1.639e+05 [11,16]:-1.104e+03 [11,17]: 9.835e+01 [11,18]: 1.097e-01 [11,19]:-2.841e+00 [11,20]:-4.134e+00 [11,21]:-1.768e+02 [11,22]: 7.604e-01 [11,23]:-4.714e-01 [11,24]: 2.030e-02 [11,25]: 9.148e-02 [11,26]: 2.870e-01 [11,27]: 7.068e+00 [11,28]:-6.647e-02 [11,29]:-2.187e-02 [11,30]:-7.220e-04 [11,31]: 1.646e+00 [11,32]: 6.291e+00 [11,33]: 1.724e+02 [11,34]:-6.596e-01 [11,35]:-5.369e-01 [11,36]: 2.344e-02 [11,37]: 1.009e+02 [11,38]: 7.352e+00 [11,39]: 1.641e+05 [11,40]: 1.106e+03 [11,41]: 1.010e+02 [11,42]: 9.123e-01 [11,43]: 0.000e+00 [11,44]: 0.000e+00 [11,45]: 0.000e+00 [11,46]: 0.000e+00 [11,47]: 0.000e+00 [11,48]: 0.000e+00 [11,49]: 0.000e+00 [11,50]: 0.000e+00 [11,51]: 0.000e+00 [11,52]: 0.000e+00 [11,53]: 0.000e+00 [11,54]: 0.000e+00 [11,55]: 0.000e+00 [11,56]: 0.000e+00 [11,57]: 0.000e+00 [11,58]: 0.000e+00 [11,59]: 0.000e+00 [11,60]: 0.000e+00 [11,61]: 0.000e+00 [11,62]: 0.000e+00 [11,63]: 0.000e+00 [11,64]: 0.000e+00 [11,65]: 0.000e+00 [11,66]: 0.000e+00 [11,67]: 0.000e+00 [11,68]: 0.000e+00 [11,69]: 0.000e+00 [11,70]: 0.000e+00 [11,71]: 0.000e+00 [11,72]: 0.000e+00 [11,73]: 0.000e+00 [11,74]: 0.000e+00 [11,75]: 0.000e+00 [11,76]: 0.000e+00 [11,77]: 0.000e+00 [11,78]: 0.000e+00 [11,79]: 0.000e+00 [11,80]: 0.000e+00 -[12, 1]: 2.654e+04 [12, 2]: 1.547e+01 [12, 3]: 3.557e+01 [12, 4]: 1.148e-01 [12, 5]:-9.956e-02 [12, 6]:-4.988e+01 [12, 7]: 3.367e+05 [12, 8]:-1.110e+02 [12, 9]: 5.496e+01 [12,10]:-8.924e-02 [12,11]:-1.012e-02 [12,12]: 8.977e+02 [12,13]:-1.800e+05 [12,14]:-2.279e+04 [12,15]:-1.613e+01 [12,16]:-6.389e-02 [12,17]: 4.322e-01 [12,18]: 1.164e+03 [12,19]:-1.175e+03 [12,20]: 4.513e+02 [12,21]: 1.285e+00 [12,22]: 8.884e-03 [12,23]: 5.162e-03 [12,24]:-1.754e+00 [12,25]: 4.868e+01 [12,26]:-2.710e+01 [12,27]:-5.659e-02 [12,28]:-2.468e-04 [12,29]: 1.727e-04 [12,30]: 5.739e-02 [12,31]:-1.141e+03 [12,32]:-4.462e+02 [12,33]:-2.328e+00 [12,34]: 1.861e-02 [12,35]:-5.538e-03 [12,36]:-1.907e+00 [12,37]:-1.810e+05 [12,38]: 2.290e+04 [12,39]:-7.328e+01 [12,40]:-2.794e-01 [12,41]:-2.225e+00 [12,42]: 1.170e+03 [12,43]: 0.000e+00 [12,44]: 0.000e+00 [12,45]: 0.000e+00 [12,46]: 0.000e+00 [12,47]: 0.000e+00 [12,48]: 0.000e+00 [12,49]: 0.000e+00 [12,50]: 0.000e+00 [12,51]: 0.000e+00 [12,52]: 0.000e+00 [12,53]: 0.000e+00 [12,54]: 0.000e+00 [12,55]: 0.000e+00 [12,56]: 0.000e+00 [12,57]: 0.000e+00 [12,58]: 0.000e+00 [12,59]: 0.000e+00 [12,60]: 0.000e+00 [12,61]: 0.000e+00 [12,62]: 0.000e+00 [12,63]: 0.000e+00 [12,64]: 0.000e+00 [12,65]: 0.000e+00 [12,66]: 0.000e+00 [12,67]: 0.000e+00 [12,68]: 0.000e+00 [12,69]: 0.000e+00 [12,70]: 0.000e+00 [12,71]: 0.000e+00 [12,72]: 0.000e+00 [12,73]: 0.000e+00 [12,74]: 0.000e+00 [12,75]: 0.000e+00 [12,76]: 0.000e+00 [12,77]: 0.000e+00 [12,78]: 0.000e+00 [12,79]: 0.000e+00 [12,80]: 0.000e+00 -[13, 1]:-1.005e+08 [13, 2]: 1.944e+07 [13, 3]: 6.558e+03 [13, 4]: 1.512e+01 [13, 5]:-2.777e+01 [13, 6]: 1.800e+05 [13, 7]:-1.006e+08 [13, 8]:-1.944e+07 [13, 9]: 1.959e+03 [13,10]:-1.439e+01 [13,11]: 8.267e+00 [13,12]:-1.800e+05 [13,13]: 4.373e+08 [13,14]: 5.732e+02 [13,15]:-6.656e+03 [13,16]: 6.345e+01 [13,17]: 1.720e+02 [13,18]:-1.042e+02 [13,19]:-2.373e+08 [13,20]: 2.269e+02 [13,21]: 2.638e+03 [13,22]:-1.066e+00 [13,23]: 5.069e+00 [13,24]:-7.726e+00 [13,25]: 8.278e+06 [13,26]: 3.495e+02 [13,27]:-2.861e+02 [13,28]: 1.982e-01 [13,29]: 4.590e+00 [13,30]: 1.083e+00 [13,31]:-3.994e+05 [13,32]: 1.952e+00 [13,33]:-9.648e+01 [13,34]: 2.302e-01 [13,35]: 1.788e-01 [13,36]:-1.372e-01 [13,37]:-6.774e+06 [13,38]: 7.908e+02 [13,39]:-4.118e+03 [13,40]: 5.377e+00 [13,41]:-1.119e+02 [13,42]: 3.889e+01 [13,43]: 0.000e+00 [13,44]: 0.000e+00 [13,45]: 0.000e+00 [13,46]: 0.000e+00 [13,47]: 0.000e+00 [13,48]: 0.000e+00 [13,49]: 0.000e+00 [13,50]: 0.000e+00 [13,51]: 0.000e+00 [13,52]: 0.000e+00 [13,53]: 0.000e+00 [13,54]: 0.000e+00 [13,55]: 0.000e+00 [13,56]: 0.000e+00 [13,57]: 0.000e+00 [13,58]: 0.000e+00 [13,59]: 0.000e+00 [13,60]: 0.000e+00 [13,61]: 0.000e+00 [13,62]: 0.000e+00 [13,63]: 0.000e+00 [13,64]: 0.000e+00 [13,65]: 0.000e+00 [13,66]: 0.000e+00 [13,67]: 0.000e+00 [13,68]: 0.000e+00 [13,69]: 0.000e+00 [13,70]: 0.000e+00 [13,71]: 0.000e+00 [13,72]: 0.000e+00 [13,73]: 0.000e+00 [13,74]: 0.000e+00 [13,75]: 0.000e+00 [13,76]: 0.000e+00 [13,77]: 0.000e+00 [13,78]: 0.000e+00 [13,79]: 0.000e+00 [13,80]: 0.000e+00 -[14, 1]: 1.614e+07 [14, 2]:-3.401e+06 [14, 3]:-1.372e+03 [14, 4]:-3.915e+00 [14, 5]:-1.719e+00 [14, 6]:-2.279e+04 [14, 7]:-1.614e+07 [14, 8]:-3.401e+06 [14, 9]: 2.310e+02 [14,10]:-4.720e-01 [14,11]: 3.634e+00 [14,12]:-2.279e+04 [14,13]: 5.732e+02 [14,14]: 3.969e+07 [14,15]: 2.282e+03 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b/matlab/to-order/APA300ML_old/mat_M-48modes-7MDoF.matrix deleted file mode 100755 index d8c11b4..0000000 --- a/matlab/to-order/APA300ML_old/mat_M-48modes-7MDoF.matrix +++ /dev/null @@ -1,50 +0,0 @@ - -MAT_M: -[ 1, 1]: 1.180e-02 [ 1, 2]: 7.465e-06 [ 1, 3]:-4.626e-06 [ 1, 4]:-5.658e-08 [ 1, 5]: 3.093e-09 [ 1, 6]:-4.927e-05 [ 1, 7]:-5.480e-04 [ 1, 8]:-1.670e-07 [ 1, 9]:-2.843e-06 [ 1,10]: 9.509e-09 [ 1,11]: 1.781e-08 [ 1,12]:-1.188e-06 [ 1,13]: 9.924e-04 [ 1,14]: 1.097e-03 [ 1,15]:-9.478e-07 [ 1,16]: 1.574e-08 [ 1,17]: 3.817e-09 [ 1,18]: 1.140e-05 [ 1,19]: 1.553e-05 [ 1,20]: 9.580e-06 [ 1,21]: 7.592e-08 [ 1,22]: 1.140e-10 [ 1,23]: 4.081e-10 [ 1,24]:-3.650e-08 [ 1,25]:-6.292e-07 [ 1,26]:-5.334e-07 [ 1,27]:-5.921e-09 [ 1,28]: 5.234e-14 [ 1,29]: 1.962e-11 [ 1,30]: 1.644e-09 [ 1,31]: 1.531e-05 [ 1,32]:-9.947e-06 [ 1,33]: 2.021e-07 [ 1,34]: 2.527e-10 [ 1,35]:-9.290e-10 [ 1,36]:-4.225e-08 [ 1,37]: 1.040e-03 [ 1,38]:-1.068e-03 [ 1,39]: 4.628e-06 [ 1,40]:-1.290e-07 [ 1,41]: 1.994e-07 [ 1,42]: 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[48,37]:-7.765e-05 [48,38]: 5.274e-05 [48,39]: 5.069e-03 [48,40]:-9.402e-06 [48,41]: 1.191e-04 [48,42]:-6.056e-07 [48,43]: 0.000e+00 [48,44]: 0.000e+00 [48,45]: 0.000e+00 [48,46]: 0.000e+00 [48,47]: 0.000e+00 [48,48]: 1.000e+00 diff --git a/matlab/to-order/APA300ML_old/mat_M-80modes-7MDoF.matrix b/matlab/to-order/APA300ML_old/mat_M-80modes-7MDoF.matrix deleted file mode 100755 index 49593ae..0000000 --- a/matlab/to-order/APA300ML_old/mat_M-80modes-7MDoF.matrix +++ /dev/null @@ -1,82 +0,0 @@ - -MAT_M: -[ 1, 1]: 1.180e-02 [ 1, 2]: 7.465e-06 [ 1, 3]:-4.626e-06 [ 1, 4]:-5.658e-08 [ 1, 5]: 3.093e-09 [ 1, 6]:-4.927e-05 [ 1, 7]:-5.480e-04 [ 1, 8]:-1.670e-07 [ 1, 9]:-2.843e-06 [ 1,10]: 9.509e-09 [ 1,11]: 1.781e-08 [ 1,12]:-1.188e-06 [ 1,13]: 9.924e-04 [ 1,14]: 1.097e-03 [ 1,15]:-9.478e-07 [ 1,16]: 1.574e-08 [ 1,17]: 3.817e-09 [ 1,18]: 1.140e-05 [ 1,19]: 1.553e-05 [ 1,20]: 9.580e-06 [ 1,21]: 7.592e-08 [ 1,22]: 1.140e-10 [ 1,23]: 4.081e-10 [ 1,24]:-3.650e-08 [ 1,25]:-6.292e-07 [ 1,26]:-5.334e-07 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Products 2020 R1 - SpaceClaim 2020 R1 - Autodyn 2020 R1 - Aqwa 2020 R1 - Customization Files for User Programmable Features 2020 R1 - Mechanical Products 2020 R1 - Additive 2020 R1 - Viewer 2020 R1 - ACIS Geometry Interface 2020 R1 - AutoCAD Geometry Interface 2020 R1 - Catia, Version 4 Geometry Interface 2020 R1 - Catia, Version 5 Geometry Interface 2020 R1 - Catia, Version 6 Geometry Interface 2020 R1 - Creo Elements/Direct Modeling Geometry Interface 2020 R1 - Creo Parametric Geometry Interface 2020 R1 - Inventor Geometry Interface 2020 R1 - JTOpen Geometry Interface 2020 R1 - NX Geometry Interface 2020 R1 - Parasolid Geometry Interface 2020 R1 - Solid Edge Geometry Interface 2020 R1 - SOLIDWORKS Geometry Interface 2020 R1 - ANSYS, Inc. License Manager 2020 R1 - - - ***** ANSYS COMMAND LINE ARGUMENTS ***** - BATCH MODE REQUESTED (-b) = NOLIST - INPUT FILE COPY MODE (-c) = COPY - DISTRIBUTED MEMORY PARALLEL REQUESTED - 4 PARALLEL PROCESSES REQUESTED WITH SINGLE THREAD PER PROCESS - TOTAL OF 4 CORES REQUESTED - DESIGNXPLORER REQUESTED - INPUT FILE NAME = C:\Users\brumund\Documents (Local)\ANSYS\NASS\_ProjectScratch\ScrA687\dummy.dat - OUTPUT FILE NAME = C:\Users\brumund\Documents (Local)\ANSYS\NASS\_ProjectScratch\ScrA687\solve.out - START-UP FILE MODE = NOREAD - STOP FILE MODE = NOREAD - - RELEASE= 2020 R1 BUILD= 20.1 UP20191203 VERSION=WINDOWS x64 - CURRENT JOBNAME=file0 15:55:33 JUN 12, 2020 CP= 0.234 - - - PARAMETER _DS_PROGRESS = 999.0000000 - - /INPUT FILE= ds.dat LINE= 0 - - - - *** NOTE *** CP = 0.344 TIME= 15:55:33 - The /CONFIG,NOELDB command is not valid in a Distributed ANSYS - solution. Command is ignored. - - *GET _WALLSTRT FROM ACTI ITEM=TIME WALL VALUE= 15.9258333 - - TITLE= - Piezo-APA95ML-3DElm--Modal (A5) - - - SET PARAMETER DIMENSIONS ON _WB_PROJECTSCRATCH_DIR - TYPE=STRI DIMENSIONS= 248 1 1 - - PARAMETER _WB_PROJECTSCRATCH_DIR(1) = C:\Users\brumund\Documents (Local)\ANSYS\NASS\_ProjectScratch\ScrA687\ - - SET PARAMETER DIMENSIONS ON _WB_SOLVERFILES_DIR - TYPE=STRI DIMENSIONS= 248 1 1 - - PARAMETER _WB_SOLVERFILES_DIR(1) = C:\Users\brumund\Documents (Local)\ANSYS\NASS\Piezo-APA95ML-3DElm_files\dp0\SYS-3\MECH\ - - SET PARAMETER DIMENSIONS ON _WB_USERFILES_DIR - TYPE=STRI DIMENSIONS= 248 1 1 - - PARAMETER _WB_USERFILES_DIR(1) = C:\Users\brumund\Documents (Local)\ANSYS\NASS\Piezo-APA95ML-3DElm_files\user_files\ - --- Data in consistent NMM units. See Solving Units in the help system for more - - MPA UNITS SPECIFIED FOR INTERNAL - LENGTH = MILLIMETERS (mm) - MASS = TONNE (Mg) - TIME = SECONDS (sec) - TEMPERATURE = CELSIUS (C) - TOFFSET = 273.0 - FORCE = NEWTON (N) - HEAT = MILLIJOULES (mJ) - - INPUT UNITS ARE ALSO SET TO MPA - - *** ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 2020 R1 20.1 *** - DISTRIBUTED ANSYS Academic Research - - 00208316 VERSION=WINDOWS x64 15:55:33 JUN 12, 2020 CP= 0.344 - - Piezo-APA95ML-3DElm--Modal (A5) - - - - ***** ANSYS ANALYSIS DEFINITION (PREP7) ***** - *********** Nodes for all Remote Points *********** - *********** Send Condensed Parts As Superelements *********** - *********** Include Condensed Part "Condensed Part" *********** - *********** Send User Defined Coordinate System(s) *********** - *********** Set Reference Temperature *********** - *********** Send Materials *********** - *********** Construct Remote Mass Using Remote Attachment *********** - *********** Construct Remote Displacement *********** - *** Create a component for all remote displacements *** - - - ***** ROUTINE COMPLETED ***** CP = 0.406 - - - --- Number of total nodes = 18 - --- Number of contact elements = 0 - --- Number of spring elements = 0 - --- Number of bearing elements = 0 - --- Number of solid elements = 105535 - --- Number of condensed parts = 0 - --- Number of total elements = 2 - - *GET _WALLBSOL FROM ACTI ITEM=TIME WALL VALUE= 15.9258333 - - ***** ANSYS SOLUTION ROUTINE ***** - - - PERFORM A MODAL ANALYSIS - THIS WILL BE A NEW ANALYSIS - - PARAMETER _THICKRATIO = 1.000000000 - - - USE SYM. BLOCK LANCZOS MODE EXTRACTION METHOD - EXTRACT 108 MODES - NORMALIZE THE MODE SHAPES TO THE MASS MATRIX - - ERASE THE CURRENT DATABASE OUTPUT CONTROL TABLE. - - - WRITE ALL ITEMS TO THE DATABASE WITH A FREQUENCY OF NONE - FOR ALL APPLICABLE ENTITIES - - WRITE NSOL ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL - FOR ALL APPLICABLE ENTITIES - - WRITE EANG ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL - FOR ALL APPLICABLE ENTITIES - - WRITE VENG ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL - FOR ALL APPLICABLE ENTITIES - - WRITE ETMP ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL - FOR ALL APPLICABLE ENTITIES - - WRITE STRS ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL - FOR ALL APPLICABLE ENTITIES - - WRITE EPEL ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL - FOR ALL APPLICABLE ENTITIES - - WRITE EPPL ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL - FOR ALL APPLICABLE ENTITIES - - WRITE RSOL ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL - FOR ALL APPLICABLE ENTITIES - - SELECT FOR ITEM=D COMPONENT=U BETWEEN 0.0000 AND 0.0000 - KABS= 0. TOLERANCE= 0.100000E-05 - - 1 NODES (OF 18 DEFINED) SELECTED BY NSEL COMMAND. - - ALSO SELECT FOR ITEM=D COMPONENT=ROT BETWEEN 0.0000 AND 0.0000 - KABS= 0. TOLERANCE= 0.100000E-05 - - 1 NODES (OF 18 DEFINED) SELECTED BY NSEL COMMAND. - - SELECT ALL ELEMENTS HAVING ANY NODE IN NODAL SET. - - 1 ELEMENTS (OF 2 DEFINED) SELECTED FROM - 1 SELECTED NODES BY ESLN COMMAND. - - DEFINITION OF COMPONENT = _CONSTRAINEDNODES ENTITY=ELEM - - ALL SELECT FOR ITEM=NODE COMPONENT= - IN RANGE 1 TO 168964 STEP 1 - - 18 NODES (OF 18 DEFINED) SELECTED BY NSEL COMMAND. - - ALL SELECT FOR ITEM=ELEM COMPONENT= - IN RANGE 1 TO 127001 STEP 1 - - 2 ELEMENTS (OF 2 DEFINED) SELECTED BY ESEL COMMAND. - - WRITE NLOA ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL - FOR THE ENTITIES DEFINED BY COMPONENT _CONSTRAINEDNODES - - WRITE CONT ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL - FOR ALL APPLICABLE ENTITIES - - - EXPAND ALL EXTRACTED MODES - CALCULATE ELEMENT RESULTS AND NODAL DOF SOLUTION - CALCULATE STRESSES IN ANY DOWNSTREAM MODE SUPERPOSITION EXPANSION PASS - - DO NOT COMBINE ELEMENT SAVE DATA FILES (.esav) AFTER DISTRIBUTED PARALLEL SOLUTION - - DO NOT COMBINE ELEMENT MATRIX FILES (.emat) AFTER DISTRIBUTED PARALLEL SOLUTION - - DO NOT COMBINE ASSEMBLED MATRIX FILES (.full) AFTER DISTRIBUTED PARALLEL SOLUTION - - *GET ANSINTER_ FROM ACTI ITEM=INT VALUE= 0.00000000 - - *IF ANSINTER_ ( = 0.00000 ) NE - 0 ( = 0.00000 ) THEN - - *ENDIF - - *** NOTE *** CP = 0.469 TIME= 15:55:33 - The automatic domain decomposition logic has selected the MESH domain - decomposition method with 4 processes per solution. - - ***** ANSYS SOLVE COMMAND ***** - - *** WARNING *** CP = 0.469 TIME= 15:55:33 - Element shape checking is currently inactive. Issue SHPP,ON or - SHPP,WARN to reactivate, if desired. - - *** NOTE *** CP = 0.469 TIME= 15:55:33 - The model data was checked and warning messages were found. - Please review output or errors file ( C:\Users\brumund\Documents - (Local)\ANSYS\NASS\_ProjectScratch\ScrA687\file0.err ) for these - warning messages. - - *** ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 2020 R1 20.1 *** - DISTRIBUTED ANSYS Academic Research - - 00208316 VERSION=WINDOWS x64 15:55:33 JUN 12, 2020 CP= 0.531 - - Piezo-APA95ML-3DElm--Modal (A5) - - - - S O L U T I O N O P T I O N S - - PROBLEM DIMENSIONALITY. . . . . . . . . . . . .3-D - DEGREES OF FREEDOM. . . . . . UX UY UZ ROTX ROTY ROTZ - ANALYSIS TYPE . . . . . . . . . . . . . . . . .MODAL - EXTRACTION METHOD. . . . . . . . . . . . . .BLOCK LANCZOS - OFFSET TEMPERATURE FROM ABSOLUTE ZERO . . . . . 273.15 - NUMBER OF MODES TO EXTRACT. . . . . . . . . . . 108 - GLOBALLY ASSEMBLED MATRIX . . . . . . . . . . .SYMMETRIC - NUMBER OF MODES TO EXPAND . . . . . . . . . . .ALL - ELEMENT RESULTS CALCULATION . . . . . . . . . .ON - - *** WARNING *** CP = 0.531 TIME= 15:55:33 - Material number 2 (used by element 127001) should normally have at - least one MP or one TB type command associated with it. Output of - energy by material may not be available. - - *** NOTE *** CP = 0.531 TIME= 15:55:33 - The step data was checked and warning messages were found. - Please review output or errors file ( C:\Users\brumund\Documents - (Local)\ANSYS\NASS\_ProjectScratch\ScrA687\file0.err ) for these - warning messages. - - *** NOTE *** CP = 0.594 TIME= 15:55:33 - Internal nodes from 200001 to 200010 are created for component mode - synthesis superelement. Also, the associated SUB files are updated - for the new nodes. - - *** NOTE *** CP = 0.594 TIME= 15:55:33 - The number of CPU processors specified is greater than the number of - elements selected in the model. The number of Distributed ANSYS - processes will be reduced to 2 for this solution. - - - - D I S T R I B U T E D D O M A I N D E C O M P O S E R - - ...Number of elements: 2 - ...Number of nodes: 28 - ...Decompose to 2 CPU domains - - *** NOTE *** CP = 0.594 TIME= 15:55:33 - ANSYS can optimally decompose the model into 2 CPU Domains, which does - not match the total number of processors specified upon startup of - Distributed ANSYS. Distributed parallel processing has been - temporarily modified to only use 2 processes for this solution. - ...Element load balance ratio = 1.000 - - - L O A D S T E P O P T I O N S - - LOAD STEP NUMBER. . . . . . . . . . . . . . . . 1 - THERMAL STRAINS INCLUDED IN THE LOAD VECTOR . . YES - PRINT OUTPUT CONTROLS . . . . . . . . . . . . .NO PRINTOUT - DATABASE OUTPUT CONTROLS - ITEM FREQUENCY COMPONENT - ALL NONE - NSOL ALL - EANG ALL - VENG ALL - ETMP ALL - STRS ALL - EPEL ALL - EPPL ALL - RSOL ALL - NLOA ALL _CONSTRAINEDNODES - CONT ALL - - - - *********** PRECISE MASS SUMMARY *********** - - TOTAL RIGID BODY MASS MATRIX ABOUT ORIGIN - Translational mass | Coupled translational/rotational mass - 0.16382E-03 0.0000 0.0000 | 0.0000 0.55514E-11 -0.29999E-07 - 0.0000 0.16382E-03 0.0000 | -0.55514E-11 0.0000 0.18635E-10 - 0.0000 0.0000 0.16382E-03 | 0.29999E-07 -0.18635E-10 0.0000 - ------------------------------------------ | ------------------------------------------ - | Rotational mass (inertia) - | 0.39922E-01 0.29086E-09 -0.14510E-09 - | 0.29086E-09 0.93584E-01 0.39192E-10 - | -0.14510E-09 0.39192E-10 0.12531 - - TOTAL MASS = 0.16382E-03 - The mass principal axes coincide with the global Cartesian axes - - CENTER OF MASS (X,Y,Z)= 0.11375E-06 0.18311E-03 0.33886E-07 - - TOTAL INERTIA ABOUT CENTER OF MASS - 0.39922E-01 0.29086E-09 -0.14510E-09 - 0.29086E-09 0.93584E-01 0.39193E-10 - -0.14510E-09 0.39193E-10 0.12531 - The inertia principal axes coincide with the global Cartesian axes - - - *** MASS SUMMARY BY ELEMENT TYPE *** - - TYPE MASS - 1 0.163824E-03 - 2 0.100000E-08 - - Range of element maximum matrix coefficients in global coordinates - Maximum = 8.529154772E+10 at element 127000. - Minimum = 8.529154772E+10 at element 127000. - - *** ELEMENT MATRIX FORMULATION TIMES - TYPE NUMBER ENAME TOTAL CP AVE CP - - 1 1 MATRIX50 0.062 0.062500 - 2 1 MASS21 0.000 0.000000 - Time at end of element matrix formulation CP = 1.046875. - - *** WARNING *** CP = 1.047 TIME= 15:55:33 - The requested number of modes is reduced from 108 to 102 since there - are only 102 degrees of freedom in the model. - - BLOCK LANCZOS CALCULATION OF UP TO 102 EIGENVECTORS. - NUMBER OF EQUATIONS = 102 - MAXIMUM WAVEFRONT = 108 - MAXIMUM MODES STORED = 102 - MINIMUM EIGENVALUE = 0.00000E+00 - MAXIMUM EIGENVALUE = 0.10000E+31 - - - Local memory allocated for solver = 0.369 MB - Local memory required for in-core solution = 0.320 MB - Local memory required for out-of-core solution = 0.320 MB - - Total memory allocated for solver = 0.616 MB - Total memory required for in-core solution = 0.534 MB - Total memory required for out-of-core solution = 0.534 MB - - *** NOTE *** CP = 1.219 TIME= 15:55:33 - The Distributed Sparse Matrix Solver used by the Block Lanczos - eigensolver is currently running in the in-core memory mode. This - memory mode uses the most amount of memory in order to avoid using the - hard drive as much as possible, which most often results in the - fastest solution time. This mode is recommended if enough physical - memory is present to accommodate all of the solver data. - - *** ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 2020 R1 20.1 *** - DISTRIBUTED ANSYS Academic Research - - 00208316 VERSION=WINDOWS x64 15:55:33 JUN 12, 2020 CP= 1.281 - - Piezo-APA95ML-3DElm--Modal (A5) - - - - *** FREQUENCIES FROM BLOCK LANCZOS ITERATION *** - - MODE FREQUENCY (HERTZ) - - - 1 482.8706328818 - 2 837.2647294522 - 3 1952.120400597 - 4 3060.023885602 - 5 3791.359308381 - 6 3913.453309628 - 7 4394.083597174 - 8 4882.152613685 - 9 6948.413063165 - 10 8005.856711552 - 11 9129.340599414 - 12 9542.316968838 - 13 9567.014390120 - 14 10144.83475054 - 15 11064.02470840 - 16 12564.37753853 - 17 12804.81114371 - 18 13646.83497401 - 19 14240.59935792 - 20 14686.89900851 - 21 16171.06240672 - 22 16746.35450598 - 23 16810.50396741 - 24 19020.15050376 - 25 19555.91443158 - 26 20120.46778378 - 27 21169.99436047 - 28 21462.03276253 - 29 23634.52116864 - 30 23893.22725461 - 31 24856.28295168 - 32 27024.68506467 - 33 27531.89485442 - 34 28157.93034174 - 35 28183.00367766 - 36 28905.94266107 - 37 31222.67860186 - 38 31537.13501400 - 39 32812.43776194 - 40 33240.20597567 - 41 33554.45972827 - 42 35719.48244125 - 43 37256.19961779 - 44 38450.92794507 - 45 38712.77779295 - 46 39956.11338511 - 47 41810.87991331 - 48 42404.71780848 - 49 42877.27655756 - 50 44810.26783686 - 51 46402.03612410 - 52 46997.94668280 - 53 49255.13094278 - 54 52017.06626226 - 55 53564.51418649 - 56 54563.89753389 - 57 55003.88881897 - 58 56666.75977606 - 59 58703.69223350 - 60 60863.78030409 - 61 64252.13868224 - 62 66686.57240891 - 63 67946.81860164 - 64 70993.60341175 - 65 71222.41544028 - 66 76710.54521843 - 67 77329.76569192 - 68 79166.05584424 - 69 80110.42892302 - 70 81966.86244176 - 71 82527.26464498 - 72 84346.14525514 - 73 86792.72636776 - 74 90243.03933958 - 75 90747.95300512 - 76 92986.97767187 - 77 93497.21481976 - 78 95197.04405520 - 79 97508.60762466 - 80 101671.9042449 - 81 103798.6789427 - 82 104870.5105104 - 83 113265.1157352 - 84 116646.2198045 - 85 118247.4159708 - 86 119127.8772478 - 87 121696.1296512 - 88 125022.2552707 - 89 131769.6441448 - 90 134210.7547039 - 91 136729.4493769 - 92 142359.6500853 - 93 143999.0964470 - 94 147909.8563900 - 95 151224.1377965 - 96 151725.6399570 - 97 155168.2231291 - 98 156318.9331188 - 99 156850.0938894 - 100 157001.9709084 - 101 157042.9086226 - 102 168951.9532341 - - *** ELEMENT RESULT CALCULATION TIMES - TYPE NUMBER ENAME TOTAL CP AVE CP - - 1 1 MATRIX50 0.016 0.015625 - 2 1 MASS21 0.000 0.000000 - - *** NODAL LOAD CALCULATION TIMES - TYPE NUMBER ENAME TOTAL CP AVE CP - - 1 1 MATRIX50 0.000 0.000000 - 2 1 MASS21 0.000 0.000000 - - *** ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 2020 R1 20.1 *** - DISTRIBUTED ANSYS Academic Research - - 00208316 VERSION=WINDOWS x64 15:55:34 JUN 12, 2020 CP= 2.562 - - Piezo-APA95ML-3DElm--Modal (A5) - - - - - - ***** PARTICIPATION FACTOR CALCULATION ***** X DIRECTION - CUMULATIVE RATIO EFF.MASS - MODE FREQUENCY PERIOD PARTIC.FACTOR RATIO EFFECTIVE MASS MASS FRACTION TO TOTAL MASS - 1 482.871 0.20709E-02 0.94257E-02 1.000000 0.888447E-04 0.572699 0.542316 - 2 837.265 0.11944E-02 -0.43536E-06 0.000046 0.189535E-12 0.572699 0.115694E-08 - 3 1952.12 0.51226E-03 -0.21282E-06 0.000023 0.452925E-13 0.572699 0.276469E-09 - 4 3060.02 0.32679E-03 0.42414E-06 0.000045 0.179898E-12 0.572699 0.109811E-08 - 5 3791.36 0.26376E-03 0.34379E-02 0.364740 0.118195E-04 0.648888 0.721472E-01 - 6 3913.45 0.25553E-03 -0.41692E-06 0.000044 0.173823E-12 0.648888 0.106103E-08 - 7 4394.08 0.22758E-03 0.75856E-06 0.000080 0.575417E-12 0.648888 0.351240E-08 - 8 4882.15 0.20483E-03 0.30720E-07 0.000003 0.943689E-15 0.648888 0.576037E-11 - 9 6948.41 0.14392E-03 -0.16186E-02 0.171721 0.261987E-05 0.665776 0.159919E-01 - 10 8005.86 0.12491E-03 -0.10860E-05 0.000115 0.117936E-11 0.665776 0.719891E-08 - 11 9129.34 0.10954E-03 0.66353E-07 0.000007 0.440270E-14 0.665776 0.268745E-10 - 12 9542.32 0.10480E-03 0.23713E-02 0.251578 0.562311E-05 0.702023 0.343240E-01 - 13 9567.01 0.10453E-03 -0.49300E-04 0.005230 0.243054E-08 0.702039 0.148362E-04 - 14 10144.8 0.98572E-04 -0.34414E-06 0.000037 0.118430E-12 0.702039 0.722905E-09 - 15 11064.0 0.90383E-04 -0.71970E-07 0.000008 0.517967E-14 0.702039 0.316172E-10 - 16 12564.4 0.79590E-04 0.20714E-06 0.000022 0.429078E-13 0.702039 0.261913E-09 - 17 12804.8 0.78096E-04 0.14786E-05 0.000157 0.218612E-11 0.702039 0.133442E-07 - 18 13646.8 0.73277E-04 -0.50046E-02 0.530946 0.250457E-04 0.863485 0.152881 - 19 14240.6 0.70222E-04 0.82215E-06 0.000087 0.675928E-12 0.863485 0.412592E-08 - 20 14686.9 0.68088E-04 0.29980E-06 0.000032 0.898819E-13 0.863485 0.548647E-09 - 21 16171.1 0.61839E-04 0.19393E-02 0.205746 0.376093E-05 0.887728 0.229571E-01 - 22 16746.4 0.59714E-04 -0.39211E-06 0.000042 0.153754E-12 0.887728 0.938527E-09 - 23 16810.5 0.59487E-04 0.31280E-06 0.000033 0.978420E-13 0.887728 0.597236E-09 - 24 19020.2 0.52576E-04 -0.32826E-07 0.000003 0.107753E-14 0.887728 0.657736E-11 - 25 19555.9 0.51135E-04 0.40551E-03 0.043021 0.164438E-06 0.888788 0.100374E-02 - 26 20120.5 0.49701E-04 -0.52983E-07 0.000006 0.280720E-14 0.888788 0.171354E-10 - 27 21170.0 0.47237E-04 -0.26699E-07 0.000003 0.712815E-15 0.888788 0.435109E-11 - 28 21462.0 0.46594E-04 -0.21350E-06 0.000023 0.455805E-13 0.888788 0.278227E-09 - 29 23634.5 0.42311E-04 0.22677E-05 0.000241 0.514264E-11 0.888788 0.313911E-07 - 30 23893.2 0.41853E-04 -0.16607E-02 0.176193 0.275809E-05 0.906567 0.168356E-01 - 31 24856.3 0.40231E-04 0.29825E-05 0.000316 0.889523E-11 0.906567 0.542973E-07 - 32 27024.7 0.37003E-04 0.14457E-06 0.000015 0.208991E-13 0.906567 0.127570E-09 - 33 27531.9 0.36322E-04 -0.10687E-06 0.000011 0.114214E-13 0.906567 0.697171E-10 - 34 28157.9 0.35514E-04 0.16122E-05 0.000171 0.259907E-11 0.906567 0.158649E-07 - 35 28183.0 0.35482E-04 0.29565E-02 0.313663 0.874093E-05 0.962912 0.533554E-01 - 36 28905.9 0.34595E-04 0.34265E-06 0.000036 0.117410E-12 0.962912 0.716682E-09 - 37 31222.7 0.32028E-04 0.14580E-07 0.000002 0.212585E-15 0.962912 0.129764E-11 - 38 31537.1 0.31709E-04 0.11761E-05 0.000125 0.138313E-11 0.962912 0.844273E-08 - 39 32812.4 0.30476E-04 -0.14742E-02 0.156401 0.217326E-05 0.976921 0.132658E-01 - 40 33240.2 0.30084E-04 -0.51363E-06 0.000054 0.263815E-12 0.976921 0.161035E-08 - 41 33554.5 0.29802E-04 -0.62116E-06 0.000066 0.385840E-12 0.976921 0.235521E-08 - 42 35719.5 0.27996E-04 -0.52695E-06 0.000056 0.277678E-12 0.976921 0.169497E-08 - 43 37256.2 0.26841E-04 0.30502E-07 0.000003 0.930348E-15 0.976921 0.567893E-11 - 44 38450.9 0.26007E-04 -0.56158E-07 0.000006 0.315372E-14 0.976921 0.192506E-10 - 45 38712.8 0.25831E-04 -0.41813E-06 0.000044 0.174830E-12 0.976921 0.106718E-08 - 46 39956.1 0.25027E-04 0.80431E-06 0.000085 0.646919E-12 0.976921 0.394885E-08 - 47 41810.9 0.23917E-04 0.99274E-03 0.105322 0.985528E-06 0.983273 0.601575E-02 - 48 42404.7 0.23582E-04 0.32164E-06 0.000034 0.103450E-12 0.983273 0.631470E-09 - 49 42877.3 0.23322E-04 0.71603E-06 0.000076 0.512701E-12 0.983273 0.312957E-08 - 50 44810.3 0.22316E-04 0.12211E-02 0.129548 0.149106E-05 0.992885 0.910155E-02 - 51 46402.0 0.21551E-04 -0.88845E-04 0.009426 0.789338E-08 0.992936 0.481819E-04 - 52 46997.9 0.21278E-04 0.52484E-04 0.005568 0.275462E-08 0.992954 0.168145E-04 - 53 49255.1 0.20302E-04 0.66503E-07 0.000007 0.442270E-14 0.992954 0.269965E-10 - 54 52017.1 0.19224E-04 0.93401E-08 0.000001 0.872375E-16 0.992954 0.532506E-12 - 55 53564.5 0.18669E-04 -0.16813E-04 0.001784 0.282675E-09 0.992955 0.172547E-05 - 56 54563.9 0.18327E-04 0.26840E-07 0.000003 0.720391E-15 0.992955 0.439733E-11 - 57 55003.9 0.18181E-04 0.10281E-06 0.000011 0.105694E-13 0.992955 0.645168E-10 - 58 56666.8 0.17647E-04 0.11028E-05 0.000117 0.121619E-11 0.992955 0.742375E-08 - 59 58703.7 0.17035E-04 -0.62614E-04 0.006643 0.392048E-08 0.992981 0.239309E-04 - 60 60863.8 0.16430E-04 0.26463E-08 0.000000 0.700269E-17 0.992981 0.427451E-13 - 61 64252.1 0.15564E-04 0.45852E-04 0.004865 0.210243E-08 0.992994 0.128334E-04 - 62 66686.6 0.14996E-04 0.88946E-07 0.000009 0.791141E-14 0.992994 0.482920E-10 - 63 67946.8 0.14717E-04 0.31559E-07 0.000003 0.995946E-15 0.992994 0.607935E-11 - 64 70993.6 0.14086E-04 0.48807E-03 0.051781 0.238215E-06 0.994530 0.145408E-02 - 65 71222.4 0.14041E-04 -0.37199E-04 0.003946 0.138374E-08 0.994539 0.844645E-05 - 66 76710.5 0.13036E-04 -0.33077E-07 0.000004 0.109406E-14 0.994539 0.667823E-11 - 67 77329.8 0.12932E-04 -0.43883E-07 0.000005 0.192576E-14 0.994539 0.117550E-10 - 68 79166.1 0.12632E-04 -0.69585E-07 0.000007 0.484211E-14 0.994539 0.295567E-10 - 69 80110.4 0.12483E-04 -0.18611E-07 0.000002 0.346385E-15 0.994539 0.211436E-11 - 70 81966.9 0.12200E-04 0.98644E-04 0.010465 0.973071E-08 0.994601 0.593971E-04 - 71 82527.3 0.12117E-04 -0.37023E-08 0.000000 0.137073E-16 0.994601 0.836707E-13 - 72 84346.1 0.11856E-04 -0.19370E-03 0.020550 0.375198E-07 0.994843 0.229024E-03 - 73 86792.7 0.11522E-04 0.18202E-07 0.000002 0.331323E-15 0.994843 0.202243E-11 - 74 90243.0 0.11081E-04 -0.10710E-06 0.000011 0.114710E-13 0.994843 0.700197E-10 - 75 90748.0 0.11020E-04 0.30437E-09 0.000000 0.926408E-19 0.994843 0.565488E-15 - 76 92987.0 0.10754E-04 0.89124E-07 0.000009 0.794309E-14 0.994843 0.484853E-10 - 77 93497.2 0.10696E-04 0.16465E-06 0.000017 0.271110E-13 0.994843 0.165488E-09 - 78 95197.0 0.10505E-04 0.11362E-07 0.000001 0.129103E-15 0.994843 0.788059E-12 - 79 97508.6 0.10256E-04 0.26350E-04 0.002796 0.694309E-09 0.994848 0.423813E-05 - 80 101672. 0.98356E-05 -0.28688E-03 0.030435 0.822975E-07 0.995378 0.502351E-03 - 81 103799. 0.96340E-05 -0.11379E-07 0.000001 0.129483E-15 0.995378 0.790374E-12 - 82 104871. 0.95356E-05 0.79010E-08 0.000001 0.624258E-16 0.995378 0.381053E-12 - 83 113265. 0.88288E-05 -0.32336E-06 0.000034 0.104560E-12 0.995378 0.638242E-09 - 84 116646. 0.85729E-05 0.27076E-07 0.000003 0.733100E-15 0.995378 0.447491E-11 - 85 118247. 0.84568E-05 0.56099E-08 0.000001 0.314710E-16 0.995378 0.192102E-12 - 86 119128. 0.83943E-05 -0.81784E-06 0.000087 0.668860E-12 0.995378 0.408278E-08 - 87 121696. 0.82172E-05 0.19192E-06 0.000020 0.368341E-13 0.995378 0.224839E-09 - 88 125022. 0.79986E-05 0.52281E-03 0.055466 0.273330E-06 0.997140 0.166843E-02 - 89 131770. 0.75890E-05 -0.51829E-08 0.000001 0.268626E-16 0.997140 0.163972E-12 - 90 134211. 0.74510E-05 -0.60616E-06 0.000064 0.367433E-12 0.997140 0.224284E-08 - 91 136729. 0.73137E-05 0.30426E-04 0.003228 0.925748E-09 0.997146 0.565085E-05 - 92 142360. 0.70245E-05 0.63536E-03 0.067407 0.403680E-06 0.999748 0.246410E-02 - 93 143999. 0.69445E-05 -0.15062E-07 0.000002 0.226865E-15 0.999748 0.138481E-11 - 94 147910. 0.67609E-05 -0.17878E-05 0.000190 0.319624E-11 0.999748 0.195101E-07 - 95 151224. 0.66127E-05 -0.12618E-07 0.000001 0.159207E-15 0.999748 0.971814E-12 - 96 151726. 0.65908E-05 -0.13231E-03 0.014038 0.175072E-07 0.999861 0.106866E-03 - 97 155168. 0.64446E-05 -0.79448E-07 0.000008 0.631206E-14 0.999861 0.385294E-10 - 98 156319. 0.63972E-05 0.12200E-08 0.000000 0.148833E-17 0.999861 0.908488E-14 - 99 156850. 0.63755E-05 0.14676E-03 0.015570 0.215385E-07 1.00000 0.131473E-03 - 100 157002. 0.63693E-05 -0.93645E-08 0.000001 0.876941E-16 1.00000 0.535293E-12 - 101 157043. 0.63677E-05 0.32632E-06 0.000035 0.106482E-12 1.00000 0.649976E-09 - 102 168952. 0.59188E-05 -0.22952E-06 0.000024 0.526812E-13 1.00000 0.321571E-09 - ----------------------------------------------------------------------------------------------------------------- - sum 0.155133E-03 0.946947 - ----------------------------------------------------------------------------------------------------------------- - - - - ***** PARTICIPATION FACTOR CALCULATION ***** Y DIRECTION - CUMULATIVE RATIO EFF.MASS - MODE FREQUENCY PERIOD PARTIC.FACTOR RATIO EFFECTIVE MASS MASS FRACTION TO TOTAL MASS - 1 482.871 0.20709E-02 0.20914E-06 0.000019 0.437406E-13 0.285432E-09 0.266996E-09 - 2 837.265 0.11944E-02 0.21521E-06 0.000020 0.463160E-13 0.587670E-09 0.282717E-09 - 3 1952.12 0.51226E-03 0.10878E-01 1.000000 0.118342E-03 0.772246 0.722368 - 4 3060.02 0.32679E-03 0.28515E-06 0.000026 0.813106E-13 0.772246 0.496327E-09 - 5 3791.36 0.26376E-03 -0.89349E-06 0.000082 0.798332E-12 0.772246 0.487309E-08 - 6 3913.45 0.25553E-03 -0.24479E-06 0.000023 0.599216E-13 0.772246 0.365767E-09 - 7 4394.08 0.22758E-03 0.42552E-02 0.391160 0.181070E-04 0.890405 0.110527 - 8 4882.15 0.20483E-03 0.26883E-06 0.000025 0.722672E-13 0.890405 0.441126E-09 - 9 6948.41 0.14392E-03 0.18202E-06 0.000017 0.331299E-13 0.890405 0.202228E-09 - 10 8005.86 0.12491E-03 -0.16821E-02 0.154627 0.282947E-05 0.908869 0.172714E-01 - 11 9129.34 0.10954E-03 0.17196E-07 0.000002 0.295719E-15 0.908869 0.180510E-11 - 12 9542.32 0.10480E-03 0.11686E-04 0.001074 0.136560E-09 0.908869 0.833575E-06 - 13 9567.01 0.10453E-03 0.60451E-03 0.055569 0.365431E-06 0.911254 0.223062E-02 - 14 10144.8 0.98572E-04 -0.13533E-06 0.000012 0.183155E-13 0.911254 0.111800E-09 - 15 11064.0 0.90383E-04 -0.26243E-07 0.000002 0.688671E-15 0.911254 0.420371E-11 - 16 12564.4 0.79590E-04 -0.63228E-07 0.000006 0.399774E-14 0.911254 0.244026E-10 - 17 12804.8 0.78096E-04 0.15887E-03 0.014604 0.252382E-07 0.911419 0.154056E-03 - 18 13646.8 0.73277E-04 0.32232E-07 0.000003 0.103892E-14 0.911419 0.634163E-11 - 19 14240.6 0.70222E-04 -0.76003E-07 0.000007 0.577648E-14 0.911419 0.352602E-10 - 20 14686.9 0.68088E-04 0.33876E-07 0.000003 0.114756E-14 0.911419 0.700484E-11 - 21 16171.1 0.61839E-04 0.14872E-07 0.000001 0.221177E-15 0.911419 0.135009E-11 - 22 16746.4 0.59714E-04 0.72950E-07 0.000007 0.532165E-14 0.911419 0.324839E-10 - 23 16810.5 0.59487E-04 0.31070E-06 0.000029 0.965359E-13 0.911419 0.589264E-09 - 24 19020.2 0.52576E-04 -0.15419E-06 0.000014 0.237735E-13 0.911419 0.145116E-09 - 25 19555.9 0.51135E-04 -0.17621E-06 0.000016 0.310495E-13 0.911419 0.189529E-09 - 26 20120.5 0.49701E-04 0.35315E-06 0.000032 0.124712E-12 0.911419 0.761251E-09 - 27 21170.0 0.47237E-04 -0.28897E-02 0.265634 0.835036E-05 0.965910 0.509713E-01 - 28 21462.0 0.46594E-04 0.15038E-02 0.138238 0.226147E-05 0.980667 0.138042E-01 - 29 23634.5 0.42311E-04 -0.90550E-07 0.000008 0.819938E-14 0.980667 0.500498E-10 - 30 23893.2 0.41853E-04 0.11053E-05 0.000102 0.122168E-11 0.980667 0.745726E-08 - 31 24856.3 0.40231E-04 0.10360E-02 0.095232 0.107325E-05 0.987670 0.655119E-02 - 32 27024.7 0.37003E-04 0.27564E-06 0.000025 0.759797E-13 0.987670 0.463787E-09 - 33 27531.9 0.36322E-04 -0.41070E-06 0.000038 0.168677E-12 0.987670 0.102962E-08 - 34 28157.9 0.35514E-04 -0.81067E-07 0.000007 0.657191E-14 0.987670 0.401155E-10 - 35 28183.0 0.35482E-04 -0.43068E-06 0.000040 0.185488E-12 0.987670 0.113224E-08 - 36 28905.9 0.34595E-04 0.11978E-06 0.000011 0.143466E-13 0.987670 0.875731E-10 - 37 31222.7 0.32028E-04 0.12301E-06 0.000011 0.151304E-13 0.987670 0.923573E-10 - 38 31537.1 0.31709E-04 -0.53088E-03 0.048801 0.281838E-06 0.989510 0.172036E-02 - 39 32812.4 0.30476E-04 -0.26125E-06 0.000024 0.682538E-13 0.989510 0.416627E-09 - 40 33240.2 0.30084E-04 0.22370E-07 0.000002 0.500398E-15 0.989510 0.305448E-11 - 41 33554.5 0.29802E-04 -0.75348E-07 0.000007 0.567725E-14 0.989510 0.346544E-10 - 42 35719.5 0.27996E-04 -0.80350E-03 0.073862 0.645620E-06 0.993723 0.394092E-02 - 43 37256.2 0.26841E-04 0.43053E-06 0.000040 0.185360E-12 0.993723 0.113145E-08 - 44 38450.9 0.26007E-04 0.70403E-08 0.000001 0.495656E-16 0.993723 0.302553E-12 - 45 38712.8 0.25831E-04 -0.87609E-06 0.000081 0.767530E-12 0.993723 0.468507E-08 - 46 39956.1 0.25027E-04 -0.22874E-03 0.021027 0.523223E-07 0.994064 0.319380E-03 - 47 41810.9 0.23917E-04 0.12712E-05 0.000117 0.161603E-11 0.994064 0.986438E-08 - 48 42404.7 0.23582E-04 -0.24706E-03 0.022711 0.610400E-07 0.994462 0.372594E-03 - 49 42877.3 0.23322E-04 -0.64219E-06 0.000059 0.412404E-12 0.994462 0.251735E-08 - 50 44810.3 0.22316E-04 -0.71255E-06 0.000066 0.507721E-12 0.994462 0.309917E-08 - 51 46402.0 0.21551E-04 -0.45838E-05 0.000421 0.210114E-10 0.994463 0.128255E-06 - 52 46997.9 0.21278E-04 -0.42032E-05 0.000386 0.176669E-10 0.994463 0.107840E-06 - 53 49255.1 0.20302E-04 -0.83514E-07 0.000008 0.697464E-14 0.994463 0.425738E-10 - 54 52017.1 0.19224E-04 0.43566E-06 0.000040 0.189803E-12 0.994463 0.115857E-08 - 55 53564.5 0.18669E-04 0.26610E-05 0.000245 0.708083E-11 0.994463 0.432220E-07 - 56 54563.9 0.18327E-04 -0.23144E-05 0.000213 0.535657E-11 0.994463 0.326970E-07 - 57 55003.9 0.18181E-04 0.34417E-03 0.031637 0.118450E-06 0.995236 0.723029E-03 - 58 56666.8 0.17647E-04 0.58808E-03 0.054059 0.345835E-06 0.997492 0.211101E-02 - 59 58703.7 0.17035E-04 0.86326E-06 0.000079 0.745223E-12 0.997492 0.454891E-08 - 60 60863.8 0.16430E-04 0.17958E-07 0.000002 0.322490E-15 0.997492 0.196851E-11 - 61 64252.1 0.15564E-04 -0.78402E-06 0.000072 0.614682E-12 0.997492 0.375207E-08 - 62 66686.6 0.14996E-04 -0.11343E-05 0.000104 0.128667E-11 0.997493 0.785394E-08 - 63 67946.8 0.14717E-04 0.26145E-06 0.000024 0.683548E-13 0.997493 0.417244E-09 - 64 70993.6 0.14086E-04 0.26443E-04 0.002431 0.699239E-09 0.997497 0.426822E-05 - 65 71222.4 0.14041E-04 0.37130E-03 0.034131 0.137861E-06 0.998397 0.841518E-03 - 66 76710.5 0.13036E-04 0.56857E-06 0.000052 0.323277E-12 0.998397 0.197331E-08 - 67 77329.8 0.12932E-04 0.52783E-07 0.000005 0.278602E-14 0.998397 0.170061E-10 - 68 79166.1 0.12632E-04 -0.17158E-03 0.015773 0.294412E-07 0.998589 0.179712E-03 - 69 80110.4 0.12483E-04 -0.24281E-06 0.000022 0.589553E-13 0.998589 0.359869E-09 - 70 81966.9 0.12200E-04 -0.11027E-05 0.000101 0.121590E-11 0.998589 0.742198E-08 - 71 82527.3 0.12117E-04 0.13147E-06 0.000012 0.172843E-13 0.998589 0.105505E-09 - 72 84346.1 0.11856E-04 0.99270E-06 0.000091 0.985455E-12 0.998589 0.601531E-08 - 73 86792.7 0.11522E-04 0.22996E-06 0.000021 0.528794E-13 0.998589 0.322781E-09 - 74 90243.0 0.11081E-04 -0.50213E-04 0.004616 0.252132E-08 0.998605 0.153904E-04 - 75 90748.0 0.11020E-04 -0.33096E-09 0.000000 0.109535E-18 0.998605 0.668613E-15 - 76 92987.0 0.10754E-04 -0.14908E-05 0.000137 0.222249E-11 0.998605 0.135663E-07 - 77 93497.2 0.10696E-04 -0.12665E-03 0.011642 0.160392E-07 0.998710 0.979048E-04 - 78 95197.0 0.10505E-04 0.26801E-08 0.000000 0.718291E-17 0.998710 0.438451E-13 - 79 97508.6 0.10256E-04 -0.39628E-06 0.000036 0.157034E-12 0.998710 0.958550E-09 - 80 101672. 0.98356E-05 0.42509E-06 0.000039 0.180702E-12 0.998710 0.110302E-08 - 81 103799. 0.96340E-05 -0.11829E-06 0.000011 0.139932E-13 0.998710 0.854157E-10 - 82 104871. 0.95356E-05 0.43545E-07 0.000004 0.189616E-14 0.998710 0.115743E-10 - 83 113265. 0.88288E-05 -0.19235E-03 0.017682 0.369983E-07 0.998951 0.225841E-03 - 84 116646. 0.85729E-05 0.10149E-03 0.009330 0.103008E-07 0.999019 0.628773E-04 - 85 118247. 0.84568E-05 -0.40254E-08 0.000000 0.162040E-16 0.999019 0.989109E-13 - 86 119128. 0.83943E-05 0.49286E-05 0.000453 0.242914E-10 0.999019 0.148277E-06 - 87 121696. 0.82172E-05 -0.49581E-06 0.000046 0.245830E-12 0.999019 0.150057E-08 - 88 125022. 0.79986E-05 -0.46231E-06 0.000042 0.213729E-12 0.999019 0.130462E-08 - 89 131770. 0.75890E-05 -0.17782E-07 0.000002 0.316207E-15 0.999019 0.193016E-11 - 90 134211. 0.74510E-05 -0.31225E-03 0.028704 0.975030E-07 0.999655 0.595167E-03 - 91 136729. 0.73137E-05 -0.34736E-07 0.000003 0.120658E-14 0.999655 0.736510E-11 - 92 142360. 0.70245E-05 -0.14865E-05 0.000137 0.220967E-11 0.999655 0.134880E-07 - 93 143999. 0.69445E-05 0.56078E-08 0.000001 0.314471E-16 0.999655 0.191956E-12 - 94 147910. 0.67609E-05 0.22454E-03 0.020640 0.504161E-07 0.999984 0.307744E-03 - 95 151224. 0.66127E-05 -0.18443E-07 0.000002 0.340153E-15 0.999984 0.207632E-11 - 96 151726. 0.65908E-05 0.78865E-06 0.000072 0.621975E-12 0.999984 0.379659E-08 - 97 155168. 0.64446E-05 -0.48730E-04 0.004479 0.237457E-08 1.00000 0.144946E-04 - 98 156319. 0.63972E-05 0.11669E-08 0.000000 0.136172E-17 1.00000 0.831207E-14 - 99 156850. 0.63755E-05 -0.51892E-06 0.000048 0.269274E-12 1.00000 0.164368E-08 - 100 157002. 0.63693E-05 0.80099E-08 0.000001 0.641586E-16 1.00000 0.391630E-12 - 101 157043. 0.63677E-05 -0.83100E-05 0.000764 0.690566E-10 1.00000 0.421528E-06 - 102 168952. 0.59188E-05 -0.60604E-07 0.000006 0.367287E-14 1.00000 0.224195E-10 - ----------------------------------------------------------------------------------------------------------------- - sum 0.153243E-03 0.935412 - ----------------------------------------------------------------------------------------------------------------- - - - - ***** PARTICIPATION FACTOR CALCULATION ***** Z DIRECTION - CUMULATIVE RATIO EFF.MASS - MODE FREQUENCY PERIOD PARTIC.FACTOR RATIO EFFECTIVE MASS MASS FRACTION TO TOTAL MASS - 1 482.871 0.20709E-02 0.44518E-06 0.000047 0.198182E-12 0.129352E-08 0.120972E-08 - 2 837.265 0.11944E-02 0.95589E-02 1.000000 0.913718E-04 0.596378 0.557742 - 3 1952.12 0.51226E-03 0.40546E-08 0.000000 0.164399E-16 0.596378 0.100351E-12 - 4 3060.02 0.32679E-03 0.27939E-06 0.000029 0.780561E-13 0.596378 0.476461E-09 - 5 3791.36 0.26376E-03 -0.90358E-06 0.000095 0.816465E-12 0.596378 0.498377E-08 - 6 3913.45 0.25553E-03 -0.64415E-02 0.673874 0.414925E-04 0.867197 0.253274 - 7 4394.08 0.22758E-03 -0.50453E-06 0.000053 0.254549E-12 0.867197 0.155379E-08 - 8 4882.15 0.20483E-03 -0.21047E-02 0.220179 0.442958E-05 0.896108 0.270385E-01 - 9 6948.41 0.14392E-03 -0.20808E-06 0.000022 0.432967E-13 0.896108 0.264287E-09 - 10 8005.86 0.12491E-03 0.86882E-07 0.000009 0.754853E-14 0.896108 0.460769E-10 - 11 9129.34 0.10954E-03 0.13624E-02 0.142526 0.185609E-05 0.908223 0.113298E-01 - 12 9542.32 0.10480E-03 -0.13620E-06 0.000014 0.185505E-13 0.908223 0.113234E-09 - 13 9567.01 0.10453E-03 -0.20410E-06 0.000021 0.416569E-13 0.908223 0.254277E-09 - 14 10144.8 0.98572E-04 -0.20460E-06 0.000021 0.418611E-13 0.908223 0.255524E-09 - 15 11064.0 0.90383E-04 0.58468E-07 0.000006 0.341848E-14 0.908223 0.208667E-10 - 16 12564.4 0.79590E-04 0.11803E-02 0.123474 0.139304E-05 0.917315 0.850322E-02 - 17 12804.8 0.78096E-04 0.88308E-07 0.000009 0.779838E-14 0.917315 0.476020E-10 - 18 13646.8 0.73277E-04 0.98039E-07 0.000010 0.961173E-14 0.917315 0.586708E-10 - 19 14240.6 0.70222E-04 0.39531E-03 0.041355 0.156267E-06 0.918335 0.953871E-03 - 20 14686.9 0.68088E-04 0.34232E-06 0.000036 0.117180E-12 0.918335 0.715275E-09 - 21 16171.1 0.61839E-04 -0.38403E-06 0.000040 0.147479E-12 0.918335 0.900226E-09 - 22 16746.4 0.59714E-04 0.28891E-05 0.000302 0.834717E-11 0.918335 0.509519E-07 - 23 16810.5 0.59487E-04 0.18738E-02 0.196026 0.351106E-05 0.941251 0.214318E-01 - 24 19020.2 0.52576E-04 -0.26971E-03 0.028216 0.727453E-07 0.941726 0.444044E-03 - 25 19555.9 0.51135E-04 -0.66635E-07 0.000007 0.444016E-14 0.941726 0.271031E-10 - 26 20120.5 0.49701E-04 0.20632E-06 0.000022 0.425696E-13 0.941726 0.259849E-09 - 27 21170.0 0.47237E-04 0.61502E-07 0.000006 0.378244E-14 0.941726 0.230883E-10 - 28 21462.0 0.46594E-04 -0.33812E-07 0.000004 0.114324E-14 0.941726 0.697842E-11 - 29 23634.5 0.42311E-04 0.13579E-06 0.000014 0.184390E-13 0.941726 0.112553E-09 - 30 23893.2 0.41853E-04 -0.74404E-07 0.000008 0.553600E-14 0.941726 0.337922E-10 - 31 24856.3 0.40231E-04 0.17148E-07 0.000002 0.294050E-15 0.941726 0.179491E-11 - 32 27024.7 0.37003E-04 -0.23573E-02 0.246608 0.555681E-05 0.977995 0.339192E-01 - 33 27531.9 0.36322E-04 -0.16073E-05 0.000168 0.258334E-11 0.977995 0.157689E-07 - 34 28157.9 0.35514E-04 -0.76502E-06 0.000080 0.585252E-12 0.977995 0.357243E-08 - 35 28183.0 0.35482E-04 0.33091E-07 0.000003 0.109503E-14 0.977995 0.668414E-11 - 36 28905.9 0.34595E-04 0.14220E-02 0.148761 0.202205E-05 0.991193 0.123428E-01 - 37 31222.7 0.32028E-04 0.27522E-03 0.028792 0.757473E-07 0.991687 0.462368E-03 - 38 31537.1 0.31709E-04 -0.87860E-08 0.000001 0.771945E-16 0.991687 0.471202E-12 - 39 32812.4 0.30476E-04 0.18266E-07 0.000002 0.333630E-15 0.991687 0.203651E-11 - 40 33240.2 0.30084E-04 -0.14120E-06 0.000015 0.199376E-13 0.991687 0.121701E-09 - 41 33554.5 0.29802E-04 0.46189E-05 0.000483 0.213345E-10 0.991688 0.130228E-06 - 42 35719.5 0.27996E-04 -0.76546E-06 0.000080 0.585924E-12 0.991688 0.357654E-08 - 43 37256.2 0.26841E-04 -0.95648E-03 0.100062 0.914859E-06 0.997659 0.558438E-02 - 44 38450.9 0.26007E-04 -0.72746E-04 0.007610 0.529197E-08 0.997693 0.323027E-04 - 45 38712.8 0.25831E-04 -0.26694E-06 0.000028 0.712582E-13 0.997693 0.434966E-09 - 46 39956.1 0.25027E-04 0.60275E-07 0.000006 0.363311E-14 0.997693 0.221768E-10 - 47 41810.9 0.23917E-04 0.35992E-07 0.000004 0.129544E-14 0.997693 0.790749E-11 - 48 42404.7 0.23582E-04 0.81219E-07 0.000008 0.659647E-14 0.997693 0.402654E-10 - 49 42877.3 0.23322E-04 -0.17953E-06 0.000019 0.322305E-13 0.997693 0.196738E-09 - 50 44810.3 0.22316E-04 -0.70500E-07 0.000007 0.497027E-14 0.997693 0.303390E-10 - 51 46402.0 0.21551E-04 0.71139E-08 0.000001 0.506070E-16 0.997693 0.308910E-12 - 52 46997.9 0.21278E-04 0.66884E-07 0.000007 0.447342E-14 0.997693 0.273062E-10 - 53 49255.1 0.20302E-04 0.60330E-07 0.000006 0.363966E-14 0.997693 0.222168E-10 - 54 52017.1 0.19224E-04 0.25947E-03 0.027145 0.673256E-07 0.998133 0.410962E-03 - 55 53564.5 0.18669E-04 0.79567E-07 0.000008 0.633089E-14 0.998133 0.386443E-10 - 56 54563.9 0.18327E-04 -0.26146E-03 0.027353 0.683613E-07 0.998579 0.417284E-03 - 57 55003.9 0.18181E-04 -0.17680E-05 0.000185 0.312589E-11 0.998579 0.190807E-07 - 58 56666.8 0.17647E-04 -0.25542E-06 0.000027 0.652406E-13 0.998579 0.398234E-09 - 59 58703.7 0.17035E-04 -0.43887E-07 0.000005 0.192607E-14 0.998579 0.117569E-10 - 60 60863.8 0.16430E-04 0.10706E-03 0.011200 0.114612E-07 0.998654 0.699605E-04 - 61 64252.1 0.15564E-04 0.10001E-06 0.000010 0.100021E-13 0.998654 0.610538E-10 - 62 66686.6 0.14996E-04 -0.36826E-07 0.000004 0.135618E-14 0.998654 0.827827E-11 - 63 67946.8 0.14717E-04 -0.12074E-06 0.000013 0.145773E-13 0.998654 0.889815E-10 - 64 70993.6 0.14086E-04 0.11349E-06 0.000012 0.128791E-13 0.998654 0.786151E-10 - 65 71222.4 0.14041E-04 -0.86610E-07 0.000009 0.750136E-14 0.998654 0.457890E-10 - 66 76710.5 0.13036E-04 -0.96302E-06 0.000101 0.927414E-12 0.998654 0.566102E-08 - 67 77329.8 0.12932E-04 0.28205E-03 0.029506 0.795509E-07 0.999173 0.485586E-03 - 68 79166.1 0.12632E-04 0.48173E-07 0.000005 0.232067E-14 0.999173 0.141656E-10 - 69 80110.4 0.12483E-04 0.74179E-04 0.007760 0.550255E-08 0.999209 0.335881E-04 - 70 81966.9 0.12200E-04 0.43891E-07 0.000005 0.192644E-14 0.999209 0.117592E-10 - 71 82527.3 0.12117E-04 0.32182E-07 0.000003 0.103566E-14 0.999209 0.632176E-11 - 72 84346.1 0.11856E-04 -0.39355E-07 0.000004 0.154884E-14 0.999209 0.945426E-11 - 73 86792.7 0.11522E-04 0.56033E-07 0.000006 0.313970E-14 0.999209 0.191650E-10 - 74 90243.0 0.11081E-04 0.25627E-08 0.000000 0.656746E-17 0.999209 0.400883E-13 - 75 90748.0 0.11020E-04 0.45568E-04 0.004767 0.207644E-08 0.999222 0.126748E-04 - 76 92987.0 0.10754E-04 -0.34855E-07 0.000004 0.121486E-14 0.999222 0.741559E-11 - 77 93497.2 0.10696E-04 -0.13456E-07 0.000001 0.181069E-15 0.999222 0.110526E-11 - 78 95197.0 0.10505E-04 -0.98156E-04 0.010269 0.963453E-08 0.999285 0.588100E-04 - 79 97508.6 0.10256E-04 0.11340E-08 0.000000 0.128587E-17 0.999285 0.784907E-14 - 80 101672. 0.98356E-05 -0.13243E-07 0.000001 0.175387E-15 0.999285 0.107058E-11 - 81 103799. 0.96340E-05 -0.75389E-04 0.007887 0.568348E-08 0.999322 0.346925E-04 - 82 104871. 0.95356E-05 0.54135E-07 0.000006 0.293059E-14 0.999322 0.178886E-10 - 83 113265. 0.88288E-05 -0.10674E-06 0.000011 0.113939E-13 0.999322 0.695495E-10 - 84 116646. 0.85729E-05 0.30200E-06 0.000032 0.912037E-13 0.999322 0.556716E-09 - 85 118247. 0.84568E-05 0.11832E-04 0.001238 0.139990E-09 0.999323 0.854510E-06 - 86 119128. 0.83943E-05 -0.89101E-06 0.000093 0.793898E-12 0.999323 0.484603E-08 - 87 121696. 0.82172E-05 -0.31773E-03 0.033239 0.100953E-06 0.999982 0.616228E-03 - 88 125022. 0.79986E-05 0.13263E-06 0.000014 0.175914E-13 0.999982 0.107380E-09 - 89 131770. 0.75890E-05 -0.14520E-06 0.000015 0.210833E-13 0.999982 0.128694E-09 - 90 134211. 0.74510E-05 0.32270E-06 0.000034 0.104136E-12 0.999982 0.635657E-09 - 91 136729. 0.73137E-05 0.37776E-08 0.000000 0.142704E-16 0.999982 0.871079E-13 - 92 142360. 0.70245E-05 0.97037E-07 0.000010 0.941625E-14 0.999982 0.574776E-10 - 93 143999. 0.69445E-05 -0.43811E-04 0.004583 0.191938E-08 0.999995 0.117161E-04 - 94 147910. 0.67609E-05 -0.20234E-06 0.000021 0.409425E-13 0.999995 0.249917E-09 - 95 151224. 0.66127E-05 -0.40674E-07 0.000004 0.165435E-14 0.999995 0.100983E-10 - 96 151726. 0.65908E-05 -0.35739E-07 0.000004 0.127728E-14 0.999995 0.779661E-11 - 97 155168. 0.64446E-05 0.78832E-07 0.000008 0.621442E-14 0.999995 0.379334E-10 - 98 156319. 0.63972E-05 0.20980E-07 0.000002 0.440155E-15 0.999995 0.268674E-11 - 99 156850. 0.63755E-05 0.22907E-07 0.000002 0.524721E-15 0.999995 0.320294E-11 - 100 157002. 0.63693E-05 -0.28228E-04 0.002953 0.796834E-09 1.00000 0.486395E-05 - 101 157043. 0.63677E-05 0.11922E-07 0.000001 0.142144E-15 1.00000 0.867659E-12 - 102 168952. 0.59188E-05 0.80217E-09 0.000000 0.643484E-18 1.00000 0.392788E-14 - ----------------------------------------------------------------------------------------------------------------- - sum 0.153211E-03 0.935216 - ----------------------------------------------------------------------------------------------------------------- - - - - ***** PARTICIPATION FACTOR CALCULATION *****ROTX DIRECTION - CUMULATIVE RATIO EFF.MASS - MODE FREQUENCY PERIOD PARTIC.FACTOR RATIO EFFECTIVE MASS MASS FRACTION TO TOTAL MASS - 1 482.871 0.20709E-02 0.51251E-05 0.000041 0.262663E-10 0.840632E-09 0.657937E-09 - 2 837.265 0.11944E-02 0.12502 1.000000 0.156298E-01 0.500219 0.391506 - 3 1952.12 0.51226E-03 -0.39756E-05 0.000032 0.158056E-10 0.500219 0.395911E-09 - 4 3060.02 0.32679E-03 -0.54899E-05 0.000044 0.301395E-10 0.500219 0.754958E-09 - 5 3791.36 0.26376E-03 0.12646E-04 0.000101 0.159925E-09 0.500219 0.400592E-08 - 6 3913.45 0.25553E-03 0.81448E-01 0.651483 0.663375E-02 0.712527 0.166167 - 7 4394.08 0.22758E-03 0.71380E-05 0.000057 0.509507E-10 0.712527 0.127625E-08 - 8 4882.15 0.20483E-03 -0.79767E-03 0.006380 0.636272E-06 0.712548 0.159378E-04 - 9 6948.41 0.14392E-03 0.17066E-05 0.000014 0.291257E-11 0.712548 0.729563E-10 - 10 8005.86 0.12491E-03 0.14111E-05 0.000011 0.199118E-11 0.712548 0.498766E-10 - 11 9129.34 0.10954E-03 -0.30077E-01 0.240582 0.904647E-03 0.741500 0.226603E-01 - 12 9542.32 0.10480E-03 0.16449E-05 0.000013 0.270566E-11 0.741500 0.677734E-10 - 13 9567.01 0.10453E-03 0.28024E-05 0.000022 0.785372E-11 0.741500 0.196726E-09 - 14 10144.8 0.98572E-04 0.37087E-05 0.000030 0.137547E-10 0.741500 0.344537E-09 - 15 11064.0 0.90383E-04 -0.13990E-05 0.000011 0.195708E-11 0.741500 0.490225E-10 - 16 12564.4 0.79590E-04 -0.31207E-01 0.249618 0.973881E-03 0.772669 0.243945E-01 - 17 12804.8 0.78096E-04 -0.12919E-05 0.000010 0.166894E-11 0.772669 0.418048E-10 - 18 13646.8 0.73277E-04 -0.30618E-05 0.000024 0.937433E-11 0.772669 0.234815E-09 - 19 14240.6 0.70222E-04 -0.12423E-01 0.099368 0.154329E-03 0.777608 0.386575E-02 - 20 14686.9 0.68088E-04 -0.75388E-05 0.000060 0.568339E-10 0.777608 0.142362E-08 - 21 16171.1 0.61839E-04 0.78250E-05 0.000063 0.612302E-10 0.777608 0.153374E-08 - 22 16746.4 0.59714E-04 -0.53865E-04 0.000431 0.290145E-08 0.777608 0.726776E-07 - 23 16810.5 0.59487E-04 -0.35214E-01 0.281667 0.124001E-02 0.817293 0.310606E-01 - 24 19020.2 0.52576E-04 0.27714E-02 0.022168 0.768077E-05 0.817539 0.192394E-03 - 25 19555.9 0.51135E-04 0.56614E-06 0.000005 0.320514E-12 0.817539 0.802848E-11 - 26 20120.5 0.49701E-04 -0.45408E-05 0.000036 0.206187E-10 0.817539 0.516473E-09 - 27 21170.0 0.47237E-04 0.73741E-06 0.000006 0.543774E-12 0.817539 0.136209E-10 - 28 21462.0 0.46594E-04 -0.87632E-06 0.000007 0.767934E-12 0.817539 0.192358E-10 - 29 23634.5 0.42311E-04 -0.39136E-05 0.000031 0.153160E-10 0.817539 0.383648E-09 - 30 23893.2 0.41853E-04 0.55786E-06 0.000004 0.311210E-12 0.817539 0.779542E-11 - 31 24856.3 0.40231E-04 -0.18934E-05 0.000015 0.358490E-11 0.817539 0.897973E-10 - 32 27024.7 0.37003E-04 0.58898E-01 0.471109 0.346893E-02 0.928560 0.868924E-01 - 33 27531.9 0.36322E-04 0.42122E-04 0.000337 0.177425E-08 0.928560 0.444428E-07 - 34 28157.9 0.35514E-04 0.21001E-04 0.000168 0.441038E-09 0.928560 0.110475E-07 - 35 28183.0 0.35482E-04 -0.23874E-06 0.000002 0.569983E-13 0.928560 0.142774E-11 - 36 28905.9 0.34595E-04 -0.38623E-01 0.308935 0.149172E-02 0.976301 0.373657E-01 - 37 31222.7 0.32028E-04 -0.10585E-01 0.084668 0.112044E-03 0.979887 0.280656E-02 - 38 31537.1 0.31709E-04 -0.60428E-06 0.000005 0.365152E-12 0.979887 0.914660E-11 - 39 32812.4 0.30476E-04 -0.16461E-05 0.000013 0.270960E-11 0.979887 0.678722E-10 - 40 33240.2 0.30084E-04 0.12830E-05 0.000010 0.164608E-11 0.979887 0.412321E-10 - 41 33554.5 0.29802E-04 0.17783E-02 0.014224 0.316227E-05 0.979988 0.792109E-04 - 42 35719.5 0.27996E-04 0.16407E-04 0.000131 0.269204E-09 0.979988 0.674322E-08 - 43 37256.2 0.26841E-04 0.20353E-01 0.162802 0.414259E-03 0.993246 0.103767E-01 - 44 38450.9 0.26007E-04 0.18726E-02 0.014979 0.350680E-05 0.993358 0.878411E-04 - 45 38712.8 0.25831E-04 0.51524E-05 0.000041 0.265467E-10 0.993358 0.664963E-09 - 46 39956.1 0.25027E-04 -0.12500E-05 0.000010 0.156246E-11 0.993358 0.391376E-10 - 47 41810.9 0.23917E-04 -0.76189E-06 0.000006 0.580471E-12 0.993358 0.145401E-10 - 48 42404.7 0.23582E-04 -0.15911E-05 0.000013 0.253165E-11 0.993358 0.634146E-10 - 49 42877.3 0.23322E-04 0.43727E-05 0.000035 0.191202E-10 0.993358 0.478937E-09 - 50 44810.3 0.22316E-04 0.17811E-05 0.000014 0.317229E-11 0.993358 0.794619E-10 - 51 46402.0 0.21551E-04 -0.28695E-06 0.000002 0.823380E-13 0.993358 0.206247E-11 - 52 46997.9 0.21278E-04 -0.17666E-05 0.000014 0.312091E-11 0.993358 0.781749E-10 - 53 49255.1 0.20302E-04 -0.15366E-05 0.000012 0.236117E-11 0.993358 0.591443E-10 - 54 52017.1 0.19224E-04 -0.59358E-02 0.047479 0.352338E-04 0.994486 0.882562E-03 - 55 53564.5 0.18669E-04 -0.17795E-05 0.000014 0.316674E-11 0.994486 0.793230E-10 - 56 54563.9 0.18327E-04 0.61785E-02 0.049420 0.381736E-04 0.995708 0.956200E-03 - 57 55003.9 0.18181E-04 0.41165E-04 0.000329 0.169455E-08 0.995708 0.424463E-07 - 58 56666.8 0.17647E-04 0.57305E-05 0.000046 0.328385E-10 0.995708 0.822564E-09 - 59 58703.7 0.17035E-04 0.10218E-05 0.000008 0.104410E-11 0.995708 0.261533E-10 - 60 60863.8 0.16430E-04 -0.27369E-02 0.021892 0.749068E-05 0.995948 0.187632E-03 - 61 64252.1 0.15564E-04 -0.25006E-05 0.000020 0.625280E-11 0.995948 0.156625E-09 - 62 66686.6 0.14996E-04 0.10919E-05 0.000009 0.119219E-11 0.995948 0.298628E-10 - 63 67946.8 0.14717E-04 0.30311E-05 0.000024 0.918759E-11 0.995948 0.230138E-09 - 64 70993.6 0.14086E-04 -0.29540E-05 0.000024 0.872590E-11 0.995948 0.218573E-09 - 65 71222.4 0.14041E-04 0.18848E-05 0.000015 0.355245E-11 0.995948 0.889845E-10 - 66 76710.5 0.13036E-04 0.24626E-04 0.000197 0.606464E-09 0.995948 0.151912E-07 - 67 77329.8 0.12932E-04 -0.72615E-02 0.058083 0.527293E-04 0.997635 0.132080E-02 - 68 79166.1 0.12632E-04 -0.10609E-05 0.000008 0.112554E-11 0.997635 0.281934E-10 - 69 80110.4 0.12483E-04 -0.17629E-02 0.014101 0.310772E-05 0.997735 0.778446E-04 - 70 81966.9 0.12200E-04 -0.11428E-05 0.000009 0.130604E-11 0.997735 0.327146E-10 - 71 82527.3 0.12117E-04 -0.91979E-06 0.000007 0.846018E-12 0.997735 0.211917E-10 - 72 84346.1 0.11856E-04 0.10343E-05 0.000008 0.106969E-11 0.997735 0.267944E-10 - 73 86792.7 0.11522E-04 -0.15537E-05 0.000012 0.241396E-11 0.997735 0.604667E-10 - 74 90243.0 0.11081E-04 -0.70212E-07 0.000001 0.492974E-14 0.997735 0.123484E-12 - 75 90748.0 0.11020E-04 -0.12051E-02 0.009640 0.145239E-05 0.997781 0.363805E-04 - 76 92987.0 0.10754E-04 0.11633E-05 0.000009 0.135337E-11 0.997781 0.339003E-10 - 77 93497.2 0.10696E-04 0.36365E-06 0.000003 0.132242E-12 0.997781 0.331250E-11 - 78 95197.0 0.10505E-04 0.25323E-02 0.020255 0.641254E-05 0.997986 0.160626E-03 - 79 97508.6 0.10256E-04 -0.87807E-07 0.000001 0.771012E-14 0.997986 0.193129E-12 - 80 101672. 0.98356E-05 0.37787E-06 0.000003 0.142785E-12 0.997986 0.357658E-11 - 81 103799. 0.96340E-05 0.18060E-02 0.014446 0.326181E-05 0.998091 0.817043E-04 - 82 104871. 0.95356E-05 -0.13561E-05 0.000011 0.183909E-11 0.998091 0.460669E-10 - 83 113265. 0.88288E-05 0.25341E-05 0.000020 0.642159E-11 0.998091 0.160853E-09 - 84 116646. 0.85729E-05 -0.73372E-05 0.000059 0.538350E-10 0.998091 0.134850E-08 - 85 118247. 0.84568E-05 -0.33192E-03 0.002655 0.110171E-06 0.998094 0.275965E-05 - 86 119128. 0.83943E-05 0.19976E-04 0.000160 0.399029E-09 0.998094 0.999518E-08 - 87 121696. 0.82172E-05 0.75915E-02 0.060722 0.576302E-04 0.999939 0.144356E-02 - 88 125022. 0.79986E-05 -0.32976E-05 0.000026 0.108745E-10 0.999939 0.272392E-09 - 89 131770. 0.75890E-05 0.34863E-05 0.000028 0.121544E-10 0.999939 0.304453E-09 - 90 134211. 0.74510E-05 -0.77584E-05 0.000062 0.601928E-10 0.999939 0.150775E-08 - 91 136729. 0.73137E-05 -0.63714E-07 0.000001 0.405942E-14 0.999939 0.101683E-12 - 92 142360. 0.70245E-05 -0.25220E-05 0.000020 0.636068E-11 0.999939 0.159327E-09 - 93 143999. 0.69445E-05 0.11673E-02 0.009337 0.136259E-05 0.999982 0.341311E-04 - 94 147910. 0.67609E-05 0.48552E-05 0.000039 0.235732E-10 0.999982 0.590478E-09 - 95 151224. 0.66127E-05 0.96470E-06 0.000008 0.930639E-12 0.999982 0.233114E-10 - 96 151726. 0.65908E-05 0.92368E-06 0.000007 0.853186E-12 0.999982 0.213713E-10 - 97 155168. 0.64446E-05 -0.18273E-05 0.000015 0.333903E-11 0.999982 0.836384E-10 - 98 156319. 0.63972E-05 -0.50317E-06 0.000004 0.253180E-12 0.999982 0.634184E-11 - 99 156850. 0.63755E-05 -0.60006E-06 0.000005 0.360070E-12 0.999982 0.901930E-11 - 100 157002. 0.63693E-05 0.74320E-03 0.005945 0.552342E-06 1.00000 0.138355E-04 - 101 157043. 0.63677E-05 -0.23893E-06 0.000002 0.570893E-13 1.00000 0.143002E-11 - 102 168952. 0.59188E-05 -0.33104E-07 0.000000 0.109588E-14 1.00000 0.274504E-13 - ----------------------------------------------------------------------------------------------------------------- - sum 0.312459E-01 0.782670 - ----------------------------------------------------------------------------------------------------------------- - - - - ***** PARTICIPATION FACTOR CALCULATION *****ROTY DIRECTION - CUMULATIVE RATIO EFF.MASS - MODE FREQUENCY PERIOD PARTIC.FACTOR RATIO EFFECTIVE MASS MASS FRACTION TO TOTAL MASS - 1 482.871 0.20709E-02 0.37375E-05 0.000012 0.139692E-10 0.149746E-09 0.149269E-09 - 2 837.265 0.11944E-02 -0.33006E-05 0.000011 0.108942E-10 0.266530E-09 0.116411E-09 - 3 1952.12 0.51226E-03 0.11612E-04 0.000039 0.134845E-09 0.171204E-08 0.144090E-08 - 4 3060.02 0.32679E-03 -0.30017 1.000000 0.901010E-01 0.965860 0.962782 - 5 3791.36 0.26376E-03 0.22169E-04 0.000074 0.491481E-09 0.965860 0.525176E-08 - 6 3913.45 0.25553E-03 -0.14437E-04 0.000048 0.208428E-09 0.965860 0.222717E-08 - 7 4394.08 0.22758E-03 -0.46014E-05 0.000015 0.211727E-10 0.965860 0.226243E-09 - 8 4882.15 0.20483E-03 -0.78236E-05 0.000026 0.612094E-10 0.965860 0.654058E-09 - 9 6948.41 0.14392E-03 -0.49827E-05 0.000017 0.248272E-10 0.965860 0.265293E-09 - 10 8005.86 0.12491E-03 0.75338E-05 0.000025 0.567579E-10 0.965860 0.606491E-09 - 11 9129.34 0.10954E-03 0.12693E-04 0.000042 0.161117E-09 0.965860 0.172163E-08 - 12 9542.32 0.10480E-03 0.22276E-05 0.000007 0.496216E-11 0.965860 0.530236E-10 - 13 9567.01 0.10453E-03 0.12959E-04 0.000043 0.167944E-09 0.965860 0.179458E-08 - 14 10144.8 0.98572E-04 0.42782E-01 0.142526 0.183028E-02 0.985480 0.195576E-01 - 15 11064.0 0.90383E-04 0.21175E-01 0.070543 0.448371E-03 0.990287 0.479110E-02 - 16 12564.4 0.79590E-04 -0.10321E-04 0.000034 0.106525E-09 0.990287 0.113829E-08 - 17 12804.8 0.78096E-04 -0.21458E-05 0.000007 0.460454E-11 0.990287 0.492022E-10 - 18 13646.8 0.73277E-04 -0.14016E-05 0.000005 0.196461E-11 0.990287 0.209930E-10 - 19 14240.6 0.70222E-04 0.37559E-06 0.000001 0.141065E-12 0.990287 0.150736E-11 - 20 14686.9 0.68088E-04 -0.42418E-02 0.014131 0.179930E-04 0.990480 0.192266E-03 - 21 16171.1 0.61839E-04 -0.15442E-05 0.000005 0.238452E-11 0.990480 0.254799E-10 - 22 16746.4 0.59714E-04 -0.13264E-01 0.044190 0.175942E-03 0.992366 0.188005E-02 - 23 16810.5 0.59487E-04 0.24962E-04 0.000083 0.623079E-09 0.992366 0.665796E-08 - 24 19020.2 0.52576E-04 -0.18966E-05 0.000006 0.359722E-11 0.992366 0.384384E-10 - 25 19555.9 0.51135E-04 -0.81675E-06 0.000003 0.667084E-12 0.992366 0.712818E-11 - 26 20120.5 0.49701E-04 0.52116E-02 0.017362 0.271603E-04 0.992657 0.290223E-03 - 27 21170.0 0.47237E-04 0.20916E-05 0.000007 0.437458E-11 0.992657 0.467450E-10 - 28 21462.0 0.46594E-04 -0.72320E-06 0.000002 0.523015E-12 0.992657 0.558871E-11 - 29 23634.5 0.42311E-04 -0.13604E-01 0.045322 0.185075E-03 0.994641 0.197763E-02 - 30 23893.2 0.41853E-04 -0.20978E-04 0.000070 0.440067E-09 0.994641 0.470237E-08 - 31 24856.3 0.40231E-04 -0.64111E-05 0.000021 0.411019E-10 0.994641 0.439198E-09 - 32 27024.7 0.37003E-04 0.79728E-05 0.000027 0.635651E-10 0.994641 0.679230E-09 - 33 27531.9 0.36322E-04 -0.19893E-01 0.066273 0.395732E-03 0.998883 0.422863E-02 - 34 28157.9 0.35514E-04 -0.93273E-02 0.031074 0.869992E-04 0.999816 0.929637E-03 - 35 28183.0 0.35482E-04 0.56896E-05 0.000019 0.323719E-10 0.999816 0.345913E-09 - 36 28905.9 0.34595E-04 -0.14366E-04 0.000048 0.206392E-09 0.999816 0.220542E-08 - 37 31222.7 0.32028E-04 -0.26071E-05 0.000009 0.679715E-11 0.999816 0.726315E-10 - 38 31537.1 0.31709E-04 -0.46718E-06 0.000002 0.218259E-12 0.999816 0.233222E-11 - 39 32812.4 0.30476E-04 0.54722E-06 0.000002 0.299448E-12 0.999816 0.319978E-11 - 40 33240.2 0.30084E-04 -0.45027E-03 0.001500 0.202742E-06 0.999818 0.216642E-05 - 41 33554.5 0.29802E-04 -0.10239E-05 0.000003 0.104837E-11 0.999818 0.112025E-10 - 42 35719.5 0.27996E-04 -0.33496E-05 0.000011 0.112197E-10 0.999818 0.119889E-09 - 43 37256.2 0.26841E-04 -0.22530E-05 0.000008 0.507615E-11 0.999818 0.542416E-10 - 44 38450.9 0.26007E-04 -0.69947E-05 0.000023 0.489258E-10 0.999818 0.522801E-09 - 45 38712.8 0.25831E-04 -0.24613E-02 0.008200 0.605794E-05 0.999883 0.647326E-04 - 46 39956.1 0.25027E-04 0.27462E-06 0.000001 0.754177E-13 0.999883 0.805882E-12 - 47 41810.9 0.23917E-04 -0.13468E-06 0.000000 0.181389E-13 0.999883 0.193825E-12 - 48 42404.7 0.23582E-04 -0.14579E-05 0.000005 0.212534E-11 0.999883 0.227105E-10 - 49 42877.3 0.23322E-04 -0.10552E-02 0.003515 0.111351E-05 0.999895 0.118985E-04 - 50 44810.3 0.22316E-04 0.30497E-06 0.000001 0.930042E-13 0.999895 0.993804E-12 - 51 46402.0 0.21551E-04 -0.18908E-06 0.000001 0.357515E-13 0.999895 0.382026E-12 - 52 46997.9 0.21278E-04 0.44462E-06 0.000001 0.197687E-12 0.999895 0.211240E-11 - 53 49255.1 0.20302E-04 -0.12907E-02 0.004300 0.166588E-05 0.999913 0.178008E-04 - 54 52017.1 0.19224E-04 0.18951E-07 0.000000 0.359144E-15 0.999913 0.383766E-14 - 55 53564.5 0.18669E-04 0.10753E-05 0.000004 0.115630E-11 0.999913 0.123558E-10 - 56 54563.9 0.18327E-04 -0.71033E-06 0.000002 0.504571E-12 0.999913 0.539164E-11 - 57 55003.9 0.18181E-04 -0.45740E-05 0.000015 0.209217E-10 0.999913 0.223561E-09 - 58 56666.8 0.17647E-04 -0.76137E-06 0.000003 0.579677E-12 0.999913 0.619419E-11 - 59 58703.7 0.17035E-04 -0.21998E-06 0.000001 0.483908E-13 0.999913 0.517083E-12 - 60 60863.8 0.16430E-04 -0.53327E-06 0.000002 0.284372E-12 0.999913 0.303868E-11 - 61 64252.1 0.15564E-04 0.10727E-05 0.000004 0.115067E-11 0.999913 0.122956E-10 - 62 66686.6 0.14996E-04 -0.18472E-05 0.000006 0.341211E-11 0.999913 0.364603E-10 - 63 67946.8 0.14717E-04 0.17555E-02 0.005848 0.308170E-05 0.999946 0.329298E-04 - 64 70993.6 0.14086E-04 0.34903E-06 0.000001 0.121822E-12 0.999946 0.130174E-11 - 65 71222.4 0.14041E-04 -0.15601E-05 0.000005 0.243396E-11 0.999946 0.260083E-10 - 66 76710.5 0.13036E-04 -0.79210E-03 0.002639 0.627425E-06 0.999952 0.670440E-05 - 67 77329.8 0.12932E-04 -0.28852E-05 0.000010 0.832430E-11 0.999952 0.889500E-10 - 68 79166.1 0.12632E-04 0.24367E-05 0.000008 0.593742E-11 0.999952 0.634448E-10 - 69 80110.4 0.12483E-04 0.70159E-06 0.000002 0.492232E-12 0.999952 0.525978E-11 - 70 81966.9 0.12200E-04 0.68104E-06 0.000002 0.463810E-12 0.999952 0.495608E-11 - 71 82527.3 0.12117E-04 -0.96419E-03 0.003212 0.929659E-06 0.999962 0.993394E-05 - 72 84346.1 0.11856E-04 -0.48073E-06 0.000002 0.231104E-12 0.999962 0.246948E-11 - 73 86792.7 0.11522E-04 -0.14976E-02 0.004989 0.224266E-05 0.999986 0.239641E-04 - 74 90243.0 0.11081E-04 0.48708E-07 0.000000 0.237243E-14 0.999986 0.253508E-13 - 75 90748.0 0.11020E-04 0.37380E-06 0.000001 0.139724E-12 0.999986 0.149303E-11 - 76 92987.0 0.10754E-04 0.19928E-03 0.000664 0.397122E-07 0.999987 0.424348E-06 - 77 93497.2 0.10696E-04 0.81843E-07 0.000000 0.669822E-14 0.999987 0.715744E-13 - 78 95197.0 0.10505E-04 0.23664E-06 0.000001 0.559995E-13 0.999987 0.598388E-12 - 79 97508.6 0.10256E-04 -0.30586E-06 0.000001 0.935494E-13 0.999987 0.999630E-12 - 80 101672. 0.98356E-05 -0.37304E-06 0.000001 0.139159E-12 0.999987 0.148699E-11 - 81 103799. 0.96340E-05 -0.83211E-06 0.000003 0.692400E-12 0.999987 0.739869E-11 - 82 104871. 0.95356E-05 -0.28307E-03 0.000943 0.801266E-07 0.999988 0.856200E-06 - 83 113265. 0.88288E-05 0.57036E-06 0.000002 0.325314E-12 0.999988 0.347617E-11 - 84 116646. 0.85729E-05 -0.12727E-04 0.000042 0.161974E-09 0.999988 0.173078E-08 - 85 118247. 0.84568E-05 0.36402E-05 0.000012 0.132508E-10 0.999988 0.141593E-09 - 86 119128. 0.83943E-05 -0.10418E-02 0.003471 0.108538E-05 0.999999 0.115979E-04 - 87 121696. 0.82172E-05 0.18525E-06 0.000001 0.343177E-13 0.999999 0.366704E-12 - 88 125022. 0.79986E-05 -0.25747E-06 0.000001 0.662902E-13 0.999999 0.708350E-12 - 89 131770. 0.75890E-05 -0.10321E-03 0.000344 0.106525E-07 0.999999 0.113828E-06 - 90 134211. 0.74510E-05 0.17445E-06 0.000001 0.304335E-13 0.999999 0.325200E-12 - 91 136729. 0.73137E-05 -0.80026E-07 0.000000 0.640413E-14 0.999999 0.684319E-13 - 92 142360. 0.70245E-05 0.26860E-06 0.000001 0.721468E-13 0.999999 0.770931E-12 - 93 143999. 0.69445E-05 0.23381E-07 0.000000 0.546690E-15 0.999999 0.584170E-14 - 94 147910. 0.67609E-05 -0.22352E-06 0.000001 0.499602E-13 0.999999 0.533854E-12 - 95 151224. 0.66127E-05 -0.23979E-03 0.000799 0.575004E-07 1.00000 0.614426E-06 - 96 151726. 0.65908E-05 -0.40739E-07 0.000000 0.165969E-14 1.00000 0.177347E-13 - 97 155168. 0.64446E-05 -0.33364E-06 0.000001 0.111317E-12 1.00000 0.118948E-11 - 98 156319. 0.63972E-05 0.26898E-04 0.000090 0.723505E-09 1.00000 0.773108E-08 - 99 156850. 0.63755E-05 0.83552E-07 0.000000 0.698095E-14 1.00000 0.745955E-13 - 100 157002. 0.63693E-05 0.19981E-07 0.000000 0.399222E-15 1.00000 0.426592E-14 - 101 157043. 0.63677E-05 0.39233E-07 0.000000 0.153922E-14 1.00000 0.164475E-13 - 102 168952. 0.59188E-05 -0.22411E-08 0.000000 0.502236E-17 1.00000 0.536668E-16 - ----------------------------------------------------------------------------------------------------------------- - sum 0.932858E-01 0.996813 - ----------------------------------------------------------------------------------------------------------------- - - - - ***** PARTICIPATION FACTOR CALCULATION *****ROTZ DIRECTION - CUMULATIVE RATIO EFF.MASS - MODE FREQUENCY PERIOD PARTIC.FACTOR RATIO EFFECTIVE MASS MASS FRACTION TO TOTAL MASS - 1 482.871 0.20709E-02 -0.23731 1.000000 0.563177E-01 0.476254 0.449410 - 2 837.265 0.11944E-02 0.92834E-05 0.000039 0.861809E-10 0.476254 0.687716E-09 - 3 1952.12 0.51226E-03 0.56034E-05 0.000024 0.313985E-10 0.476254 0.250557E-09 - 4 3060.02 0.32679E-03 0.92591E-05 0.000039 0.857302E-10 0.476254 0.684120E-09 - 5 3791.36 0.26376E-03 0.12806 0.539619 0.163990E-01 0.614933 0.130863 - 6 3913.45 0.25553E-03 -0.17267E-04 0.000073 0.298156E-09 0.614933 0.237926E-08 - 7 4394.08 0.22758E-03 0.23048E-04 0.000097 0.531203E-09 0.614933 0.423896E-08 - 8 4882.15 0.20483E-03 0.53258E-06 0.000002 0.283639E-12 0.614933 0.226342E-11 - 9 6948.41 0.14392E-03 -0.66988E-01 0.282276 0.448738E-02 0.652881 0.358089E-01 - 10 8005.86 0.12491E-03 -0.18384E-04 0.000077 0.337961E-09 0.652881 0.269690E-08 - 11 9129.34 0.10954E-03 0.10209E-05 0.000004 0.104230E-11 0.652881 0.831747E-11 - 12 9542.32 0.10480E-03 0.43004E-01 0.181210 0.184930E-02 0.668520 0.147573E-01 - 13 9567.01 0.10453E-03 -0.88894E-03 0.003746 0.790223E-06 0.668527 0.630591E-05 - 14 10144.8 0.98572E-04 -0.55276E-05 0.000023 0.305548E-10 0.668527 0.243825E-09 - 15 11064.0 0.90383E-04 -0.82447E-06 0.000003 0.679752E-12 0.668527 0.542436E-11 - 16 12564.4 0.79590E-04 0.45112E-05 0.000019 0.203512E-10 0.668527 0.162401E-09 - 17 12804.8 0.78096E-04 0.36724E-04 0.000155 0.134869E-08 0.668527 0.107624E-07 - 18 13646.8 0.73277E-04 -0.14338 0.604173 0.205574E-01 0.842371 0.164046 - 19 14240.6 0.70222E-04 0.22716E-04 0.000096 0.515996E-09 0.842371 0.411760E-08 - 20 14686.9 0.68088E-04 0.83049E-05 0.000035 0.689707E-10 0.842371 0.550380E-09 - 21 16171.1 0.61839E-04 0.60560E-01 0.255192 0.366756E-02 0.873386 0.292668E-01 - 22 16746.4 0.59714E-04 -0.12419E-04 0.000052 0.154237E-09 0.873386 0.123079E-08 - 23 16810.5 0.59487E-04 0.10867E-04 0.000046 0.118089E-09 0.873386 0.942338E-09 - 24 19020.2 0.52576E-04 -0.56415E-06 0.000002 0.318266E-12 0.873386 0.253974E-11 - 25 19555.9 0.51135E-04 0.40758E-02 0.017175 0.166120E-04 0.873527 0.132562E-03 - 26 20120.5 0.49701E-04 -0.47016E-06 0.000002 0.221054E-12 0.873527 0.176399E-11 - 27 21170.0 0.47237E-04 0.28188E-06 0.000001 0.794588E-13 0.873527 0.634074E-12 - 28 21462.0 0.46594E-04 -0.12256E-04 0.000052 0.150202E-09 0.873527 0.119860E-08 - 29 23634.5 0.42311E-04 0.82729E-04 0.000349 0.684404E-08 0.873527 0.546149E-07 - 30 23893.2 0.41853E-04 -0.61206E-01 0.257910 0.374612E-02 0.905206 0.298938E-01 - 31 24856.3 0.40231E-04 0.10747E-03 0.000453 0.115501E-07 0.905206 0.921686E-07 - 32 27024.7 0.37003E-04 0.33035E-05 0.000014 0.109134E-10 0.905206 0.870880E-10 - 33 27531.9 0.36322E-04 -0.37022E-05 0.000016 0.137063E-10 0.905206 0.109375E-09 - 34 28157.9 0.35514E-04 0.44775E-04 0.000189 0.200482E-08 0.905206 0.159983E-07 - 35 28183.0 0.35482E-04 0.83241E-01 0.350764 0.692907E-02 0.963802 0.552934E-01 - 36 28905.9 0.34595E-04 0.89372E-05 0.000038 0.798741E-10 0.963802 0.637389E-09 - 37 31222.7 0.32028E-04 -0.66699E-06 0.000003 0.444877E-12 0.963802 0.355008E-11 - 38 31537.1 0.31709E-04 0.32045E-04 0.000135 0.102689E-08 0.963802 0.819448E-08 - 39 32812.4 0.30476E-04 -0.38695E-01 0.163055 0.149731E-02 0.976464 0.119484E-01 - 40 33240.2 0.30084E-04 -0.14397E-04 0.000061 0.207286E-09 0.976464 0.165413E-08 - 41 33554.5 0.29802E-04 -0.15516E-04 0.000065 0.240741E-09 0.976464 0.192110E-08 - 42 35719.5 0.27996E-04 -0.11465E-04 0.000048 0.131449E-09 0.976464 0.104895E-08 - 43 37256.2 0.26841E-04 -0.32795E-06 0.000001 0.107553E-12 0.976464 0.858263E-12 - 44 38450.9 0.26007E-04 -0.14081E-05 0.000006 0.198285E-11 0.976464 0.158230E-10 - 45 38712.8 0.25831E-04 -0.99443E-05 0.000042 0.988882E-10 0.976464 0.789119E-09 - 46 39956.1 0.25027E-04 0.20057E-04 0.000085 0.402291E-09 0.976465 0.321024E-08 - 47 41810.9 0.23917E-04 0.25377E-01 0.106933 0.643972E-03 0.981910 0.513884E-02 - 48 42404.7 0.23582E-04 0.11236E-04 0.000047 0.126256E-09 0.981910 0.100751E-08 - 49 42877.3 0.23322E-04 0.19495E-04 0.000082 0.380045E-09 0.981910 0.303273E-08 - 50 44810.3 0.22316E-04 0.32650E-01 0.137584 0.106605E-02 0.990925 0.850702E-02 - 51 46402.0 0.21551E-04 -0.22456E-02 0.009463 0.504263E-05 0.990968 0.402397E-04 - 52 46997.9 0.21278E-04 0.43579E-02 0.018363 0.189912E-04 0.991129 0.151548E-03 - 53 49255.1 0.20302E-04 0.22364E-05 0.000009 0.500135E-11 0.991129 0.399103E-10 - 54 52017.1 0.19224E-04 -0.42927E-06 0.000002 0.184276E-12 0.991129 0.147051E-11 - 55 53564.5 0.18669E-04 0.19924E-02 0.008396 0.396975E-05 0.991162 0.316782E-04 - 56 54563.9 0.18327E-04 -0.10541E-06 0.000000 0.111103E-13 0.991162 0.886589E-13 - 57 55003.9 0.18181E-04 0.38020E-05 0.000016 0.144554E-10 0.991162 0.115353E-09 - 58 56666.8 0.17647E-04 0.33987E-04 0.000143 0.115510E-08 0.991162 0.921760E-08 - 59 58703.7 0.17035E-04 -0.20101E-02 0.008470 0.404048E-05 0.991196 0.322427E-04 - 60 60863.8 0.16430E-04 -0.70070E-07 0.000000 0.490987E-14 0.991196 0.391803E-13 - 61 64252.1 0.15564E-04 0.52057E-02 0.021936 0.270996E-04 0.991426 0.216252E-03 - 62 66686.6 0.14996E-04 0.61195E-06 0.000003 0.374485E-12 0.991426 0.298836E-11 - 63 67946.8 0.14717E-04 0.18343E-05 0.000008 0.336450E-11 0.991426 0.268485E-10 - 64 70993.6 0.14086E-04 0.15474E-01 0.065205 0.239443E-03 0.993450 0.191074E-02 - 65 71222.4 0.14041E-04 -0.11898E-02 0.005014 0.141573E-05 0.993462 0.112974E-04 - 66 76710.5 0.13036E-04 -0.10856E-05 0.000005 0.117858E-11 0.993462 0.940495E-11 - 67 77329.8 0.12932E-04 -0.14372E-05 0.000006 0.206565E-11 0.993462 0.164837E-10 - 68 79166.1 0.12632E-04 -0.43882E-05 0.000018 0.192565E-10 0.993462 0.153666E-09 - 69 80110.4 0.12483E-04 -0.48924E-06 0.000002 0.239352E-12 0.993462 0.191001E-11 - 70 81966.9 0.12200E-04 0.38667E-02 0.016294 0.149517E-04 0.993589 0.119313E-03 - 71 82527.3 0.12117E-04 0.65960E-08 0.000000 0.435066E-16 0.993589 0.347179E-15 - 72 84346.1 0.11856E-04 -0.65471E-02 0.027589 0.428649E-04 0.993951 0.342058E-03 - 73 86792.7 0.11522E-04 0.49441E-06 0.000002 0.244439E-12 0.993951 0.195060E-11 - 74 90243.0 0.11081E-04 -0.35851E-05 0.000015 0.128528E-10 0.993951 0.102564E-09 - 75 90748.0 0.11020E-04 0.11309E-07 0.000000 0.127902E-15 0.993951 0.102064E-14 - 76 92987.0 0.10754E-04 0.25971E-05 0.000011 0.674480E-11 0.993951 0.538229E-10 - 77 93497.2 0.10696E-04 0.82302E-05 0.000035 0.677363E-10 0.993951 0.540530E-09 - 78 95197.0 0.10505E-04 0.39495E-06 0.000002 0.155987E-12 0.993951 0.124476E-11 - 79 97508.6 0.10256E-04 0.23299E-03 0.000982 0.542866E-07 0.993952 0.433203E-06 - 80 101672. 0.98356E-05 -0.86009E-02 0.036243 0.739762E-04 0.994577 0.590324E-03 - 81 103799. 0.96340E-05 -0.53045E-06 0.000002 0.281380E-12 0.994577 0.224539E-11 - 82 104871. 0.95356E-05 0.16005E-06 0.000001 0.256155E-13 0.994577 0.204410E-12 - 83 113265. 0.88288E-05 -0.78841E-05 0.000033 0.621598E-10 0.994577 0.496030E-09 - 84 116646. 0.85729E-05 0.19660E-05 0.000008 0.386527E-11 0.994577 0.308445E-10 - 85 118247. 0.84568E-05 0.18982E-06 0.000001 0.360317E-13 0.994577 0.287530E-12 - 86 119128. 0.83943E-05 -0.24655E-04 0.000104 0.607877E-09 0.994577 0.485081E-08 - 87 121696. 0.82172E-05 0.49949E-05 0.000021 0.249490E-10 0.994577 0.199091E-09 - 88 125022. 0.79986E-05 0.15521E-01 0.065405 0.240916E-03 0.996615 0.192249E-02 - 89 131770. 0.75890E-05 -0.12428E-06 0.000001 0.154455E-13 0.996615 0.123254E-12 - 90 134211. 0.74510E-05 -0.15027E-04 0.000063 0.225809E-09 0.996615 0.180194E-08 - 91 136729. 0.73137E-05 0.12219E-02 0.005149 0.149294E-05 0.996627 0.119135E-04 - 92 142360. 0.70245E-05 0.19024E-01 0.080165 0.361917E-03 0.999688 0.288807E-02 - 93 143999. 0.69445E-05 -0.44730E-06 0.000002 0.200081E-12 0.999688 0.159663E-11 - 94 147910. 0.67609E-05 -0.56528E-04 0.000238 0.319538E-08 0.999688 0.254989E-07 - 95 151224. 0.66127E-05 -0.37763E-06 0.000002 0.142602E-12 0.999688 0.113795E-11 - 96 151726. 0.65908E-05 -0.41447E-02 0.017465 0.171788E-04 0.999833 0.137086E-03 - 97 155168. 0.64446E-05 -0.29704E-05 0.000013 0.882309E-11 0.999833 0.704075E-10 - 98 156319. 0.63972E-05 0.28209E-07 0.000000 0.795741E-15 0.999833 0.634994E-14 - 99 156850. 0.63755E-05 0.44392E-02 0.018706 0.197062E-04 1.00000 0.157254E-03 - 100 157002. 0.63693E-05 -0.27438E-06 0.000001 0.752823E-13 1.00000 0.600747E-12 - 101 157043. 0.63677E-05 0.10363E-04 0.000044 0.107395E-09 1.00000 0.857003E-09 - 102 168952. 0.59188E-05 -0.11054E-03 0.000466 0.122188E-07 1.00000 0.975050E-07 - ----------------------------------------------------------------------------------------------------------------- - sum 0.118251 0.943636 - ----------------------------------------------------------------------------------------------------------------- - - - - - - *** NOTE *** CP = 2.578 TIME= 15:55:34 - The modes requested are mass normalized (Nrmkey on MODOPT). However, - the modal masses and kinetic energies below are calculated with unit - normalized modes. - - ***** MODAL MASSES, KINETIC ENERGIES, AND TRANSLATIONAL EFFECTIVE MASSES SUMMARY ***** - - EFFECTIVE MASS - MODE FREQUENCY MODAL MASS KENE | X-DIR RATIO% Y-DIR RATIO% Z-DIR RATIO% - 1 482.9 0.7229E-04 332.7 | 0.8884E-04 54.23 0.4374E-13 0.00 0.1982E-12 0.00 - 2 837.3 0.2987E-04 413.3 | 0.1895E-12 0.00 0.4632E-13 0.00 0.9137E-04 55.77 - 3 1952. 0.4889E-04 3678. | 0.4529E-13 0.00 0.1183E-03 72.24 0.1644E-16 0.00 - 4 3060. 0.7641E-04 0.1412E+05 | 0.1799E-12 0.00 0.8131E-13 0.00 0.7806E-13 0.00 - 5 3791. 0.1736E-03 0.4926E+05 | 0.1182E-04 7.21 0.7983E-12 0.00 0.8165E-12 0.00 - 6 3913. 0.5047E-04 0.1526E+05 | 0.1738E-12 0.00 0.5992E-13 0.00 0.4149E-04 25.33 - 7 4394. 0.4617E-04 0.1760E+05 | 0.5754E-12 0.00 0.1811E-04 11.05 0.2545E-12 0.00 - 8 4882. 0.3899E-04 0.1834E+05 | 0.9437E-15 0.00 0.7227E-13 0.00 0.4430E-05 2.70 - 9 6948. 0.1269E-03 0.1210E+06 | 0.2620E-05 1.60 0.3313E-13 0.00 0.4330E-13 0.00 - 10 8006. 0.1006E-03 0.1273E+06 | 0.1179E-11 0.00 0.2829E-05 1.73 0.7549E-14 0.00 - 11 9129. 0.2805E-03 0.4615E+06 | 0.4403E-14 0.00 0.2957E-15 0.00 0.1856E-05 1.13 - 12 9542. 0.9932E-04 0.1785E+06 | 0.5623E-05 3.43 0.1366E-09 0.00 0.1855E-13 0.00 - 13 9567. 0.2415E-03 0.4364E+06 | 0.2431E-08 0.00 0.3654E-06 0.22 0.4166E-13 0.00 - 14 0.1014E+05 0.2572E-03 0.5225E+06 | 0.1184E-12 0.00 0.1832E-13 0.00 0.4186E-13 0.00 - 15 0.1106E+05 0.3324E-04 0.8033E+05 | 0.5180E-14 0.00 0.6887E-15 0.00 0.3418E-14 0.00 - 16 0.1256E+05 0.2739E-03 0.8536E+06 | 0.4291E-13 0.00 0.3998E-14 0.00 0.1393E-05 0.85 - 17 0.1280E+05 0.7150E-04 0.2314E+06 | 0.2186E-11 0.00 0.2524E-07 0.02 0.7798E-14 0.00 - 18 0.1365E+05 0.1002E-03 0.3684E+06 | 0.2505E-04 15.29 0.1039E-14 0.00 0.9612E-14 0.00 - 19 0.1424E+05 0.1113E-02 0.4457E+07 | 0.6759E-12 0.00 0.5776E-14 0.00 0.1563E-06 0.10 - 20 0.1469E+05 0.7893E-02 0.3361E+08 | 0.8988E-13 0.00 0.1148E-14 0.00 0.1172E-12 0.00 - 21 0.1617E+05 0.1135E-03 0.5860E+06 | 0.3761E-05 2.30 0.2212E-15 0.00 0.1475E-12 0.00 - 22 0.1675E+05 0.4697E-02 0.2600E+08 | 0.1538E-12 0.00 0.5322E-14 0.00 0.8347E-11 0.00 - 23 0.1681E+05 0.1512E-03 0.8434E+06 | 0.9784E-13 0.00 0.9654E-13 0.00 0.3511E-05 2.14 - 24 0.1902E+05 0.2948E-04 0.2105E+06 | 0.1078E-14 0.00 0.2377E-13 0.00 0.7275E-07 0.04 - 25 0.1956E+05 0.1668E-03 0.1259E+07 | 0.1644E-06 0.10 0.3105E-13 0.00 0.4440E-14 0.00 - 26 0.2012E+05 0.5939E-03 0.4746E+07 | 0.2807E-14 0.00 0.1247E-12 0.00 0.4257E-13 0.00 - 27 0.2117E+05 0.1291E-03 0.1142E+07 | 0.7128E-15 0.00 0.8350E-05 5.10 0.3782E-14 0.00 - 28 0.2146E+05 0.6235E-04 0.5669E+06 | 0.4558E-13 0.00 0.2261E-05 1.38 0.1143E-14 0.00 - 29 0.2363E+05 0.5563E-03 0.6134E+07 | 0.5143E-11 0.00 0.8199E-14 0.00 0.1844E-13 0.00 - 30 0.2389E+05 0.2504E-03 0.2821E+07 | 0.2758E-05 1.68 0.1222E-11 0.00 0.5536E-14 0.00 - 31 0.2486E+05 0.2245E-03 0.2738E+07 | 0.8895E-11 0.00 0.1073E-05 0.66 0.2941E-15 0.00 - 32 0.2702E+05 0.1101E-03 0.1587E+07 | 0.2090E-13 0.00 0.7598E-13 0.00 0.5557E-05 3.39 - 33 0.2753E+05 0.2511E-03 0.3758E+07 | 0.1142E-13 0.00 0.1687E-12 0.00 0.2583E-11 0.00 - 34 0.2816E+05 0.3652E-04 0.5716E+06 | 0.2599E-11 0.00 0.6572E-14 0.00 0.5853E-12 0.00 - 35 0.2818E+05 0.7464E-04 0.1170E+07 | 0.8741E-05 5.34 0.1855E-12 0.00 0.1095E-14 0.00 - 36 0.2891E+05 0.2017E-03 0.3326E+07 | 0.1174E-12 0.00 0.1435E-13 0.00 0.2022E-05 1.23 - 37 0.3122E+05 0.6227E-03 0.1198E+08 | 0.2126E-15 0.00 0.1513E-13 0.00 0.7575E-07 0.05 - 38 0.3154E+05 0.3833E-04 0.7525E+06 | 0.1383E-11 0.00 0.2818E-06 0.17 0.7719E-16 0.00 - 39 0.3281E+05 0.9190E-04 0.1953E+07 | 0.2173E-05 1.33 0.6825E-13 0.00 0.3336E-15 0.00 - 40 0.3324E+05 0.7585E-03 0.1654E+08 | 0.2638E-12 0.00 0.5004E-15 0.00 0.1994E-13 0.00 - 41 0.3355E+05 0.6695E-04 0.1488E+07 | 0.3858E-12 0.00 0.5677E-14 0.00 0.2133E-10 0.00 - 42 0.3572E+05 0.8342E-04 0.2101E+07 | 0.2777E-12 0.00 0.6456E-06 0.39 0.5859E-12 0.00 - 43 0.3726E+05 0.3502E-02 0.9596E+08 | 0.9303E-15 0.00 0.1854E-12 0.00 0.9149E-06 0.56 - 44 0.3845E+05 0.2623E-04 0.7654E+06 | 0.3154E-14 0.00 0.4957E-16 0.00 0.5292E-08 0.00 - 45 0.3871E+05 0.1615E-02 0.4777E+08 | 0.1748E-12 0.00 0.7675E-12 0.00 0.7126E-13 0.00 - 46 0.3996E+05 0.5267E-04 0.1660E+07 | 0.6469E-12 0.00 0.5232E-07 0.03 0.3633E-14 0.00 - 47 0.4181E+05 0.1231E-03 0.4249E+07 | 0.9855E-06 0.60 0.1616E-11 0.00 0.1295E-14 0.00 - 48 0.4240E+05 0.4706E-04 0.1670E+07 | 0.1035E-12 0.00 0.6104E-07 0.04 0.6596E-14 0.00 - 49 0.4288E+05 0.5109E-03 0.1854E+08 | 0.5127E-12 0.00 0.4124E-12 0.00 0.3223E-13 0.00 - 50 0.4481E+05 0.4372E-04 0.1733E+07 | 0.1491E-05 0.91 0.5077E-12 0.00 0.4970E-14 0.00 - 51 0.4640E+05 0.1030E-01 0.4378E+09 | 0.7893E-08 0.00 0.2101E-10 0.00 0.5061E-16 0.00 - 52 0.4700E+05 0.1583E-03 0.6903E+07 | 0.2755E-08 0.00 0.1767E-10 0.00 0.4473E-14 0.00 - 53 0.4926E+05 0.2828E-04 0.1354E+07 | 0.4423E-14 0.00 0.6975E-14 0.00 0.3640E-14 0.00 - 54 0.5202E+05 0.3058E-03 0.1633E+08 | 0.8724E-16 0.00 0.1898E-12 0.00 0.6733E-07 0.04 - 55 0.5356E+05 0.3067E-04 0.1737E+07 | 0.2827E-09 0.00 0.7081E-11 0.00 0.6331E-14 0.00 - 56 0.5456E+05 0.4185E-03 0.2459E+08 | 0.7204E-15 0.00 0.5357E-11 0.00 0.6836E-07 0.04 - 57 0.5500E+05 0.6909E-04 0.4126E+07 | 0.1057E-13 0.00 0.1184E-06 0.07 0.3126E-11 0.00 - 58 0.5667E+05 0.4766E-04 0.3021E+07 | 0.1216E-11 0.00 0.3458E-06 0.21 0.6524E-13 0.00 - 59 0.5870E+05 0.5234E-04 0.3560E+07 | 0.3920E-08 0.00 0.7452E-12 0.00 0.1926E-14 0.00 - 60 0.6086E+05 0.2454E-04 0.1795E+07 | 0.7003E-17 0.00 0.3225E-15 0.00 0.1146E-07 0.01 - 61 0.6425E+05 0.8506E-04 0.6932E+07 | 0.2102E-08 0.00 0.6147E-12 0.00 0.1000E-13 0.00 - 62 0.6669E+05 0.3076E-03 0.2700E+08 | 0.7911E-14 0.00 0.1287E-11 0.00 0.1356E-14 0.00 - 63 0.6795E+05 0.5387E-04 0.4910E+07 | 0.9959E-15 0.00 0.6835E-13 0.00 0.1458E-13 0.00 - 64 0.7099E+05 0.1065E-03 0.1059E+08 | 0.2382E-06 0.15 0.6992E-09 0.00 0.1288E-13 0.00 - 65 0.7122E+05 0.2217E-04 0.2220E+07 | 0.1384E-08 0.00 0.1379E-06 0.08 0.7501E-14 0.00 - 66 0.7671E+05 0.4279E-04 0.4970E+07 | 0.1094E-14 0.00 0.3233E-12 0.00 0.9274E-12 0.00 - 67 0.7733E+05 0.4163E-04 0.4914E+07 | 0.1926E-14 0.00 0.2786E-14 0.00 0.7955E-07 0.05 - 68 0.7917E+05 0.2666E-04 0.3298E+07 | 0.4842E-14 0.00 0.2944E-07 0.02 0.2321E-14 0.00 - 69 0.8011E+05 0.2361E-03 0.2990E+08 | 0.3464E-15 0.00 0.5896E-13 0.00 0.5503E-08 0.00 - 70 0.8197E+05 0.2940E-04 0.3900E+07 | 0.9731E-08 0.01 0.1216E-11 0.00 0.1926E-14 0.00 - 71 0.8253E+05 0.8435E-04 0.1134E+08 | 0.1371E-16 0.00 0.1728E-13 0.00 0.1036E-14 0.00 - 72 0.8435E+05 0.3624E-04 0.5089E+07 | 0.3752E-07 0.02 0.9855E-12 0.00 0.1549E-14 0.00 - 73 0.8679E+05 0.2965E-04 0.4409E+07 | 0.3313E-15 0.00 0.5288E-13 0.00 0.3140E-14 0.00 - 74 0.9024E+05 0.2914E-04 0.4685E+07 | 0.1147E-13 0.00 0.2521E-08 0.00 0.6567E-17 0.00 - 75 0.9075E+05 0.1643E-04 0.2671E+07 | 0.9264E-19 0.00 0.1095E-18 0.00 0.2076E-08 0.00 - 76 0.9299E+05 0.2094E-03 0.3574E+08 | 0.7943E-14 0.00 0.2222E-11 0.00 0.1215E-14 0.00 - 77 0.9350E+05 0.1521E-04 0.2625E+07 | 0.2711E-13 0.00 0.1604E-07 0.01 0.1811E-15 0.00 - 78 0.9520E+05 0.2229E-04 0.3988E+07 | 0.1291E-15 0.00 0.7183E-17 0.00 0.9635E-08 0.01 - 79 0.9751E+05 0.2198E-04 0.4125E+07 | 0.6943E-09 0.00 0.1570E-12 0.00 0.1286E-17 0.00 - 80 0.1017E+06 0.1503E-03 0.3068E+08 | 0.8230E-07 0.05 0.1807E-12 0.00 0.1754E-15 0.00 - 81 0.1038E+06 0.1615E-03 0.3436E+08 | 0.1295E-15 0.00 0.1399E-13 0.00 0.5683E-08 0.00 - 82 0.1049E+06 0.6127E-04 0.1330E+08 | 0.6243E-16 0.00 0.1896E-14 0.00 0.2931E-14 0.00 - 83 0.1133E+06 0.7186E-04 0.1820E+08 | 0.1046E-12 0.00 0.3700E-07 0.02 0.1139E-13 0.00 - 84 0.1166E+06 0.1886E-04 0.5066E+07 | 0.7331E-15 0.00 0.1030E-07 0.01 0.9120E-13 0.00 - 85 0.1182E+06 0.5412E-04 0.1494E+08 | 0.3147E-16 0.00 0.1620E-16 0.00 0.1400E-09 0.00 - 86 0.1191E+06 0.2568E-03 0.7193E+08 | 0.6689E-12 0.00 0.2429E-10 0.00 0.7939E-12 0.00 - 87 0.1217E+06 0.2483E-03 0.7258E+08 | 0.3683E-13 0.00 0.2458E-12 0.00 0.1010E-06 0.06 - 88 0.1250E+06 0.9812E-04 0.3027E+08 | 0.2733E-06 0.17 0.2137E-12 0.00 0.1759E-13 0.00 - 89 0.1318E+06 0.4055E-04 0.1390E+08 | 0.2686E-16 0.00 0.3162E-15 0.00 0.2108E-13 0.00 - 90 0.1342E+06 0.8834E-04 0.3141E+08 | 0.3674E-12 0.00 0.9750E-07 0.06 0.1041E-12 0.00 - 91 0.1367E+06 0.1644E-04 0.6066E+07 | 0.9257E-09 0.00 0.1207E-14 0.00 0.1427E-16 0.00 - 92 0.1424E+06 0.8998E-04 0.3599E+08 | 0.4037E-06 0.25 0.2210E-11 0.00 0.9416E-14 0.00 - 93 0.1440E+06 0.4168E-04 0.1706E+08 | 0.2269E-15 0.00 0.3145E-16 0.00 0.1919E-08 0.00 - 94 0.1479E+06 0.6144E-04 0.2653E+08 | 0.3196E-11 0.00 0.5042E-07 0.03 0.4094E-13 0.00 - 95 0.1512E+06 0.1098E-03 0.4955E+08 | 0.1592E-15 0.00 0.3402E-15 0.00 0.1654E-14 0.00 - 96 0.1517E+06 0.1210E-03 0.5500E+08 | 0.1751E-07 0.01 0.6220E-12 0.00 0.1277E-14 0.00 - 97 0.1552E+06 0.1506E-04 0.7156E+07 | 0.6312E-14 0.00 0.2375E-08 0.00 0.6214E-14 0.00 - 98 0.1563E+06 0.4224E-04 0.2037E+08 | 0.1488E-17 0.00 0.1362E-17 0.00 0.4402E-15 0.00 - 99 0.1569E+06 0.4026E-04 0.1955E+08 | 0.2154E-07 0.01 0.2693E-12 0.00 0.5247E-15 0.00 - 100 0.1570E+06 0.2827E-04 0.1375E+08 | 0.8769E-16 0.00 0.6416E-16 0.00 0.7968E-09 0.00 - 101 0.1570E+06 0.2841E-04 0.1383E+08 | 0.1065E-12 0.00 0.6906E-10 0.00 0.1421E-15 0.00 - 102 0.1690E+06 0.1319E-04 0.7433E+07 | 0.5268E-13 0.00 0.3673E-14 0.00 0.6435E-18 0.00 - -------------------------------------------------------------------------------------------------------------- - sum | 0.1551E-03 94.69 0.1532E-03 93.54 0.1532E-03 93.52 - -------------------------------------------------------------------------------------------------------------- - - - *** ANSYS BINARY FILE STATISTICS - BUFFER SIZE USED= 16384 - 0.062 MB WRITTEN ON ELEMENT MATRIX FILE: file0.emat - 15.312 MB WRITTEN ON ELEMENT SAVED DATA FILE: file0.esav - 0.125 MB WRITTEN ON ASSEMBLED MATRIX FILE: file0.full - 0.125 MB WRITTEN ON MODAL MATRIX FILE: file0.mode - 0.562 MB WRITTEN ON SUBSTRUCTURE DOF SOLUTION FILE: file0.dsub - 0.750 MB WRITTEN ON RESULTS FILE: file0.rst - *************** Write FE CONNECTORS ********* - - WRITE OUT CONSTRAINT EQUATIONS TO FILE= file.ce - - *GET _NMODALSOLPROC FROM ACTI ITEM=NUMC VALUE= 2.00000000 - - FINISH SOLUTION PROCESSING - - - ***** ROUTINE COMPLETED ***** CP = 2.625 - - - - ALL CURRENT ANSYS DATA WRITTEN TO FILE NAME= file.db - FOR POSSIBLE RESUME FROM THIS POINT - - PRINTOUT RESUMED BY /GOP - - *GET _WALLASOL FROM ACTI ITEM=TIME WALL VALUE= 15.9263889 - - *** ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 2020 R1 20.1 *** - DISTRIBUTED ANSYS Academic Research - - 00208316 VERSION=WINDOWS x64 15:55:35 JUN 12, 2020 CP= 2.703 - - Piezo-APA95ML-3DElm--Modal (A5) - - - - ***** ANSYS RESULTS INTERPRETATION (POST1) ***** - - *** NOTE *** CP = 2.703 TIME= 15:55:35 - Reading results into the database (SET command) will update the current - displacement and force boundary conditions in the database with the - values from the results file for that load set. Note that any - subsequent solutions will use these values unless action is taken to - either SAVE the current values or not overwrite them (/EXIT,NOSAVE). - - PRINTOUT RESUMED BY /GOP - - Set Encoding of XML File to:ISO-8859-1 - - Set Output of XML File to: - PARM, , , , , , , , , , , , - , , , , , , , - - DATABASE WRITTEN ON FILE parm.xml - - EXIT THE ANSYS POST1 DATABASE PROCESSOR - - - ***** ROUTINE COMPLETED ***** CP = 3.562 - - - - PRINTOUT RESUMED BY /GOP - - *GET _WALLDONE FROM ACTI ITEM=TIME WALL VALUE= 15.9263889 - - PARAMETER _PREPTIME = 0.000000000 - - PARAMETER _SOLVTIME = 2.000000000 - - PARAMETER _POSTTIME = 0.000000000 - - PARAMETER _TOTALTIM = 2.000000000 - - *GET _DLBRATIO FROM ACTI ITEM=SOLU DLBR VALUE= 1.00000000 - - *GET _COMBTIME FROM ACTI ITEM=SOLU COMB VALUE= 0.203012000E-01 - --- Number of total nodes = 18 - --- Number of total elements = 2 - --- Element load balance ratio = 1 - --- Time to combine distributed files = 2.03012E-02 - - EXIT ANSYS WITHOUT SAVING DATABASE - - - NUMBER OF WARNING MESSAGES ENCOUNTERED= 3 - NUMBER OF ERROR MESSAGES ENCOUNTERED= 0 - -+--------- D I S T R I B U T E D A N S Y S S T A T I S T I C S ------------+ - -Release: 2020 R1 Build: 20.1 Update: UP20191203 Platform: WINDOWS x64 -Date Run: 06/12/2020 Time: 15:55 Process ID: 11700 -Operating System: Windows 10 (Build: 17763) - -Processor Model: Intel(R) Xeon(R) CPU E5-1620 v4 @ 3.50GHz - -Compiler: Intel(R) FORTRAN Compiler Version 19.0.0 (Build: 20190206) - Intel(R) C/C++ Compiler Version 19.0.0 (Build: 20190206) - Intel(R) Math Kernel Library Version 2019.0.3 Product Build 20190125 - -Number of machines requested : 1 -Total number of cores available : 8 -Number of physical cores available : 4 -Number of processes requested : 4 -Number of threads per process requested : 1 -Total number of cores requested : 4 (Distributed Memory Parallel) -MPI Type: INTELMPI -MPI Version: Intel(R) MPI Library 2018 Update 3 for Windows* OS - - -GPU Acceleration: Not Requested - -Job Name: file0 -Input File: dummy.dat - - Core Machine Name Working Directory - ----------------------------------------------------- - 0 PCBRUMUND.esrf.fr C:\Users\brumund\Documents (Local)\ANSYS\NASS\_ProjectScratch\ScrA687 - 1 PCBRUMUND.esrf.fr C:\Users\brumund\Documents (Local)\ANSYS\NASS\_ProjectScratch\ScrA687 - 2 PCBRUMUND.esrf.fr C:\Users\brumund\Documents (Local)\ANSYS\NASS\_ProjectScratch\ScrA687 - 3 PCBRUMUND.esrf.fr C:\Users\brumund\Documents (Local)\ANSYS\NASS\_ProjectScratch\ScrA687 - -Latency time from master to core 1 = 1.195 microseconds -Latency time from master to core 2 = 1.234 microseconds -Latency time from master to core 3 = 1.211 microseconds - -Communication speed from master to core 1 = 4914.04 MB/sec -Communication speed from master to core 2 = 5102.37 MB/sec -Communication speed from master to core 3 = 4676.01 MB/sec - -Total CPU time for main thread : 2.5 seconds -Total CPU time summed for all threads : 3.6 seconds - -Elapsed time spent obtaining a license : 0.6 seconds -Elapsed time spent pre-processing model (/PREP7) : 0.0 seconds -Elapsed time spent solution - preprocessing : 0.1 seconds -Elapsed time spent computing solution : 1.5 seconds -Elapsed time spent solution - postprocessing : 0.0 seconds -Elapsed time spent post-processing model (/POST1) : 0.2 seconds - -Eigensolver used : Block Lanczos - -Maximum total memory used : 226.0 MB -Maximum total memory allocated : 5184.0 MB -Total physical memory available : 64 GB - -Total amount of I/O written to disk : 0.0 GB -Total amount of I/O read from disk : 1.7 GB - -+------ E N D D I S T R I B U T E D A N S Y S S T A T I S T I C S -------+ - - - *---------------------------------------------------------------------------* - | | - | DISTRIBUTED ANSYS RUN COMPLETED | - | | - |---------------------------------------------------------------------------| - | | - | Ansys 2020 R1 Build 20.1 UP20191203 WINDOWS x64 | - | | - |---------------------------------------------------------------------------| - | | - | Database Requested(-db) 1024 MB Scratch Memory Requested 1024 MB | - | Maximum Database Used 7 MB Maximum Scratch Memory Used 165 MB | - | | - |---------------------------------------------------------------------------| - | | - | CP Time (sec) = 3.641 Time = 15:55:35 | - | Elapsed Time (sec) = 4.000 Date = 06/12/2020 | - | | - *---------------------------------------------------------------------------* diff --git a/matlab/to-order/piezo_amplified_3d/solve_modal_10kg.out b/matlab/to-order/piezo_amplified_3d/solve_modal_10kg.out deleted file mode 100755 index 958d8d6..0000000 --- a/matlab/to-order/piezo_amplified_3d/solve_modal_10kg.out +++ /dev/null @@ -1,1537 +0,0 @@ - - ANSYS Academic Research - - - *------------------------------------------------------------------* - | | - | W E L C O M E T O T H E A N S Y S (R) P R O G R A M | - | | - *------------------------------------------------------------------* - - - - - *************************************************************** - * ANSYS 2020 R1 LEGAL NOTICES * - *************************************************************** - * * - * Copyright 1971-2020 ANSYS, Inc. All rights reserved. * - * Unauthorized use, distribution or duplication is * - * prohibited. * - * * - * Ansys is a registered trademark of ANSYS, Inc. or its * - * subsidiaries in the United States or other countries. * - * See the ANSYS, Inc. online documentation or the ANSYS, Inc. * - * documentation CD or online help for the complete Legal * - * Notice. * - * * - *************************************************************** - * * - * THIS ANSYS SOFTWARE PRODUCT AND PROGRAM DOCUMENTATION * - * INCLUDE TRADE SECRETS AND CONFIDENTIAL AND PROPRIETARY * - * PRODUCTS OF ANSYS, INC., ITS SUBSIDIARIES, OR LICENSORS. * - * The software products and documentation are furnished by * - * ANSYS, Inc. or its subsidiaries under a software license * - * agreement that contains provisions concerning * - * non-disclosure, copying, length and nature of use, * - * compliance with exporting laws, warranties, disclaimers, * - * limitations of liability, and remedies, and other * - * provisions. The software products and documentation may be * - * used, disclosed, transferred, or copied only in accordance * - * with the terms and conditions of that software license * - * agreement. * - * * - * ANSYS, Inc. is a UL registered * - * ISO 9001:2015 company. * - * * - *************************************************************** - * * - * This product is subject to U.S. laws governing export and * - * re-export. * - * * - * For U.S. Government users, except as specifically granted * - * by the ANSYS, Inc. software license agreement, the use, * - * duplication, or disclosure by the United States Government * - * is subject to restrictions stated in the ANSYS, Inc. * - * software license agreement and FAR 12.212 (for non-DOD * - * licenses). * - * * - *************************************************************** - - 2020 R1 - - Point Releases and Patches installed: - - ANSYS, Inc. Products 2020 R1 - SpaceClaim 2020 R1 - Autodyn 2020 R1 - Aqwa 2020 R1 - Customization Files for User Programmable Features 2020 R1 - Mechanical Products 2020 R1 - Additive 2020 R1 - Viewer 2020 R1 - ACIS Geometry Interface 2020 R1 - AutoCAD Geometry Interface 2020 R1 - Catia, Version 4 Geometry Interface 2020 R1 - Catia, Version 5 Geometry Interface 2020 R1 - Catia, Version 6 Geometry Interface 2020 R1 - Creo Elements/Direct Modeling Geometry Interface 2020 R1 - Creo Parametric Geometry Interface 2020 R1 - Inventor Geometry Interface 2020 R1 - JTOpen Geometry Interface 2020 R1 - NX Geometry Interface 2020 R1 - Parasolid Geometry Interface 2020 R1 - Solid Edge Geometry Interface 2020 R1 - SOLIDWORKS Geometry Interface 2020 R1 - ANSYS, Inc. License Manager 2020 R1 - - - ***** ANSYS COMMAND LINE ARGUMENTS ***** - BATCH MODE REQUESTED (-b) = NOLIST - INPUT FILE COPY MODE (-c) = COPY - DISTRIBUTED MEMORY PARALLEL REQUESTED - 4 PARALLEL PROCESSES REQUESTED WITH SINGLE THREAD PER PROCESS - TOTAL OF 4 CORES REQUESTED - DESIGNXPLORER REQUESTED - INPUT FILE NAME = C:\Users\brumund\Documents (Local)\ANSYS\NASS\_ProjectScratch\Scr779E\dummy.dat - OUTPUT FILE NAME = C:\Users\brumund\Documents (Local)\ANSYS\NASS\_ProjectScratch\Scr779E\solve.out - START-UP FILE MODE = NOREAD - STOP FILE MODE = NOREAD - - RELEASE= 2020 R1 BUILD= 20.1 UP20191203 VERSION=WINDOWS x64 - CURRENT JOBNAME=file0 15:59:03 JUN 12, 2020 CP= 0.281 - - - PARAMETER _DS_PROGRESS = 999.0000000 - - /INPUT FILE= ds.dat LINE= 0 - - - - *** NOTE *** CP = 0.422 TIME= 15:59:03 - The /CONFIG,NOELDB command is not valid in a Distributed ANSYS - solution. Command is ignored. - - *GET _WALLSTRT FROM ACTI ITEM=TIME WALL VALUE= 15.9841667 - - TITLE= - Piezo-APA95ML-3DElm--Modal (A5) - - - SET PARAMETER DIMENSIONS ON _WB_PROJECTSCRATCH_DIR - TYPE=STRI DIMENSIONS= 248 1 1 - - PARAMETER _WB_PROJECTSCRATCH_DIR(1) = C:\Users\brumund\Documents (Local)\ANSYS\NASS\_ProjectScratch\Scr779E\ - - SET PARAMETER DIMENSIONS ON _WB_SOLVERFILES_DIR - TYPE=STRI DIMENSIONS= 248 1 1 - - PARAMETER _WB_SOLVERFILES_DIR(1) = C:\Users\brumund\Documents (Local)\ANSYS\NASS\Piezo-APA95ML-3DElm_files\dp0\SYS-3\MECH\ - - SET PARAMETER DIMENSIONS ON _WB_USERFILES_DIR - TYPE=STRI DIMENSIONS= 248 1 1 - - PARAMETER _WB_USERFILES_DIR(1) = C:\Users\brumund\Documents (Local)\ANSYS\NASS\Piezo-APA95ML-3DElm_files\user_files\ - --- Data in consistent NMM units. See Solving Units in the help system for more - - MPA UNITS SPECIFIED FOR INTERNAL - LENGTH = MILLIMETERS (mm) - MASS = TONNE (Mg) - TIME = SECONDS (sec) - TEMPERATURE = CELSIUS (C) - TOFFSET = 273.0 - FORCE = NEWTON (N) - HEAT = MILLIJOULES (mJ) - - INPUT UNITS ARE ALSO SET TO MPA - - *** ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 2020 R1 20.1 *** - DISTRIBUTED ANSYS Academic Research - - 00208316 VERSION=WINDOWS x64 15:59:03 JUN 12, 2020 CP= 0.453 - - Piezo-APA95ML-3DElm--Modal (A5) - - - - ***** ANSYS ANALYSIS DEFINITION (PREP7) ***** - *********** Nodes for all Remote Points *********** - *********** Send Condensed Parts As Superelements *********** - *********** Include Condensed Part "Condensed Part" *********** - *********** Send User Defined Coordinate System(s) *********** - *********** Set Reference Temperature *********** - *********** Send Materials *********** - *********** Construct Remote Mass Using Remote Attachment *********** - *********** Construct Remote Displacement *********** - *** Create a component for all remote displacements *** - - - ***** ROUTINE COMPLETED ***** CP = 0.453 - - - --- Number of total nodes = 18 - --- Number of contact elements = 0 - --- Number of spring elements = 0 - --- Number of bearing elements = 0 - --- Number of solid elements = 105535 - --- Number of condensed parts = 0 - --- Number of total elements = 2 - - *GET _WALLBSOL FROM ACTI ITEM=TIME WALL VALUE= 15.9841667 - - ***** ANSYS SOLUTION ROUTINE ***** - - - PERFORM A MODAL ANALYSIS - THIS WILL BE A NEW ANALYSIS - - PARAMETER _THICKRATIO = 1.000000000 - - - USE SYM. BLOCK LANCZOS MODE EXTRACTION METHOD - EXTRACT 108 MODES - NORMALIZE THE MODE SHAPES TO THE MASS MATRIX - - ERASE THE CURRENT DATABASE OUTPUT CONTROL TABLE. - - - WRITE ALL ITEMS TO THE DATABASE WITH A FREQUENCY OF NONE - FOR ALL APPLICABLE ENTITIES - - WRITE NSOL ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL - FOR ALL APPLICABLE ENTITIES - - WRITE EANG ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL - FOR ALL APPLICABLE ENTITIES - - WRITE VENG ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL - FOR ALL APPLICABLE ENTITIES - - WRITE ETMP ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL - FOR ALL APPLICABLE ENTITIES - - WRITE STRS ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL - FOR ALL APPLICABLE ENTITIES - - WRITE EPEL ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL - FOR ALL APPLICABLE ENTITIES - - WRITE EPPL ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL - FOR ALL APPLICABLE ENTITIES - - WRITE RSOL ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL - FOR ALL APPLICABLE ENTITIES - - SELECT FOR ITEM=D COMPONENT=U BETWEEN 0.0000 AND 0.0000 - KABS= 0. TOLERANCE= 0.100000E-05 - - 1 NODES (OF 18 DEFINED) SELECTED BY NSEL COMMAND. - - ALSO SELECT FOR ITEM=D COMPONENT=ROT BETWEEN 0.0000 AND 0.0000 - KABS= 0. TOLERANCE= 0.100000E-05 - - 1 NODES (OF 18 DEFINED) SELECTED BY NSEL COMMAND. - - SELECT ALL ELEMENTS HAVING ANY NODE IN NODAL SET. - - 1 ELEMENTS (OF 2 DEFINED) SELECTED FROM - 1 SELECTED NODES BY ESLN COMMAND. - - DEFINITION OF COMPONENT = _CONSTRAINEDNODES ENTITY=ELEM - - ALL SELECT FOR ITEM=NODE COMPONENT= - IN RANGE 1 TO 168964 STEP 1 - - 18 NODES (OF 18 DEFINED) SELECTED BY NSEL COMMAND. - - ALL SELECT FOR ITEM=ELEM COMPONENT= - IN RANGE 1 TO 127001 STEP 1 - - 2 ELEMENTS (OF 2 DEFINED) SELECTED BY ESEL COMMAND. - - WRITE NLOA ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL - FOR THE ENTITIES DEFINED BY COMPONENT _CONSTRAINEDNODES - - WRITE CONT ITEMS TO THE DATABASE WITH A FREQUENCY OF ALL - FOR ALL APPLICABLE ENTITIES - - - EXPAND ALL EXTRACTED MODES - CALCULATE ELEMENT RESULTS AND NODAL DOF SOLUTION - CALCULATE STRESSES IN ANY DOWNSTREAM MODE SUPERPOSITION EXPANSION PASS - - DO NOT COMBINE ELEMENT SAVE DATA FILES (.esav) AFTER DISTRIBUTED PARALLEL SOLUTION - - DO NOT COMBINE ELEMENT MATRIX FILES (.emat) AFTER DISTRIBUTED PARALLEL SOLUTION - - DO NOT COMBINE ASSEMBLED MATRIX FILES (.full) AFTER DISTRIBUTED PARALLEL SOLUTION - - *GET ANSINTER_ FROM ACTI ITEM=INT VALUE= 0.00000000 - - *IF ANSINTER_ ( = 0.00000 ) NE - 0 ( = 0.00000 ) THEN - - *ENDIF - - *** NOTE *** CP = 0.516 TIME= 15:59:03 - The automatic domain decomposition logic has selected the MESH domain - decomposition method with 4 processes per solution. - - ***** ANSYS SOLVE COMMAND ***** - - *** WARNING *** CP = 0.516 TIME= 15:59:03 - Element shape checking is currently inactive. Issue SHPP,ON or - SHPP,WARN to reactivate, if desired. - - *** NOTE *** CP = 0.578 TIME= 15:59:03 - The model data was checked and warning messages were found. - Please review output or errors file ( C:\Users\brumund\Documents - (Local)\ANSYS\NASS\_ProjectScratch\Scr779E\file0.err ) for these - warning messages. - - *** ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 2020 R1 20.1 *** - DISTRIBUTED ANSYS Academic Research - - 00208316 VERSION=WINDOWS x64 15:59:03 JUN 12, 2020 CP= 0.578 - - Piezo-APA95ML-3DElm--Modal (A5) - - - - S O L U T I O N O P T I O N S - - PROBLEM DIMENSIONALITY. . . . . . . . . . . . .3-D - DEGREES OF FREEDOM. . . . . . UX UY UZ ROTX ROTY ROTZ - ANALYSIS TYPE . . . . . . . . . . . . . . . . .MODAL - EXTRACTION METHOD. . . . . . . . . . . . . .BLOCK LANCZOS - OFFSET TEMPERATURE FROM ABSOLUTE ZERO . . . . . 273.15 - NUMBER OF MODES TO EXTRACT. . . . . . . . . . . 108 - GLOBALLY ASSEMBLED MATRIX . . . . . . . . . . .SYMMETRIC - NUMBER OF MODES TO EXPAND . . . . . . . . . . .ALL - ELEMENT RESULTS CALCULATION . . . . . . . . . .ON - - *** WARNING *** CP = 0.578 TIME= 15:59:03 - Material number 2 (used by element 127001) should normally have at - least one MP or one TB type command associated with it. Output of - energy by material may not be available. - - *** NOTE *** CP = 0.578 TIME= 15:59:03 - The step data was checked and warning messages were found. - Please review output or errors file ( C:\Users\brumund\Documents - (Local)\ANSYS\NASS\_ProjectScratch\Scr779E\file0.err ) for these - warning messages. - - *** NOTE *** CP = 0.641 TIME= 15:59:03 - Internal nodes from 200001 to 200010 are created for component mode - synthesis superelement. Also, the associated SUB files are updated - for the new nodes. - - *** NOTE *** CP = 0.641 TIME= 15:59:03 - The number of CPU processors specified is greater than the number of - elements selected in the model. The number of Distributed ANSYS - processes will be reduced to 2 for this solution. - - - - D I S T R I B U T E D D O M A I N D E C O M P O S E R - - ...Number of elements: 2 - ...Number of nodes: 28 - ...Decompose to 2 CPU domains - - *** NOTE *** CP = 0.641 TIME= 15:59:03 - ANSYS can optimally decompose the model into 2 CPU Domains, which does - not match the total number of processors specified upon startup of - Distributed ANSYS. Distributed parallel processing has been - temporarily modified to only use 2 processes for this solution. - ...Element load balance ratio = 1.000 - - - L O A D S T E P O P T I O N S - - LOAD STEP NUMBER. . . . . . . . . . . . . . . . 1 - THERMAL STRAINS INCLUDED IN THE LOAD VECTOR . . YES - PRINT OUTPUT CONTROLS . . . . . . . . . . . . .NO PRINTOUT - DATABASE OUTPUT CONTROLS - ITEM FREQUENCY COMPONENT - ALL NONE - NSOL ALL - EANG ALL - VENG ALL - ETMP ALL - STRS ALL - EPEL ALL - EPPL ALL - RSOL ALL - NLOA ALL _CONSTRAINEDNODES - CONT ALL - - - - *********** PRECISE MASS SUMMARY *********** - - TOTAL RIGID BODY MASS MATRIX ABOUT ORIGIN - Translational mass | Coupled translational/rotational mass - 0.10164E-01 0.0000 0.0000 | 0.0000 0.55514E-11 -0.30000 - 0.0000 0.10164E-01 0.0000 | -0.55514E-11 0.0000 0.18635E-10 - 0.0000 0.0000 0.10164E-01 | 0.30000 -0.18635E-10 0.0000 - ------------------------------------------ | ------------------------------------------ - | Rotational mass (inertia) - | 9.0399 0.29086E-09 -0.14510E-09 - | 0.29086E-09 0.93584E-01 0.39192E-10 - | -0.14510E-09 0.39192E-10 9.1253 - - TOTAL MASS = 0.10164E-01 - The mass principal axes coincide with the global Cartesian axes - - CENTER OF MASS (X,Y,Z)= 0.18335E-08 29.516 0.54620E-09 - - TOTAL INERTIA ABOUT CENTER OF MASS - 0.18499 0.84091E-09 -0.14510E-09 - 0.84091E-09 0.93584E-01 0.20305E-09 - -0.14510E-09 0.20305E-09 0.27038 - The inertia principal axes coincide with the global Cartesian axes - - - *** MASS SUMMARY BY ELEMENT TYPE *** - - TYPE MASS - 1 0.163824E-03 - 2 0.100000E-01 - - Range of element maximum matrix coefficients in global coordinates - Maximum = 8.529154772E+10 at element 127000. - Minimum = 8.529154772E+10 at element 127000. - - *** ELEMENT MATRIX FORMULATION TIMES - TYPE NUMBER ENAME TOTAL CP AVE CP - - 1 1 MATRIX50 0.125 0.125000 - 2 1 MASS21 0.000 0.000000 - Time at end of element matrix formulation CP = 1.140625. - - *** WARNING *** CP = 1.141 TIME= 15:59:03 - The requested number of modes is reduced from 108 to 102 since there - are only 102 degrees of freedom in the model. - - BLOCK LANCZOS CALCULATION OF UP TO 102 EIGENVECTORS. - NUMBER OF EQUATIONS = 102 - MAXIMUM WAVEFRONT = 108 - MAXIMUM MODES STORED = 102 - MINIMUM EIGENVALUE = 0.00000E+00 - MAXIMUM EIGENVALUE = 0.10000E+31 - - - Local memory allocated for solver = 0.369 MB - Local memory required for in-core solution = 0.320 MB - Local memory required for out-of-core solution = 0.320 MB - - Total memory allocated for solver = 0.616 MB - Total memory required for in-core solution = 0.534 MB - Total memory required for out-of-core solution = 0.534 MB - - *** NOTE *** CP = 1.281 TIME= 15:59:03 - The Distributed Sparse Matrix Solver used by the Block Lanczos - eigensolver is currently running in the in-core memory mode. This - memory mode uses the most amount of memory in order to avoid using the - hard drive as much as possible, which most often results in the - fastest solution time. This mode is recommended if enough physical - memory is present to accommodate all of the solver data. - - *** ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 2020 R1 20.1 *** - DISTRIBUTED ANSYS Academic Research - - 00208316 VERSION=WINDOWS x64 15:59:03 JUN 12, 2020 CP= 1.344 - - Piezo-APA95ML-3DElm--Modal (A5) - - - - *** FREQUENCIES FROM BLOCK LANCZOS ITERATION *** - - MODE FREQUENCY (HERTZ) - - - 1 40.85782749860 - 2 45.01678824589 - 3 233.2392378332 - 4 2194.652968850 - 5 3060.023849271 - 6 3117.397703969 - 7 3720.241710802 - 8 4864.719126155 - 9 6438.129607586 - 10 6963.340239953 - 11 8818.922219532 - 12 9273.233228391 - 13 9536.686354933 - 14 10144.83471058 - 15 11064.02470390 - 16 11541.53831729 - 17 12120.30239121 - 18 12798.83182155 - 19 14123.98306468 - 20 14445.68904072 - 21 14686.89896521 - 22 15970.88042639 - 23 16746.35463350 - 24 18625.64175262 - 25 18972.36294300 - 26 19773.43140781 - 27 20120.46787451 - 28 21378.91553349 - 29 23634.49532488 - 30 23638.44235292 - 31 24108.07027831 - 32 24610.74231609 - 33 24898.18047959 - 34 27154.36223285 - 35 27531.89485315 - 36 28157.92971886 - 37 28222.71881265 - 38 28360.29962957 - 39 30894.92815589 - 40 32053.78834642 - 41 33226.93296572 - 42 33240.20873041 - 43 34570.87933590 - 44 37255.53272197 - 45 38447.41517991 - 46 38712.73651879 - 47 39389.37193636 - 48 41906.44557218 - 49 42220.33692248 - 50 42877.26019816 - 51 46400.45974994 - 52 46978.08152809 - 53 48297.99799867 - 54 49255.13090059 - 55 51247.31822956 - 56 54348.39633972 - 57 54955.94319624 - 58 55477.07554342 - 59 57021.29309918 - 60 60768.15504416 - 61 63130.80020518 - 62 66686.56694307 - 63 67946.81824646 - 64 70752.06965300 - 65 70853.65737354 - 66 76710.53981350 - 67 77072.62095099 - 68 78957.79860039 - 69 80083.44834637 - 70 81881.74173736 - 71 82527.26451149 - 72 84093.97187377 - 73 86792.72606615 - 74 90233.71209973 - 75 90740.47426072 - 76 92986.96741448 - 77 93437.39745724 - 78 95165.05417910 - 79 97409.10345366 - 80 101164.3964999 - 81 103782.5377193 - 82 104870.5104942 - 83 113109.2395952 - 84 116561.4363304 - 85 118246.8577459 - 86 119127.7815633 - 87 121402.3027511 - 88 123165.7350495 - 89 131769.6441968 - 90 133702.3646605 - 91 136693.3920981 - 92 139839.0962022 - 93 143987.3893688 - 94 147639.1772602 - 95 151224.1377682 - 96 151612.4048827 - 97 155138.4056703 - 98 156318.9330701 - 99 156720.7683011 - 100 156997.0851265 - 101 157042.5014982 - 102 168943.4288918 - - *** ELEMENT RESULT CALCULATION TIMES - TYPE NUMBER ENAME TOTAL CP AVE CP - - 1 1 MATRIX50 0.016 0.015625 - 2 1 MASS21 0.000 0.000000 - - *** NODAL LOAD CALCULATION TIMES - TYPE NUMBER ENAME TOTAL CP AVE CP - - 1 1 MATRIX50 0.000 0.000000 - 2 1 MASS21 0.000 0.000000 - - *** ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 2020 R1 20.1 *** - DISTRIBUTED ANSYS Academic Research - - 00208316 VERSION=WINDOWS x64 15:59:04 JUN 12, 2020 CP= 2.656 - - Piezo-APA95ML-3DElm--Modal (A5) - - - - - - ***** PARTICIPATION FACTOR CALCULATION ***** X DIRECTION - CUMULATIVE RATIO EFF.MASS - MODE FREQUENCY PERIOD PARTIC.FACTOR RATIO EFFECTIVE MASS MASS FRACTION TO TOTAL MASS - 1 40.8578 0.24475E-01 0.10044 1.000000 0.100881E-01 0.993429 0.992553 - 2 45.0168 0.22214E-01 -0.23148E-04 0.000230 0.535815E-09 0.993429 0.527178E-07 - 3 233.239 0.42874E-02 -0.25734E-06 0.000003 0.662232E-13 0.993429 0.651558E-11 - 4 2194.65 0.45565E-03 -0.15260E-06 0.000002 0.232878E-13 0.993429 0.229124E-11 - 5 3060.02 0.32679E-03 0.42539E-06 0.000004 0.180960E-12 0.993429 0.178043E-10 - 6 3117.40 0.32078E-03 -0.21362E-06 0.000002 0.456346E-13 0.993429 0.448990E-11 - 7 3720.24 0.26880E-03 -0.31510E-02 0.031372 0.992865E-05 0.994407 0.976862E-03 - 8 4864.72 0.20556E-03 0.0000 0.000000 0.00000 0.994407 0.00000 - 9 6438.13 0.15532E-03 -0.40218E-03 0.004004 0.161752E-06 0.994423 0.159145E-04 - 10 6963.34 0.14361E-03 -0.53915E-06 0.000005 0.290682E-12 0.994423 0.285996E-10 - 11 8818.92 0.11339E-03 0.21700E-07 0.000000 0.470879E-15 0.994423 0.463289E-13 - 12 9273.23 0.10784E-03 -0.51163E-05 0.000051 0.261765E-10 0.994423 0.257546E-08 - 13 9536.69 0.10486E-03 0.21472E-02 0.021378 0.461035E-05 0.994877 0.453604E-03 - 14 10144.8 0.98572E-04 0.20749E-06 0.000002 0.430515E-13 0.994877 0.423575E-11 - 15 11064.0 0.90383E-04 0.30790E-06 0.000003 0.948053E-13 0.994877 0.932772E-11 - 16 11541.5 0.86644E-04 0.50947E-02 0.050724 0.259556E-04 0.997433 0.255372E-02 - 17 12120.3 0.82506E-04 0.84533E-06 0.000008 0.714586E-12 0.997433 0.703068E-10 - 18 12798.8 0.78132E-04 0.93024E-06 0.000009 0.865347E-12 0.997433 0.851399E-10 - 19 14124.0 0.70802E-04 -0.12907E-05 0.000013 0.166589E-11 0.997433 0.163904E-09 - 20 14445.7 0.69225E-04 -0.22972E-02 0.022872 0.527724E-05 0.997952 0.519218E-03 - 21 14686.9 0.68088E-04 0.52252E-06 0.000005 0.273031E-12 0.997952 0.268630E-10 - 22 15970.9 0.62614E-04 -0.20653E-06 0.000002 0.426549E-13 0.997952 0.419674E-11 - 23 16746.4 0.59714E-04 -0.10520E-06 0.000001 0.110680E-13 0.997952 0.108896E-11 - 24 18625.6 0.53689E-04 0.16750E-02 0.016676 0.280552E-05 0.998229 0.276030E-03 - 25 18972.4 0.52708E-04 0.73904E-08 0.000000 0.546179E-16 0.998229 0.537376E-14 - 26 19773.4 0.50573E-04 -0.20991E-06 0.000002 0.440638E-13 0.998229 0.433535E-11 - 27 20120.5 0.49701E-04 -0.80959E-07 0.000001 0.655441E-14 0.998229 0.644876E-12 - 28 21378.9 0.46775E-04 -0.32794E-06 0.000003 0.107546E-12 0.998229 0.105812E-10 - 29 23634.5 0.42311E-04 0.15264E-03 0.001520 0.232996E-07 0.998231 0.229240E-05 - 30 23638.4 0.42304E-04 -0.19126E-02 0.019043 0.365822E-05 0.998591 0.359926E-03 - 31 24108.1 0.41480E-04 0.43096E-05 0.000043 0.185722E-10 0.998591 0.182729E-08 - 32 24610.7 0.40633E-04 -0.39384E-06 0.000004 0.155113E-12 0.998591 0.152613E-10 - 33 24898.2 0.40164E-04 0.22971E-05 0.000023 0.527665E-11 0.998591 0.519160E-09 - 34 27154.4 0.36826E-04 0.81275E-03 0.008092 0.660558E-06 0.998656 0.649911E-04 - 35 27531.9 0.36322E-04 -0.13604E-06 0.000001 0.185066E-13 0.998656 0.182083E-11 - 36 28157.9 0.35514E-04 0.62716E-07 0.000001 0.393331E-14 0.998656 0.386991E-12 - 37 28222.7 0.35432E-04 0.28549E-02 0.028424 0.815064E-05 0.999459 0.801927E-03 - 38 28360.3 0.35261E-04 -0.28973E-05 0.000029 0.839440E-11 0.999459 0.825909E-09 - 39 30894.9 0.32368E-04 0.10356E-06 0.000001 0.107251E-13 0.999459 0.105522E-11 - 40 32053.8 0.31198E-04 -0.40794E-06 0.000004 0.166414E-12 0.999459 0.163732E-10 - 41 33226.9 0.30096E-04 0.16211E-02 0.016140 0.262789E-05 0.999718 0.258553E-03 - 42 33240.2 0.30084E-04 -0.22910E-04 0.000228 0.524851E-09 0.999718 0.516392E-07 - 43 34570.9 0.28926E-04 0.12663E-06 0.000001 0.160349E-13 0.999718 0.157765E-11 - 44 37255.5 0.26842E-04 0.13256E-06 0.000001 0.175730E-13 0.999718 0.172898E-11 - 45 38447.4 0.26010E-04 -0.71053E-07 0.000001 0.504857E-14 0.999718 0.496720E-12 - 46 38712.7 0.25831E-04 -0.52764E-06 0.000005 0.278404E-12 0.999718 0.273917E-10 - 47 39389.4 0.25388E-04 -0.47200E-07 0.000000 0.222783E-14 0.999718 0.219192E-12 - 48 41906.4 0.23863E-04 -0.11929E-02 0.011877 0.142299E-05 0.999858 0.140006E-03 - 49 42220.3 0.23685E-04 -0.21450E-05 0.000021 0.460093E-11 0.999858 0.452677E-09 - 50 42877.3 0.23322E-04 0.68711E-06 0.000007 0.472123E-12 0.999858 0.464513E-10 - 51 46400.5 0.21552E-04 0.46725E-04 0.000465 0.218324E-08 0.999858 0.214805E-06 - 52 46978.1 0.21287E-04 0.19218E-03 0.001913 0.369349E-07 0.999862 0.363396E-05 - 53 48298.0 0.20705E-04 -0.74382E-03 0.007406 0.553268E-06 0.999916 0.544350E-04 - 54 49255.1 0.20302E-04 0.21270E-06 0.000002 0.452428E-13 0.999916 0.445136E-11 - 55 51247.3 0.19513E-04 0.97679E-07 0.000001 0.954125E-14 0.999916 0.938747E-12 - 56 54348.4 0.18400E-04 0.27938E-07 0.000000 0.780541E-15 0.999916 0.767960E-13 - 57 54955.9 0.18196E-04 0.32501E-06 0.000003 0.105631E-12 0.999916 0.103929E-10 - 58 55477.1 0.18025E-04 0.89777E-06 0.000009 0.805984E-12 0.999916 0.792993E-10 - 59 57021.3 0.17537E-04 -0.11681E-03 0.001163 0.136452E-07 0.999917 0.134252E-05 - 60 60768.2 0.16456E-04 0.0000 0.000000 0.00000 0.999917 0.00000 - 61 63130.8 0.15840E-04 0.38278E-04 0.000381 0.146520E-08 0.999918 0.144158E-06 - 62 66686.6 0.14996E-04 0.87791E-07 0.000001 0.770719E-14 0.999918 0.758296E-12 - 63 67946.8 0.14717E-04 0.42406E-07 0.000000 0.179831E-14 0.999918 0.176932E-12 - 64 70752.1 0.14134E-04 -0.46500E-03 0.004630 0.216221E-06 0.999939 0.212736E-04 - 65 70853.7 0.14114E-04 -0.70526E-04 0.000702 0.497391E-08 0.999939 0.489374E-06 - 66 76710.5 0.13036E-04 -0.41374E-07 0.000000 0.171184E-14 0.999939 0.168425E-12 - 67 77072.6 0.12975E-04 -0.36916E-07 0.000000 0.136278E-14 0.999939 0.134082E-12 - 68 78957.8 0.12665E-04 -0.92222E-07 0.000001 0.850484E-14 0.999939 0.836776E-12 - 69 80083.4 0.12487E-04 -0.20337E-07 0.000000 0.413588E-15 0.999939 0.406922E-13 - 70 81881.7 0.12213E-04 0.96038E-04 0.000956 0.922329E-08 0.999940 0.907463E-06 - 71 82527.3 0.12117E-04 -0.77260E-08 0.000000 0.596916E-16 0.999940 0.587295E-14 - 72 84094.0 0.11891E-04 -0.16737E-03 0.001666 0.280124E-07 0.999943 0.275609E-05 - 73 86792.7 0.11522E-04 0.10388E-07 0.000000 0.107902E-15 0.999943 0.106163E-13 - 74 90233.7 0.11082E-04 -0.10539E-06 0.000001 0.111068E-13 0.999943 0.109278E-11 - 75 90740.5 0.11020E-04 0.0000 0.000000 0.00000 0.999943 0.00000 - 76 92987.0 0.10754E-04 0.10101E-06 0.000001 0.102038E-13 0.999943 0.100394E-11 - 77 93437.4 0.10702E-04 0.14795E-06 0.000001 0.218884E-13 0.999943 0.215356E-11 - 78 95165.1 0.10508E-04 0.96805E-08 0.000000 0.937129E-16 0.999943 0.922024E-14 - 79 97409.1 0.10266E-04 0.32410E-04 0.000323 0.105041E-08 0.999943 0.103348E-06 - 80 101164. 0.98849E-05 0.27124E-03 0.002701 0.735737E-07 0.999950 0.723878E-05 - 81 103783. 0.96355E-05 -0.33146E-08 0.000000 0.109865E-16 0.999950 0.108095E-14 - 82 104871. 0.95356E-05 0.87334E-08 0.000000 0.762719E-16 0.999950 0.750426E-14 - 83 113109. 0.88410E-05 -0.30791E-06 0.000003 0.948072E-13 0.999950 0.932791E-11 - 84 116561. 0.85792E-05 0.40124E-07 0.000000 0.160991E-14 0.999950 0.158396E-12 - 85 118247. 0.84569E-05 0.49832E-08 0.000000 0.248327E-16 0.999950 0.244324E-14 - 86 119128. 0.83943E-05 -0.67377E-06 0.000007 0.453971E-12 0.999950 0.446654E-10 - 87 121402. 0.82371E-05 0.25414E-06 0.000003 0.645881E-13 0.999950 0.635471E-11 - 88 123166. 0.81191E-05 -0.50280E-03 0.005006 0.252805E-06 0.999975 0.248730E-04 - 89 131770. 0.75890E-05 -0.59156E-08 0.000000 0.349946E-16 0.999975 0.344306E-14 - 90 133702. 0.74793E-05 -0.45732E-06 0.000005 0.209140E-12 0.999975 0.205769E-10 - 91 136693. 0.73156E-05 0.12376E-04 0.000123 0.153154E-09 0.999975 0.150685E-07 - 92 139839. 0.71511E-05 0.48561E-03 0.004835 0.235816E-06 0.999998 0.232015E-04 - 93 143987. 0.69451E-05 -0.63121E-08 0.000000 0.398427E-16 0.999998 0.392005E-14 - 94 147639. 0.67733E-05 0.73072E-06 0.000007 0.533947E-12 0.999998 0.525340E-10 - 95 151224. 0.66127E-05 -0.98559E-08 0.000000 0.971388E-16 0.999998 0.955731E-14 - 96 151612. 0.65958E-05 -0.78876E-04 0.000785 0.622137E-08 0.999999 0.612110E-06 - 97 155138. 0.64459E-05 -0.58339E-07 0.000001 0.340345E-14 0.999999 0.334860E-12 - 98 156319. 0.63972E-05 0.14494E-08 0.000000 0.210072E-17 0.999999 0.206686E-15 - 99 156721. 0.63808E-05 0.96189E-04 0.000958 0.925239E-08 1.00000 0.910325E-06 - 100 156997. 0.63695E-05 -0.26148E-08 0.000000 0.683744E-17 1.00000 0.672723E-15 - 101 157043. 0.63677E-05 0.10559E-06 0.000001 0.111497E-13 1.00000 0.109700E-11 - 102 168943. 0.59191E-05 -0.99658E-05 0.000099 0.993180E-10 1.00000 0.977171E-08 - ----------------------------------------------------------------------------------------------------------------- - sum 0.101549E-01 0.999118 - ----------------------------------------------------------------------------------------------------------------- - - - - ***** PARTICIPATION FACTOR CALCULATION ***** Y DIRECTION - CUMULATIVE RATIO EFF.MASS - MODE FREQUENCY PERIOD PARTIC.FACTOR RATIO EFFECTIVE MASS MASS FRACTION TO TOTAL MASS - 1 40.8578 0.24475E-01 0.26242E-06 0.000003 0.688664E-13 0.678280E-11 0.677564E-11 - 2 45.0168 0.22214E-01 0.34343E-06 0.000003 0.117946E-12 0.183995E-10 0.116045E-10 - 3 233.239 0.42874E-02 0.10055 1.000000 0.101102E-01 0.995773 0.994721 - 4 2194.65 0.45565E-03 0.47459E-02 0.047200 0.225240E-04 0.997991 0.221609E-02 - 5 3060.02 0.32679E-03 0.25170E-06 0.000003 0.633516E-13 0.997991 0.623305E-11 - 6 3117.40 0.32078E-03 -0.31878E-06 0.000003 0.101622E-12 0.997991 0.999836E-11 - 7 3720.24 0.26880E-03 0.22389E-06 0.000002 0.501258E-13 0.997991 0.493179E-11 - 8 4864.72 0.20556E-03 -0.20112E-07 0.000000 0.404483E-15 0.997991 0.397963E-13 - 9 6438.13 0.15532E-03 -0.82990E-06 0.000008 0.688740E-12 0.997991 0.677639E-10 - 10 6963.34 0.14361E-03 -0.24763E-02 0.024628 0.613214E-05 0.998595 0.603330E-03 - 11 8818.92 0.11339E-03 -0.94238E-07 0.000001 0.888083E-14 0.998595 0.873768E-12 - 12 9273.23 0.10784E-03 -0.91717E-03 0.009122 0.841193E-06 0.998678 0.827634E-04 - 13 9536.69 0.10486E-03 -0.30776E-05 0.000031 0.947169E-11 0.998678 0.931903E-09 - 14 10144.8 0.98572E-04 0.10054E-06 0.000001 0.101086E-13 0.998678 0.994566E-12 - 15 11064.0 0.90383E-04 -0.27513E-07 0.000000 0.756971E-15 0.998678 0.744770E-13 - 16 11541.5 0.86644E-04 0.15586E-06 0.000002 0.242934E-13 0.998678 0.239019E-11 - 17 12120.3 0.82506E-04 -0.56918E-07 0.000001 0.323968E-14 0.998678 0.318746E-12 - 18 12798.8 0.78132E-04 0.14803E-03 0.001472 0.219123E-07 0.998680 0.215592E-05 - 19 14124.0 0.70802E-04 -0.42403E-07 0.000000 0.179799E-14 0.998680 0.176901E-12 - 20 14445.7 0.69225E-04 0.10773E-06 0.000001 0.116053E-13 0.998680 0.114182E-11 - 21 14686.9 0.68088E-04 0.54957E-07 0.000001 0.302029E-14 0.998680 0.297161E-12 - 22 15970.9 0.62614E-04 0.27559E-06 0.000003 0.759494E-13 0.998680 0.747252E-11 - 23 16746.4 0.59714E-04 -0.15978E-06 0.000002 0.255291E-13 0.998680 0.251176E-11 - 24 18625.6 0.53689E-04 0.15450E-06 0.000002 0.238697E-13 0.998680 0.234849E-11 - 25 18972.4 0.52708E-04 -0.11787E-06 0.000001 0.138942E-13 0.998680 0.136703E-11 - 26 19773.4 0.50573E-04 0.24268E-02 0.024136 0.588940E-05 0.999260 0.579447E-03 - 27 20120.5 0.49701E-04 -0.13713E-05 0.000014 0.188034E-11 0.999260 0.185004E-09 - 28 21378.9 0.46775E-04 -0.23451E-03 0.002332 0.549950E-07 0.999266 0.541086E-05 - 29 23634.5 0.42311E-04 -0.46253E-05 0.000046 0.213934E-10 0.999266 0.210485E-08 - 30 23638.4 0.42304E-04 0.50746E-05 0.000050 0.257520E-10 0.999266 0.253369E-08 - 31 24108.1 0.41480E-04 0.24438E-02 0.024304 0.597215E-05 0.999854 0.587589E-03 - 32 24610.7 0.40633E-04 0.95209E-06 0.000009 0.906477E-12 0.999854 0.891866E-10 - 33 24898.2 0.40164E-04 0.55718E-03 0.005541 0.310445E-06 0.999885 0.305441E-04 - 34 27154.4 0.36826E-04 -0.17398E-06 0.000002 0.302688E-13 0.999885 0.297809E-11 - 35 27531.9 0.36322E-04 -0.46554E-06 0.000005 0.216723E-12 0.999885 0.213230E-10 - 36 28157.9 0.35514E-04 -0.13511E-06 0.000001 0.182541E-13 0.999885 0.179599E-11 - 37 28222.7 0.35432E-04 -0.60558E-06 0.000006 0.366724E-12 0.999885 0.360814E-10 - 38 28360.3 0.35261E-04 0.42198E-07 0.000000 0.178068E-14 0.999885 0.175198E-12 - 39 30894.9 0.32368E-04 0.57893E-08 0.000000 0.335161E-16 0.999885 0.329759E-14 - 40 32053.8 0.31198E-04 0.13415E-06 0.000001 0.179958E-13 0.999885 0.177057E-11 - 41 33226.9 0.30096E-04 0.11350E-06 0.000001 0.128824E-13 0.999885 0.126748E-11 - 42 33240.2 0.30084E-04 0.36375E-07 0.000000 0.132311E-14 0.999885 0.130179E-12 - 43 34570.9 0.28926E-04 -0.52357E-03 0.005207 0.274125E-06 0.999912 0.269706E-04 - 44 37255.5 0.26842E-04 -0.35874E-06 0.000004 0.128695E-12 0.999912 0.126620E-10 - 45 38447.4 0.26010E-04 0.31927E-07 0.000000 0.101936E-14 0.999912 0.100293E-12 - 46 38712.7 0.25831E-04 -0.44313E-05 0.000044 0.196362E-10 0.999912 0.193197E-08 - 47 39389.4 0.25388E-04 -0.39377E-03 0.003916 0.155057E-06 0.999927 0.152558E-04 - 48 41906.4 0.23863E-04 -0.86692E-06 0.000009 0.751542E-12 0.999927 0.739428E-10 - 49 42220.3 0.23685E-04 -0.21486E-03 0.002137 0.461639E-07 0.999931 0.454199E-05 - 50 42877.3 0.23322E-04 -0.16756E-05 0.000017 0.280762E-11 0.999931 0.276237E-09 - 51 46400.5 0.21552E-04 0.50267E-05 0.000050 0.252673E-10 0.999931 0.248600E-08 - 52 46978.1 0.21287E-04 -0.47992E-05 0.000048 0.230325E-10 0.999931 0.226613E-08 - 53 48298.0 0.20705E-04 0.67459E-06 0.000007 0.455077E-12 0.999931 0.447742E-10 - 54 49255.1 0.20302E-04 -0.87845E-07 0.000001 0.771675E-14 0.999931 0.759237E-12 - 55 51247.3 0.19513E-04 -0.42802E-06 0.000004 0.183199E-12 0.999931 0.180246E-10 - 56 54348.4 0.18400E-04 -0.12929E-05 0.000013 0.167148E-11 0.999931 0.164454E-09 - 57 54955.9 0.18196E-04 0.21275E-03 0.002116 0.452640E-07 0.999936 0.445345E-05 - 58 55477.1 0.18025E-04 0.57768E-03 0.005745 0.333712E-06 0.999969 0.328333E-04 - 59 57021.3 0.17537E-04 -0.95389E-07 0.000001 0.909914E-14 0.999969 0.895248E-12 - 60 60768.2 0.16456E-04 -0.10992E-07 0.000000 0.120826E-15 0.999969 0.118878E-13 - 61 63130.8 0.15840E-04 -0.98130E-06 0.000010 0.962953E-12 0.999969 0.947432E-10 - 62 66686.6 0.14996E-04 -0.13075E-05 0.000013 0.170968E-11 0.999969 0.168213E-09 - 63 67946.8 0.14717E-04 0.28462E-06 0.000003 0.810080E-13 0.999969 0.797023E-11 - 64 70752.1 0.14134E-04 -0.44182E-04 0.000439 0.195209E-08 0.999969 0.192062E-06 - 65 70853.7 0.14114E-04 0.30282E-03 0.003012 0.916984E-07 0.999978 0.902204E-05 - 66 76710.5 0.13036E-04 0.85004E-06 0.000008 0.722563E-12 0.999978 0.710917E-10 - 67 77072.6 0.12975E-04 0.59260E-07 0.000001 0.351169E-14 0.999978 0.345509E-12 - 68 78957.8 0.12665E-04 -0.21809E-03 0.002169 0.475631E-07 0.999983 0.467965E-05 - 69 80083.4 0.12487E-04 -0.25214E-06 0.000003 0.635734E-13 0.999983 0.625487E-11 - 70 81881.7 0.12213E-04 -0.10121E-05 0.000010 0.102436E-11 0.999983 0.100785E-09 - 71 82527.3 0.12117E-04 0.14856E-06 0.000001 0.220697E-13 0.999983 0.217140E-11 - 72 84094.0 0.11891E-04 0.79496E-06 0.000008 0.631954E-12 0.999983 0.621768E-10 - 73 86792.7 0.11522E-04 0.25827E-06 0.000003 0.667012E-13 0.999983 0.656261E-11 - 74 90233.7 0.11082E-04 -0.44780E-04 0.000445 0.200527E-08 0.999983 0.197295E-06 - 75 90740.5 0.11020E-04 0.0000 0.000000 0.00000 0.999983 0.00000 - 76 92987.0 0.10754E-04 -0.15016E-05 0.000015 0.225476E-11 0.999983 0.221842E-09 - 77 93437.4 0.10702E-04 -0.11117E-03 0.001106 0.123597E-07 0.999984 0.121605E-05 - 78 95165.1 0.10508E-04 0.32025E-08 0.000000 0.102559E-16 0.999984 0.100906E-14 - 79 97409.1 0.10266E-04 -0.39301E-06 0.000004 0.154455E-12 0.999984 0.151965E-10 - 80 101164. 0.98849E-05 -0.34959E-06 0.000003 0.122210E-12 0.999984 0.120240E-10 - 81 103783. 0.96355E-05 -0.15892E-06 0.000002 0.252548E-13 0.999984 0.248478E-11 - 82 104871. 0.95356E-05 0.48027E-07 0.000000 0.230657E-14 0.999984 0.226940E-12 - 83 113109. 0.88410E-05 -0.16985E-03 0.001689 0.288478E-07 0.999987 0.283828E-05 - 84 116561. 0.85792E-05 0.12025E-03 0.001196 0.144606E-07 0.999988 0.142275E-05 - 85 118247. 0.84569E-05 -0.43358E-08 0.000000 0.187991E-16 0.999988 0.184961E-14 - 86 119128. 0.83943E-05 0.53084E-05 0.000053 0.281794E-10 0.999988 0.277252E-08 - 87 121402. 0.82371E-05 -0.58609E-06 0.000006 0.343501E-12 0.999988 0.337964E-10 - 88 123166. 0.81191E-05 0.55376E-06 0.000006 0.306649E-12 0.999988 0.301707E-10 - 89 131770. 0.75890E-05 -0.14985E-07 0.000000 0.224565E-15 0.999988 0.220946E-13 - 90 133702. 0.74793E-05 -0.27918E-03 0.002777 0.779420E-07 0.999996 0.766857E-05 - 91 136693. 0.73156E-05 0.10798E-06 0.000001 0.116589E-13 0.999996 0.114710E-11 - 92 139839. 0.71511E-05 -0.13827E-05 0.000014 0.191196E-11 0.999996 0.188114E-09 - 93 143987. 0.69451E-05 0.26705E-08 0.000000 0.713153E-17 0.999996 0.701658E-15 - 94 147639. 0.67733E-05 -0.19018E-03 0.001891 0.361701E-07 1.00000 0.355871E-05 - 95 151224. 0.66127E-05 -0.23378E-07 0.000000 0.546550E-15 1.00000 0.537741E-13 - 96 151612. 0.65958E-05 0.49914E-06 0.000005 0.249146E-12 1.00000 0.245130E-10 - 97 155138. 0.64459E-05 -0.61194E-04 0.000609 0.374472E-08 1.00000 0.368436E-06 - 98 156319. 0.63972E-05 0.0000 0.000000 0.00000 1.00000 0.00000 - 99 156721. 0.63808E-05 -0.33141E-06 0.000003 0.109832E-12 1.00000 0.108061E-10 - 100 156997. 0.63695E-05 0.68253E-08 0.000000 0.465843E-16 1.00000 0.458334E-14 - 101 157043. 0.63677E-05 -0.70384E-05 0.000070 0.495396E-10 1.00000 0.487411E-08 - 102 168943. 0.59191E-05 -0.41973E-07 0.000000 0.176170E-14 1.00000 0.173331E-12 - ----------------------------------------------------------------------------------------------------------------- - sum 0.101531E-01 0.998944 - ----------------------------------------------------------------------------------------------------------------- - - - - ***** PARTICIPATION FACTOR CALCULATION ***** Z DIRECTION - CUMULATIVE RATIO EFF.MASS - MODE FREQUENCY PERIOD PARTIC.FACTOR RATIO EFFECTIVE MASS MASS FRACTION TO TOTAL MASS - 1 40.8578 0.24475E-01 0.23131E-04 0.000230 0.535037E-09 0.526964E-07 0.526414E-07 - 2 45.0168 0.22214E-01 0.10035 1.000000 0.100709E-01 0.991890 0.990854 - 3 233.239 0.42874E-02 -0.31683E-06 0.000003 0.100382E-12 0.991890 0.987638E-11 - 4 2194.65 0.45565E-03 0.20929E-06 0.000002 0.438020E-13 0.991890 0.430960E-11 - 5 3060.02 0.32679E-03 0.63307E-05 0.000063 0.400780E-10 0.991890 0.394320E-08 - 6 3117.40 0.32078E-03 0.78638E-02 0.078360 0.618388E-04 0.997981 0.608421E-02 - 7 3720.24 0.26880E-03 -0.35551E-06 0.000004 0.126390E-12 0.997981 0.124353E-10 - 8 4864.72 0.20556E-03 -0.15684E-02 0.015629 0.245989E-05 0.998223 0.242024E-03 - 9 6438.13 0.15532E-03 -0.21211E-06 0.000002 0.449905E-13 0.998223 0.442653E-11 - 10 6963.34 0.14361E-03 0.10621E-06 0.000001 0.112814E-13 0.998223 0.110995E-11 - 11 8818.92 0.11339E-03 -0.19383E-02 0.019315 0.375709E-05 0.998593 0.369654E-03 - 12 9273.23 0.10784E-03 0.34529E-06 0.000003 0.119228E-12 0.998593 0.117307E-10 - 13 9536.69 0.10486E-03 -0.13506E-06 0.000001 0.182405E-13 0.998593 0.179465E-11 - 14 10144.8 0.98572E-04 0.22142E-06 0.000002 0.490275E-13 0.998593 0.482373E-11 - 15 11064.0 0.90383E-04 0.65208E-07 0.000001 0.425210E-14 0.998593 0.418356E-12 - 16 11541.5 0.86644E-04 -0.16139E-06 0.000002 0.260465E-13 0.998593 0.256267E-11 - 17 12120.3 0.82506E-04 0.14469E-02 0.014418 0.209357E-05 0.998800 0.205983E-03 - 18 12798.8 0.78132E-04 0.90660E-07 0.000001 0.821928E-14 0.998800 0.808679E-12 - 19 14124.0 0.70802E-04 0.45315E-03 0.004516 0.205345E-06 0.998820 0.202035E-04 - 20 14445.7 0.69225E-04 -0.26478E-06 0.000003 0.701088E-13 0.998820 0.689788E-11 - 21 14686.9 0.68088E-04 0.38338E-06 0.000004 0.146981E-12 0.998820 0.144612E-10 - 22 15970.9 0.62614E-04 0.15166E-02 0.015113 0.230020E-05 0.999046 0.226312E-03 - 23 16746.4 0.59714E-04 0.35214E-06 0.000004 0.124002E-12 0.999046 0.122004E-10 - 24 18625.6 0.53689E-04 0.40673E-07 0.000000 0.165429E-14 0.999046 0.162763E-12 - 25 18972.4 0.52708E-04 -0.52249E-04 0.000521 0.272998E-08 0.999047 0.268598E-06 - 26 19773.4 0.50573E-04 0.20122E-07 0.000000 0.404892E-15 0.999047 0.398366E-13 - 27 20120.5 0.49701E-04 0.91255E-07 0.000001 0.832741E-14 0.999047 0.819319E-12 - 28 21378.9 0.46775E-04 -0.38189E-07 0.000000 0.145841E-14 0.999047 0.143490E-12 - 29 23634.5 0.42311E-04 -0.56420E-06 0.000006 0.318322E-12 0.999047 0.313192E-10 - 30 23638.4 0.42304E-04 0.43925E-06 0.000004 0.192941E-12 0.999047 0.189831E-10 - 31 24108.1 0.41480E-04 0.80846E-06 0.000008 0.653602E-12 0.999047 0.643067E-10 - 32 24610.7 0.40633E-04 -0.17813E-02 0.017751 0.317320E-05 0.999359 0.312205E-03 - 33 24898.2 0.40164E-04 -0.14764E-05 0.000015 0.217981E-11 0.999359 0.214467E-09 - 34 27154.4 0.36826E-04 0.10084E-05 0.000010 0.101689E-11 0.999359 0.100050E-09 - 35 27531.9 0.36322E-04 -0.19083E-05 0.000019 0.364161E-11 0.999359 0.358291E-09 - 36 28157.9 0.35514E-04 -0.49177E-05 0.000049 0.241839E-10 0.999359 0.237941E-08 - 37 28222.7 0.35432E-04 -0.24174E-05 0.000024 0.584390E-11 0.999359 0.574971E-09 - 38 28360.3 0.35261E-04 -0.22751E-02 0.022671 0.517610E-05 0.999869 0.509267E-03 - 39 30894.9 0.32368E-04 0.22445E-03 0.002237 0.503796E-07 0.999874 0.495675E-05 - 40 32053.8 0.31198E-04 0.84362E-04 0.000841 0.711692E-08 0.999875 0.700221E-06 - 41 33226.9 0.30096E-04 0.87336E-08 0.000000 0.762759E-16 0.999875 0.750465E-14 - 42 33240.2 0.30084E-04 -0.13738E-06 0.000001 0.188744E-13 0.999875 0.185702E-11 - 43 34570.9 0.28926E-04 -0.12137E-06 0.000001 0.147304E-13 0.999875 0.144930E-11 - 44 37255.5 0.26842E-04 -0.95586E-03 0.009525 0.913669E-06 0.999965 0.898942E-04 - 45 38447.4 0.26010E-04 -0.69736E-04 0.000695 0.486304E-08 0.999965 0.478466E-06 - 46 38712.7 0.25831E-04 -0.27970E-06 0.000003 0.782304E-13 0.999965 0.769695E-11 - 47 39389.4 0.25388E-04 0.37314E-06 0.000004 0.139234E-12 0.999965 0.136990E-10 - 48 41906.4 0.23863E-04 -0.24286E-07 0.000000 0.589806E-15 0.999965 0.580299E-13 - 49 42220.3 0.23685E-04 0.29406E-07 0.000000 0.864720E-15 0.999965 0.850782E-13 - 50 42877.3 0.23322E-04 -0.18671E-06 0.000002 0.348597E-13 0.999965 0.342978E-11 - 51 46400.5 0.21552E-04 -0.28344E-08 0.000000 0.803389E-17 0.999965 0.790440E-15 - 52 46978.1 0.21287E-04 0.66699E-07 0.000001 0.444870E-14 0.999965 0.437700E-12 - 53 48298.0 0.20705E-04 0.28293E-07 0.000000 0.800512E-15 0.999965 0.787609E-13 - 54 49255.1 0.20302E-04 0.25597E-07 0.000000 0.655226E-15 0.999965 0.644665E-13 - 55 51247.3 0.19513E-04 -0.29156E-03 0.002905 0.850086E-07 0.999973 0.836384E-05 - 56 54348.4 0.18400E-04 -0.21818E-03 0.002174 0.476035E-07 0.999978 0.468362E-05 - 57 54955.9 0.18196E-04 -0.10589E-05 0.000011 0.112120E-11 0.999978 0.110312E-09 - 58 55477.1 0.18025E-04 -0.28244E-06 0.000003 0.797730E-13 0.999978 0.784872E-11 - 59 57021.3 0.17537E-04 -0.35653E-07 0.000000 0.127110E-14 0.999978 0.125061E-12 - 60 60768.2 0.16456E-04 0.12225E-03 0.001218 0.149458E-07 0.999980 0.147049E-05 - 61 63130.8 0.15840E-04 0.98569E-07 0.000001 0.971586E-14 0.999980 0.955926E-12 - 62 66686.6 0.14996E-04 -0.29981E-07 0.000000 0.898883E-15 0.999980 0.884394E-13 - 63 67946.8 0.14717E-04 -0.11526E-06 0.000001 0.132842E-13 0.999980 0.130701E-11 - 64 70752.1 0.14134E-04 -0.92506E-07 0.000001 0.855741E-14 0.999980 0.841948E-12 - 65 70853.7 0.14114E-04 -0.61278E-07 0.000001 0.375502E-14 0.999980 0.369450E-12 - 66 76710.5 0.13036E-04 -0.14162E-05 0.000014 0.200567E-11 0.999980 0.197334E-09 - 67 77072.6 0.12975E-04 0.28538E-03 0.002844 0.814445E-07 0.999988 0.801318E-05 - 68 78957.8 0.12665E-04 0.44548E-07 0.000000 0.198452E-14 0.999988 0.195254E-12 - 69 80083.4 0.12487E-04 0.80712E-04 0.000804 0.651435E-08 0.999988 0.640935E-06 - 70 81881.7 0.12213E-04 0.43298E-07 0.000000 0.187472E-14 0.999988 0.184450E-12 - 71 82527.3 0.12117E-04 0.29482E-07 0.000000 0.869165E-15 0.999988 0.855155E-13 - 72 84094.0 0.11891E-04 -0.30489E-07 0.000000 0.929594E-15 0.999988 0.914610E-13 - 73 86792.7 0.11522E-04 0.54794E-07 0.000001 0.300235E-14 0.999988 0.295396E-12 - 74 90233.7 0.11082E-04 0.0000 0.000000 0.00000 0.999988 0.00000 - 75 90740.5 0.11020E-04 0.45464E-04 0.000453 0.206695E-08 0.999988 0.203364E-06 - 76 92987.0 0.10754E-04 -0.34263E-07 0.000000 0.117393E-14 0.999988 0.115500E-12 - 77 93437.4 0.10702E-04 -0.15018E-07 0.000000 0.225554E-15 0.999988 0.221918E-13 - 78 95165.1 0.10508E-04 -0.97132E-04 0.000968 0.943457E-08 0.999989 0.928250E-06 - 79 97409.1 0.10266E-04 0.0000 0.000000 0.00000 0.999989 0.00000 - 80 101164. 0.98849E-05 0.99502E-08 0.000000 0.990073E-16 0.999989 0.974115E-14 - 81 103783. 0.96355E-05 -0.76387E-04 0.000761 0.583497E-08 0.999990 0.574093E-06 - 82 104871. 0.95356E-05 0.54186E-07 0.000001 0.293616E-14 0.999990 0.288883E-12 - 83 113109. 0.88410E-05 -0.68115E-07 0.000001 0.463966E-14 0.999990 0.456488E-12 - 84 116561. 0.85792E-05 0.36925E-06 0.000004 0.136346E-12 0.999990 0.134148E-10 - 85 118247. 0.84569E-05 0.10711E-04 0.000107 0.114727E-09 0.999990 0.112877E-07 - 86 119128. 0.83943E-05 -0.89664E-06 0.000009 0.803965E-12 0.999990 0.791007E-10 - 87 121402. 0.82371E-05 -0.31526E-03 0.003142 0.993915E-07 1.00000 0.977895E-05 - 88 123166. 0.81191E-05 -0.17125E-06 0.000002 0.293281E-13 1.00000 0.288554E-11 - 89 131770. 0.75890E-05 -0.14183E-06 0.000001 0.201156E-13 1.00000 0.197914E-11 - 90 133702. 0.74793E-05 0.22782E-06 0.000002 0.519019E-13 1.00000 0.510653E-11 - 91 136693. 0.73156E-05 0.13429E-08 0.000000 0.180328E-17 1.00000 0.177422E-15 - 92 139839. 0.71511E-05 0.72795E-07 0.000001 0.529910E-14 1.00000 0.521369E-12 - 93 143987. 0.69451E-05 -0.45132E-04 0.000450 0.203687E-08 1.00000 0.200404E-06 - 94 147639. 0.67733E-05 0.14918E-06 0.000001 0.222533E-13 1.00000 0.218946E-11 - 95 151224. 0.66127E-05 -0.40036E-07 0.000000 0.160288E-14 1.00000 0.157704E-12 - 96 151612. 0.65958E-05 -0.26675E-07 0.000000 0.711555E-15 1.00000 0.700086E-13 - 97 155138. 0.64459E-05 0.93021E-07 0.000001 0.865297E-14 1.00000 0.851350E-12 - 98 156319. 0.63972E-05 0.20819E-07 0.000000 0.433424E-15 1.00000 0.426438E-13 - 99 156721. 0.63808E-05 0.15226E-07 0.000000 0.231834E-15 1.00000 0.228097E-13 - 100 156997. 0.63695E-05 -0.28846E-04 0.000287 0.832066E-09 1.00000 0.818654E-07 - 101 157043. 0.63677E-05 0.13223E-07 0.000000 0.174847E-15 1.00000 0.172029E-13 - 102 168943. 0.59191E-05 0.0000 0.000000 0.00000 1.00000 0.00000 - ----------------------------------------------------------------------------------------------------------------- - sum 0.101532E-01 0.998956 - ----------------------------------------------------------------------------------------------------------------- - - - - ***** PARTICIPATION FACTOR CALCULATION *****ROTX DIRECTION - CUMULATIVE RATIO EFF.MASS - MODE FREQUENCY PERIOD PARTIC.FACTOR RATIO EFFECTIVE MASS MASS FRACTION TO TOTAL MASS - 1 40.8578 0.24475E-01 0.69190E-03 0.000230 0.478729E-06 0.530080E-07 0.529572E-07 - 2 45.0168 0.22214E-01 3.0025 1.000000 9.01529 0.998234 0.997276 - 3 233.239 0.42874E-02 -0.10387E-04 0.000003 0.107900E-09 0.998234 0.119359E-10 - 4 2194.65 0.45565E-03 -0.36898E-05 0.000001 0.136146E-10 0.998234 0.150605E-11 - 5 3060.02 0.32679E-03 -0.64845E-04 0.000022 0.420493E-08 0.998234 0.465151E-09 - 6 3117.40 0.32078E-03 -0.78767E-01 0.026233 0.620418E-02 0.998921 0.686309E-03 - 7 3720.24 0.26880E-03 0.26201E-05 0.000001 0.686496E-11 0.998921 0.759405E-12 - 8 4864.72 0.20556E-03 -0.85742E-02 0.002856 0.735169E-04 0.998929 0.813247E-05 - 9 6438.13 0.15532E-03 0.16751E-05 0.000001 0.280612E-11 0.998929 0.310414E-12 - 10 6963.34 0.14361E-03 0.12604E-05 0.000000 0.158851E-11 0.998929 0.175721E-12 - 11 8818.92 0.11339E-03 0.40223E-01 0.013396 0.161789E-02 0.999108 0.178972E-03 - 12 9273.23 0.10784E-03 -0.49473E-05 0.000002 0.244756E-10 0.999108 0.270750E-11 - 13 9536.69 0.10486E-03 0.15835E-05 0.000001 0.250755E-11 0.999108 0.277386E-12 - 14 10144.8 0.98572E-04 -0.39315E-05 0.000001 0.154565E-10 0.999108 0.170981E-11 - 15 11064.0 0.90383E-04 -0.15371E-05 0.000001 0.236279E-11 0.999108 0.261373E-12 - 16 11541.5 0.86644E-04 0.43981E-05 0.000001 0.193432E-10 0.999108 0.213975E-11 - 17 12120.3 0.82506E-04 -0.34904E-01 0.011625 0.121828E-02 0.999243 0.134766E-03 - 18 12798.8 0.78132E-04 -0.13679E-05 0.000000 0.187105E-11 0.999243 0.206977E-12 - 19 14124.0 0.70802E-04 -0.11531E-01 0.003840 0.132956E-03 0.999258 0.147077E-04 - 20 14445.7 0.69225E-04 0.58448E-05 0.000002 0.341622E-10 0.999258 0.377904E-11 - 21 14686.9 0.68088E-04 -0.66086E-05 0.000002 0.436734E-10 0.999258 0.483117E-11 - 22 15970.9 0.62614E-04 -0.24913E-01 0.008297 0.620640E-03 0.999327 0.686554E-04 - 23 16746.4 0.59714E-04 -0.66100E-05 0.000002 0.436927E-10 0.999327 0.483331E-11 - 24 18625.6 0.53689E-04 -0.10178E-05 0.000000 0.103599E-11 0.999327 0.114602E-12 - 25 18972.4 0.52708E-04 -0.18548E-02 0.000618 0.344028E-05 0.999327 0.380565E-06 - 26 19773.4 0.50573E-04 -0.25443E-05 0.000001 0.647341E-11 0.999327 0.716092E-12 - 27 20120.5 0.49701E-04 -0.20860E-05 0.000001 0.435130E-11 0.999327 0.481342E-12 - 28 21378.9 0.46775E-04 0.55182E-06 0.000000 0.304502E-12 0.999327 0.336842E-13 - 29 23634.5 0.42311E-04 0.12557E-04 0.000004 0.157681E-09 0.999327 0.174427E-10 - 30 23638.4 0.42304E-04 -0.11669E-04 0.000004 0.136172E-09 0.999327 0.150635E-10 - 31 24108.1 0.41480E-04 -0.21059E-04 0.000007 0.443479E-09 0.999327 0.490579E-10 - 32 24610.7 0.40633E-04 0.42354E-01 0.014106 0.179384E-02 0.999526 0.198436E-03 - 33 24898.2 0.40164E-04 0.34172E-04 0.000011 0.116770E-08 0.999526 0.129172E-09 - 34 27154.4 0.36826E-04 -0.25075E-04 0.000008 0.628753E-09 0.999526 0.695529E-10 - 35 27531.9 0.36322E-04 0.49759E-04 0.000017 0.247592E-08 0.999526 0.273888E-09 - 36 28157.9 0.35514E-04 0.12896E-03 0.000043 0.166307E-07 0.999526 0.183969E-08 - 37 28222.7 0.35432E-04 0.63622E-04 0.000021 0.404779E-08 0.999526 0.447769E-09 - 38 28360.3 0.35261E-04 0.59733E-01 0.019894 0.356798E-02 0.999921 0.394692E-03 - 39 30894.9 0.32368E-04 -0.75242E-02 0.002506 0.566131E-04 0.999927 0.626257E-05 - 40 32053.8 0.31198E-04 -0.58655E-02 0.001953 0.344038E-04 0.999931 0.380576E-05 - 41 33226.9 0.30096E-04 -0.43535E-06 0.000000 0.189533E-12 0.999931 0.209663E-13 - 42 33240.2 0.30084E-04 0.37539E-05 0.000001 0.140917E-10 0.999931 0.155883E-11 - 43 34570.9 0.28926E-04 0.27646E-05 0.000001 0.764327E-11 0.999931 0.845502E-12 - 44 37255.5 0.26842E-04 0.20332E-01 0.006772 0.413382E-03 0.999976 0.457285E-04 - 45 38447.4 0.26010E-04 0.17930E-02 0.000597 0.321489E-05 0.999977 0.355633E-06 - 46 38712.7 0.25831E-04 0.55193E-05 0.000002 0.304621E-10 0.999977 0.336973E-11 - 47 39389.4 0.25388E-04 -0.78900E-05 0.000003 0.622525E-10 0.999977 0.688640E-11 - 48 41906.4 0.23863E-04 0.49994E-06 0.000000 0.249944E-12 0.999977 0.276490E-13 - 49 42220.3 0.23685E-04 -0.49245E-06 0.000000 0.242502E-12 0.999977 0.268257E-13 - 50 42877.3 0.23322E-04 0.45561E-05 0.000002 0.207582E-10 0.999977 0.229628E-11 - 51 46400.5 0.21552E-04 0.17904E-06 0.000000 0.320568E-13 0.999977 0.354614E-14 - 52 46978.1 0.21287E-04 -0.17375E-05 0.000001 0.301897E-11 0.999977 0.333960E-12 - 53 48298.0 0.20705E-04 -0.85757E-06 0.000000 0.735422E-12 0.999977 0.813528E-13 - 54 49255.1 0.20302E-04 -0.72201E-06 0.000000 0.521292E-12 0.999977 0.576655E-13 - 55 51247.3 0.19513E-04 0.67260E-02 0.002240 0.452395E-04 0.999982 0.500442E-05 - 56 54348.4 0.18400E-04 0.51926E-02 0.001729 0.269629E-04 0.999985 0.298265E-05 - 57 54955.9 0.18196E-04 0.24598E-04 0.000008 0.605050E-09 0.999985 0.669309E-10 - 58 55477.1 0.18025E-04 0.63712E-05 0.000002 0.405921E-10 0.999985 0.449031E-11 - 59 57021.3 0.17537E-04 0.74775E-06 0.000000 0.559123E-12 0.999985 0.618504E-13 - 60 60768.2 0.16456E-04 -0.30856E-02 0.001028 0.952096E-05 0.999986 0.105321E-05 - 61 63130.8 0.15840E-04 -0.24850E-05 0.000001 0.617538E-11 0.999986 0.683123E-12 - 62 66686.6 0.14996E-04 0.93536E-06 0.000000 0.874906E-12 0.999986 0.967824E-13 - 63 67946.8 0.14717E-04 0.29043E-05 0.000001 0.843482E-11 0.999986 0.933064E-12 - 64 70752.1 0.14134E-04 0.24554E-05 0.000001 0.602875E-11 0.999986 0.666903E-12 - 65 70853.7 0.14114E-04 0.13667E-05 0.000000 0.186794E-11 0.999986 0.206632E-12 - 66 76710.5 0.13036E-04 0.36199E-04 0.000012 0.131039E-08 0.999986 0.144956E-09 - 67 77072.6 0.12975E-04 -0.73230E-02 0.002439 0.536263E-04 0.999992 0.593216E-05 - 68 78957.8 0.12665E-04 -0.88458E-06 0.000000 0.782479E-12 0.999992 0.865581E-13 - 69 80083.4 0.12487E-04 -0.19391E-02 0.000646 0.376023E-05 0.999992 0.415958E-06 - 70 81881.7 0.12213E-04 -0.11421E-05 0.000000 0.130444E-11 0.999992 0.144297E-12 - 71 82527.3 0.12117E-04 -0.83823E-06 0.000000 0.702621E-12 0.999992 0.777243E-13 - 72 84094.0 0.11891E-04 0.81679E-06 0.000000 0.667147E-12 0.999992 0.738001E-13 - 73 86792.7 0.11522E-04 -0.15089E-05 0.000001 0.227670E-11 0.999992 0.251849E-12 - 74 90233.7 0.11082E-04 -0.43464E-07 0.000000 0.188913E-14 0.999992 0.208977E-15 - 75 90740.5 0.11020E-04 -0.11991E-02 0.000399 0.143777E-05 0.999992 0.159047E-06 - 76 92987.0 0.10754E-04 0.11625E-05 0.000000 0.135137E-11 0.999992 0.149489E-12 - 77 93437.4 0.10702E-04 0.38577E-06 0.000000 0.148819E-12 0.999992 0.164625E-13 - 78 95165.1 0.10508E-04 0.24999E-02 0.000833 0.624929E-05 0.999993 0.691300E-06 - 79 97409.1 0.10266E-04 -0.62593E-07 0.000000 0.391787E-14 0.999993 0.433396E-15 - 80 101164. 0.98849E-05 -0.29398E-06 0.000000 0.864238E-13 0.999993 0.956024E-14 - 81 103783. 0.96355E-05 0.18349E-02 0.000611 0.336688E-05 0.999993 0.372446E-06 - 82 104871. 0.95356E-05 -0.13548E-05 0.000000 0.183543E-11 0.999993 0.203036E-12 - 83 113109. 0.88410E-05 0.15870E-05 0.000001 0.251865E-11 0.999993 0.278614E-12 - 84 116561. 0.85792E-05 -0.89805E-05 0.000003 0.806489E-10 0.999993 0.892141E-11 - 85 118247. 0.84569E-05 -0.30441E-03 0.000101 0.926671E-07 0.999993 0.102509E-07 - 86 119128. 0.83943E-05 0.20114E-04 0.000007 0.404577E-09 0.999993 0.447544E-10 - 87 121402. 0.82371E-05 0.75481E-02 0.002514 0.569733E-04 1.00000 0.630241E-05 - 88 123166. 0.81191E-05 0.42334E-05 0.000001 0.179213E-10 1.00000 0.198247E-11 - 89 131770. 0.75890E-05 0.34096E-05 0.000001 0.116253E-10 1.00000 0.128600E-11 - 90 133702. 0.74793E-05 -0.55330E-05 0.000002 0.306136E-10 1.00000 0.338649E-11 - 91 136693. 0.73156E-05 0.35966E-08 0.000000 0.129353E-16 1.00000 0.143090E-17 - 92 139839. 0.71511E-05 -0.19134E-05 0.000001 0.366110E-11 1.00000 0.404993E-12 - 93 143987. 0.69451E-05 0.11964E-02 0.000398 0.143128E-05 1.00000 0.158328E-06 - 94 147639. 0.67733E-05 -0.36125E-05 0.000001 0.130505E-10 1.00000 0.144365E-11 - 95 151224. 0.66127E-05 0.95096E-06 0.000000 0.904316E-12 1.00000 0.100036E-12 - 96 151612. 0.65958E-05 0.69385E-06 0.000000 0.481424E-12 1.00000 0.532553E-13 - 97 155138. 0.64459E-05 -0.21639E-05 0.000001 0.468227E-11 1.00000 0.517955E-12 - 98 156319. 0.63972E-05 -0.49953E-06 0.000000 0.249534E-12 1.00000 0.276036E-13 - 99 156721. 0.63808E-05 -0.40491E-06 0.000000 0.163949E-12 1.00000 0.181361E-13 - 100 156997. 0.63695E-05 0.75637E-03 0.000252 0.572094E-06 1.00000 0.632853E-07 - 101 157043. 0.63677E-05 -0.28080E-06 0.000000 0.788480E-13 1.00000 0.872219E-14 - 102 168943. 0.59191E-05 0.71350E-08 0.000000 0.509082E-16 1.00000 0.563149E-17 - ----------------------------------------------------------------------------------------------------------------- - sum 9.03124 0.999040 - ----------------------------------------------------------------------------------------------------------------- - - - - ***** PARTICIPATION FACTOR CALCULATION *****ROTY DIRECTION - CUMULATIVE RATIO EFF.MASS - MODE FREQUENCY PERIOD PARTIC.FACTOR RATIO EFFECTIVE MASS MASS FRACTION TO TOTAL MASS - 1 40.8578 0.24475E-01 0.30531E-06 0.000001 0.932155E-13 0.999247E-12 0.996062E-12 - 2 45.0168 0.22214E-01 -0.14522E-06 0.000000 0.210901E-13 0.122533E-11 0.225360E-12 - 3 233.239 0.42874E-02 0.41740E-06 0.000001 0.174223E-12 0.309295E-11 0.186167E-11 - 4 2194.65 0.45565E-03 0.13377E-04 0.000045 0.178940E-09 0.192129E-08 0.191208E-08 - 5 3060.02 0.32679E-03 -0.30017 1.000000 0.901010E-01 0.965860 0.962781 - 6 3117.40 0.32078E-03 0.24100E-03 0.000803 0.580811E-07 0.965860 0.620630E-06 - 7 3720.24 0.26880E-03 -0.26026E-04 0.000087 0.677368E-09 0.965860 0.723807E-08 - 8 4864.72 0.20556E-03 -0.71578E-05 0.000024 0.512338E-10 0.965860 0.547463E-09 - 9 6438.13 0.15532E-03 -0.43137E-05 0.000014 0.186084E-10 0.965860 0.198842E-09 - 10 6963.34 0.14361E-03 0.78458E-05 0.000026 0.615563E-10 0.965860 0.657765E-09 - 11 8818.92 0.11339E-03 -0.11016E-04 0.000037 0.121341E-09 0.965860 0.129660E-08 - 12 9273.23 0.10784E-03 -0.46836E-05 0.000016 0.219357E-10 0.965860 0.234396E-09 - 13 9536.69 0.10486E-03 0.15750E-05 0.000005 0.248064E-11 0.965860 0.265071E-10 - 14 10144.8 0.98572E-04 -0.42782E-01 0.142526 0.183028E-02 0.985480 0.195576E-01 - 15 11064.0 0.90383E-04 0.21175E-01 0.070543 0.448371E-03 0.990287 0.479110E-02 - 16 11541.5 0.86644E-04 -0.50332E-07 0.000000 0.253329E-14 0.990287 0.270697E-13 - 17 12120.3 0.82506E-04 -0.10165E-04 0.000034 0.103324E-09 0.990287 0.110408E-08 - 18 12798.8 0.78132E-04 -0.21881E-05 0.000007 0.478794E-11 0.990287 0.511619E-10 - 19 14124.0 0.70802E-04 0.15269E-05 0.000005 0.233147E-11 0.990287 0.249131E-10 - 20 14445.7 0.69225E-04 -0.11637E-05 0.000004 0.135415E-11 0.990287 0.144699E-10 - 21 14686.9 0.68088E-04 -0.42418E-02 0.014131 0.179930E-04 0.990480 0.192266E-03 - 22 15970.9 0.62614E-04 0.36394E-05 0.000012 0.132450E-10 0.990480 0.141530E-09 - 23 16746.4 0.59714E-04 0.13264E-01 0.044190 0.175943E-03 0.992366 0.188005E-02 - 24 18625.6 0.53689E-04 0.66669E-07 0.000000 0.444470E-14 0.992366 0.474942E-13 - 25 18972.4 0.52708E-04 -0.18396E-05 0.000006 0.338410E-11 0.992366 0.361611E-10 - 26 19773.4 0.50573E-04 0.20287E-05 0.000007 0.411555E-11 0.992366 0.439771E-10 - 27 20120.5 0.49701E-04 0.52116E-02 0.017362 0.271603E-04 0.992657 0.290223E-03 - 28 21378.9 0.46775E-04 0.23984E-06 0.000001 0.575254E-13 0.992657 0.614692E-12 - 29 23634.5 0.42311E-04 -0.13561E-01 0.045177 0.183896E-03 0.994628 0.196504E-02 - 30 23638.4 0.42304E-04 -0.10854E-02 0.003616 0.117808E-05 0.994641 0.125885E-04 - 31 24108.1 0.41480E-04 -0.26624E-04 0.000089 0.708826E-09 0.994641 0.757422E-08 - 32 24610.7 0.40633E-04 0.10076E-04 0.000034 0.101531E-09 0.994641 0.108491E-08 - 33 24898.2 0.40164E-04 -0.33794E-05 0.000011 0.114203E-10 0.994641 0.122033E-09 - 34 27154.4 0.36826E-04 -0.96188E-06 0.000003 0.925207E-12 0.994641 0.988638E-11 - 35 27531.9 0.36322E-04 -0.19893E-01 0.066273 0.395732E-03 0.998883 0.422863E-02 - 36 28157.9 0.35514E-04 -0.93273E-02 0.031074 0.869984E-04 0.999816 0.929629E-03 - 37 28222.7 0.35432E-04 0.87106E-06 0.000003 0.758739E-12 0.999816 0.810757E-11 - 38 28360.3 0.35261E-04 0.32902E-04 0.000110 0.108253E-08 0.999816 0.115675E-07 - 39 30894.9 0.32368E-04 -0.15673E-05 0.000005 0.245633E-11 0.999816 0.262474E-10 - 40 32053.8 0.31198E-04 -0.11959E-05 0.000004 0.143028E-11 0.999816 0.152834E-10 - 41 33226.9 0.30096E-04 -0.65861E-05 0.000022 0.433769E-10 0.999816 0.463508E-09 - 42 33240.2 0.30084E-04 -0.45022E-03 0.001500 0.202699E-06 0.999818 0.216595E-05 - 43 34570.9 0.28926E-04 0.59654E-06 0.000002 0.355864E-12 0.999818 0.380261E-11 - 44 37255.5 0.26842E-04 -0.22545E-05 0.000008 0.508298E-11 0.999818 0.543146E-10 - 45 38447.4 0.26010E-04 -0.68104E-05 0.000023 0.463810E-10 0.999818 0.495608E-09 - 46 38712.7 0.25831E-04 -0.24613E-02 0.008200 0.605781E-05 0.999883 0.647313E-04 - 47 39389.4 0.25388E-04 0.12350E-04 0.000041 0.152513E-09 0.999883 0.162969E-08 - 48 41906.4 0.23863E-04 -0.37891E-08 0.000000 0.143570E-16 0.999883 0.153413E-15 - 49 42220.3 0.23685E-04 0.47349E-06 0.000002 0.224195E-12 0.999883 0.239565E-11 - 50 42877.3 0.23322E-04 -0.10552E-02 0.003515 0.111349E-05 0.999895 0.118983E-04 - 51 46400.5 0.21552E-04 0.17300E-06 0.000001 0.299293E-13 0.999895 0.319812E-12 - 52 46978.1 0.21287E-04 0.43953E-06 0.000001 0.193191E-12 0.999895 0.206436E-11 - 53 48298.0 0.20705E-04 0.35185E-06 0.000001 0.123801E-12 0.999895 0.132289E-11 - 54 49255.1 0.20302E-04 -0.12907E-02 0.004300 0.166587E-05 0.999913 0.178008E-04 - 55 51247.3 0.19513E-04 0.24035E-07 0.000000 0.577681E-15 0.999913 0.617286E-14 - 56 54348.4 0.18400E-04 -0.68297E-06 0.000002 0.466446E-12 0.999913 0.498425E-11 - 57 54955.9 0.18196E-04 -0.47591E-05 0.000016 0.226490E-10 0.999913 0.242018E-09 - 58 55477.1 0.18025E-04 -0.52925E-06 0.000002 0.280101E-12 0.999913 0.299304E-11 - 59 57021.3 0.17537E-04 -0.53500E-06 0.000002 0.286221E-12 0.999913 0.305844E-11 - 60 60768.2 0.16456E-04 -0.49733E-06 0.000002 0.247338E-12 0.999913 0.264295E-11 - 61 63130.8 0.15840E-04 0.99416E-06 0.000003 0.988351E-12 0.999913 0.105611E-10 - 62 66686.6 0.14996E-04 -0.18461E-05 0.000006 0.340817E-11 0.999913 0.364183E-10 - 63 67946.8 0.14717E-04 0.17555E-02 0.005848 0.308170E-05 0.999946 0.329298E-04 - 64 70752.1 0.14134E-04 -0.96359E-07 0.000000 0.928509E-14 0.999946 0.992166E-13 - 65 70853.7 0.14114E-04 -0.59360E-06 0.000002 0.352365E-12 0.999946 0.376522E-11 - 66 76710.5 0.13036E-04 -0.79210E-03 0.002639 0.627421E-06 0.999952 0.670436E-05 - 67 77072.6 0.12975E-04 -0.41542E-05 0.000014 0.172572E-10 0.999952 0.184403E-09 - 68 78957.8 0.12665E-04 0.26833E-05 0.000009 0.720008E-11 0.999952 0.769370E-10 - 69 80083.4 0.12487E-04 0.67419E-06 0.000002 0.454531E-12 0.999952 0.485693E-11 - 70 81881.7 0.12213E-04 0.56635E-06 0.000002 0.320754E-12 0.999952 0.342744E-11 - 71 82527.3 0.12117E-04 -0.96419E-03 0.003212 0.929659E-06 0.999962 0.993395E-05 - 72 84094.0 0.11891E-04 -0.30153E-06 0.000001 0.909213E-13 0.999962 0.971547E-12 - 73 86792.7 0.11522E-04 -0.14976E-02 0.004989 0.224266E-05 0.999986 0.239641E-04 - 74 90233.7 0.11082E-04 -0.18148E-07 0.000000 0.329353E-15 0.999986 0.351933E-14 - 75 90740.5 0.11020E-04 0.39680E-06 0.000001 0.157452E-12 0.999986 0.168246E-11 - 76 92987.0 0.10754E-04 0.19928E-03 0.000664 0.397130E-07 0.999987 0.424357E-06 - 77 93437.4 0.10702E-04 0.23632E-06 0.000001 0.558460E-13 0.999987 0.596747E-12 - 78 95165.1 0.10508E-04 0.21664E-06 0.000001 0.469326E-13 0.999987 0.501502E-12 - 79 97409.1 0.10266E-04 -0.35367E-06 0.000001 0.125081E-12 0.999987 0.133657E-11 - 80 101164. 0.98849E-05 0.23337E-06 0.000001 0.544620E-13 0.999987 0.581958E-12 - 81 103783. 0.96355E-05 -0.81894E-06 0.000003 0.670669E-12 0.999987 0.716649E-11 - 82 104871. 0.95356E-05 -0.28307E-03 0.000943 0.801267E-07 0.999988 0.856200E-06 - 83 113109. 0.88410E-05 -0.60517E-06 0.000002 0.366233E-12 0.999988 0.391342E-11 - 84 116561. 0.85792E-05 -0.13932E-04 0.000046 0.194114E-09 0.999988 0.207422E-08 - 85 118247. 0.84569E-05 0.36393E-05 0.000012 0.132448E-10 0.999988 0.141528E-09 - 86 119128. 0.83943E-05 -0.10418E-02 0.003471 0.108535E-05 0.999999 0.115976E-04 - 87 121402. 0.82371E-05 0.23353E-06 0.000001 0.545383E-13 0.999999 0.582773E-12 - 88 123166. 0.81191E-05 0.24598E-07 0.000000 0.605060E-15 0.999999 0.646541E-14 - 89 131770. 0.75890E-05 -0.10321E-03 0.000344 0.106525E-07 0.999999 0.113828E-06 - 90 133702. 0.74793E-05 0.71345E-06 0.000002 0.509016E-12 0.999999 0.543913E-11 - 91 136693. 0.73156E-05 -0.93093E-07 0.000000 0.866639E-14 0.999999 0.926054E-13 - 92 139839. 0.71511E-05 0.20992E-06 0.000001 0.440667E-13 0.999999 0.470878E-12 - 93 143987. 0.69451E-05 0.16318E-07 0.000000 0.266290E-15 0.999999 0.284546E-14 - 94 147639. 0.67733E-05 0.38590E-06 0.000001 0.148918E-12 0.999999 0.159128E-11 - 95 151224. 0.66127E-05 -0.23979E-03 0.000799 0.575004E-07 1.00000 0.614426E-06 - 96 151612. 0.65958E-05 -0.55094E-08 0.000000 0.303535E-16 1.00000 0.324345E-15 - 97 155138. 0.64459E-05 -0.36714E-06 0.000001 0.134789E-12 1.00000 0.144030E-11 - 98 156319. 0.63972E-05 0.26898E-04 0.000090 0.723505E-09 1.00000 0.773108E-08 - 99 156721. 0.63808E-05 0.52650E-07 0.000000 0.277204E-14 1.00000 0.296209E-13 - 100 156997. 0.63695E-05 0.15421E-07 0.000000 0.237798E-15 1.00000 0.254101E-14 - 101 157043. 0.63677E-05 0.42134E-07 0.000000 0.177526E-14 1.00000 0.189696E-13 - 102 168943. 0.59191E-05 -0.96124E-08 0.000000 0.923980E-16 1.00000 0.987327E-15 - ----------------------------------------------------------------------------------------------------------------- - sum 0.932858E-01 0.996813 - ----------------------------------------------------------------------------------------------------------------- - - - - ***** PARTICIPATION FACTOR CALCULATION *****ROTZ DIRECTION - CUMULATIVE RATIO EFF.MASS - MODE FREQUENCY PERIOD PARTIC.FACTOR RATIO EFFECTIVE MASS MASS FRACTION TO TOTAL MASS - 1 40.8578 0.24475E-01 -3.0093 1.000000 9.05582 0.993184 0.992384 - 2 45.0168 0.22214E-01 0.69345E-03 0.000230 0.480866E-06 0.993184 0.526958E-07 - 3 233.239 0.42874E-02 0.75672E-05 0.000003 0.572621E-10 0.993184 0.627508E-11 - 4 2194.65 0.45565E-03 0.62068E-05 0.000002 0.385240E-10 0.993184 0.422166E-11 - 5 3060.02 0.32679E-03 0.10301E-04 0.000003 0.106108E-09 0.993184 0.116279E-10 - 6 3117.40 0.32078E-03 -0.54724E-05 0.000002 0.299471E-10 0.993184 0.328176E-11 - 7 3720.24 0.26880E-03 -0.12326 0.040959 0.151925E-01 0.994851 0.166487E-02 - 8 4864.72 0.20556E-03 -0.25067E-06 0.000000 0.628375E-13 0.994851 0.688607E-14 - 9 6438.13 0.15532E-03 -0.30840E-01 0.010248 0.951081E-03 0.994955 0.104225E-03 - 10 6963.34 0.14361E-03 -0.25067E-05 0.000001 0.628334E-11 0.994955 0.688561E-12 - 11 8818.92 0.11339E-03 0.16988E-05 0.000001 0.288588E-11 0.994955 0.316250E-12 - 12 9273.23 0.10784E-03 -0.77151E-04 0.000026 0.595234E-08 0.994955 0.652289E-09 - 13 9536.69 0.10486E-03 0.35997E-01 0.011962 0.129577E-02 0.995097 0.141997E-03 - 14 10144.8 0.98572E-04 0.14509E-05 0.000000 0.210518E-11 0.995097 0.230696E-12 - 15 11064.0 0.90383E-04 0.10573E-04 0.000004 0.111794E-09 0.995097 0.122510E-10 - 16 11541.5 0.86644E-04 0.15225 0.050593 0.231793E-01 0.997639 0.254011E-02 - 17 12120.3 0.82506E-04 0.23716E-04 0.000008 0.562429E-09 0.997639 0.616339E-10 - 18 12798.8 0.78132E-04 0.20633E-04 0.000007 0.425712E-09 0.997639 0.466518E-10 - 19 14124.0 0.70802E-04 -0.35665E-04 0.000012 0.127199E-08 0.997639 0.139391E-09 - 20 14445.7 0.69225E-04 -0.61225E-01 0.020345 0.374854E-02 0.998050 0.410785E-03 - 21 14686.9 0.68088E-04 0.13780E-04 0.000005 0.189894E-09 0.998050 0.208096E-10 - 22 15970.9 0.62614E-04 -0.37702E-05 0.000001 0.142142E-10 0.998050 0.155766E-11 - 23 16746.4 0.59714E-04 -0.26191E-05 0.000001 0.685949E-11 0.998050 0.751699E-12 - 24 18625.6 0.53689E-04 0.43987E-01 0.014617 0.193487E-02 0.998262 0.212033E-03 - 25 18972.4 0.52708E-04 0.12106E-06 0.000000 0.146563E-13 0.998262 0.160612E-14 - 26 19773.4 0.50573E-04 -0.69727E-05 0.000002 0.486179E-10 0.998262 0.532780E-11 - 27 20120.5 0.49701E-04 -0.22998E-05 0.000001 0.528922E-11 0.998262 0.579620E-12 - 28 21378.9 0.46775E-04 -0.15103E-04 0.000005 0.228104E-09 0.998262 0.249968E-10 - 29 23634.5 0.42311E-04 0.55552E-02 0.001846 0.308607E-04 0.998266 0.338188E-05 - 30 23638.4 0.42304E-04 -0.69617E-01 0.023134 0.484647E-02 0.998797 0.531102E-03 - 31 24108.1 0.41480E-04 0.15192E-03 0.000050 0.230807E-07 0.998797 0.252931E-08 - 32 24610.7 0.40633E-04 -0.16758E-04 0.000006 0.280840E-09 0.998797 0.307760E-10 - 33 24898.2 0.40164E-04 0.81368E-04 0.000027 0.662082E-08 0.998797 0.725544E-09 - 34 27154.4 0.36826E-04 0.23765E-01 0.007897 0.564759E-03 0.998859 0.618893E-04 - 35 27531.9 0.36322E-04 -0.45537E-05 0.000002 0.207360E-10 0.998859 0.227236E-11 - 36 28157.9 0.35514E-04 0.10448E-05 0.000000 0.109168E-11 0.998859 0.119632E-12 - 37 28222.7 0.35432E-04 0.80061E-01 0.026605 0.640974E-02 0.999562 0.702413E-03 - 38 28360.3 0.35261E-04 -0.80473E-04 0.000027 0.647596E-08 0.999562 0.709670E-09 - 39 30894.9 0.32368E-04 0.21283E-05 0.000001 0.452950E-11 0.999562 0.496367E-12 - 40 32053.8 0.31198E-04 -0.12059E-04 0.000004 0.145421E-09 0.999562 0.159360E-10 - 41 33226.9 0.30096E-04 0.43307E-01 0.014391 0.187553E-02 0.999768 0.205531E-03 - 42 33240.2 0.30084E-04 -0.61301E-03 0.000204 0.375779E-06 0.999768 0.411798E-07 - 43 34570.9 0.28926E-04 0.40647E-05 0.000001 0.165217E-10 0.999768 0.181054E-11 - 44 37255.5 0.26842E-04 0.25798E-05 0.000001 0.665546E-11 0.999768 0.729340E-12 - 45 38447.4 0.26010E-04 -0.18478E-05 0.000001 0.341429E-11 0.999768 0.374156E-12 - 46 38712.7 0.25831E-04 -0.13061E-04 0.000004 0.170599E-09 0.999768 0.186951E-10 - 47 39389.4 0.25388E-04 0.10460E-06 0.000000 0.109412E-13 0.999768 0.119899E-14 - 48 41906.4 0.23863E-04 -0.30917E-01 0.010274 0.955877E-03 0.999873 0.104750E-03 - 49 42220.3 0.23685E-04 -0.53629E-04 0.000018 0.287612E-08 0.999873 0.315180E-09 - 50 42877.3 0.23322E-04 0.18730E-04 0.000006 0.350817E-09 0.999873 0.384444E-10 - 51 46400.5 0.21552E-04 0.11316E-02 0.000376 0.128063E-05 0.999873 0.140338E-06 - 52 46978.1 0.21287E-04 0.78928E-02 0.002623 0.622971E-04 0.999880 0.682684E-05 - 53 48298.0 0.20705E-04 -0.17602E-01 0.005849 0.309832E-03 0.999914 0.339530E-04 - 54 49255.1 0.20302E-04 0.55073E-05 0.000002 0.303306E-10 0.999914 0.332379E-11 - 55 51247.3 0.19513E-04 0.17942E-05 0.000001 0.321929E-11 0.999914 0.352786E-12 - 56 54348.4 0.18400E-04 0.46376E-06 0.000000 0.215077E-12 0.999914 0.235693E-13 - 57 54955.9 0.18196E-04 0.20313E-04 0.000007 0.412614E-09 0.999914 0.452164E-10 - 58 55477.1 0.18025E-04 0.26405E-04 0.000009 0.697223E-09 0.999914 0.764054E-10 - 59 57021.3 0.17537E-04 -0.39605E-02 0.001316 0.156855E-04 0.999916 0.171890E-05 - 60 60768.2 0.16456E-04 -0.83226E-07 0.000000 0.692665E-14 0.999916 0.759059E-15 - 61 63130.8 0.15840E-04 0.45553E-02 0.001514 0.207507E-04 0.999918 0.227397E-05 - 62 66686.6 0.14996E-04 0.18017E-05 0.000001 0.324623E-11 0.999918 0.355739E-12 - 63 67946.8 0.14717E-04 0.17640E-05 0.000001 0.311176E-11 0.999918 0.341003E-12 - 64 70752.1 0.14134E-04 -0.14368E-01 0.004775 0.206448E-03 0.999940 0.226236E-04 - 65 70853.7 0.14114E-04 -0.21884E-02 0.000727 0.478921E-05 0.999941 0.524827E-06 - 66 76710.5 0.13036E-04 -0.14112E-05 0.000000 0.199136E-11 0.999941 0.218223E-12 - 67 77072.6 0.12975E-04 -0.12403E-05 0.000000 0.153838E-11 0.999941 0.168584E-12 - 68 78957.8 0.12665E-04 -0.51843E-05 0.000002 0.268773E-10 0.999941 0.294535E-11 - 69 80083.4 0.12487E-04 -0.53543E-06 0.000000 0.286687E-12 0.999941 0.314167E-13 - 70 81881.7 0.12213E-04 0.36762E-02 0.001222 0.135148E-04 0.999943 0.148102E-05 - 71 82527.3 0.12117E-04 -0.18916E-06 0.000000 0.357830E-13 0.999943 0.392129E-14 - 72 84094.0 0.11891E-04 -0.54624E-02 0.001815 0.298373E-04 0.999946 0.326973E-05 - 73 86792.7 0.11522E-04 0.19346E-06 0.000000 0.374277E-13 0.999946 0.410152E-14 - 74 90233.7 0.11082E-04 -0.35039E-05 0.000001 0.122771E-10 0.999946 0.134538E-11 - 75 90740.5 0.11020E-04 0.44206E-07 0.000000 0.195420E-14 0.999946 0.214151E-15 - 76 92987.0 0.10754E-04 0.32505E-05 0.000001 0.105661E-10 0.999946 0.115788E-11 - 77 93437.4 0.10702E-04 0.71976E-05 0.000002 0.518050E-10 0.999946 0.567707E-11 - 78 95165.1 0.10508E-04 0.34470E-06 0.000000 0.118820E-12 0.999946 0.130210E-13 - 79 97409.1 0.10266E-04 0.28744E-03 0.000096 0.826201E-07 0.999946 0.905394E-08 - 80 101164. 0.98849E-05 0.79131E-02 0.002630 0.626179E-04 0.999953 0.686200E-05 - 81 103783. 0.96355E-05 -0.26467E-06 0.000000 0.700486E-13 0.999953 0.767629E-14 - 82 104871. 0.95356E-05 0.18861E-06 0.000000 0.355733E-13 0.999953 0.389831E-14 - 83 113109. 0.88410E-05 -0.74354E-05 0.000002 0.552854E-10 0.999953 0.605846E-11 - 84 116561. 0.85792E-05 0.23495E-05 0.000001 0.552018E-11 0.999953 0.604930E-12 - 85 118247. 0.84569E-05 0.17349E-06 0.000000 0.300980E-13 0.999953 0.329830E-14 - 86 119128. 0.83943E-05 -0.20787E-04 0.000007 0.432118E-09 0.999953 0.473538E-10 - 87 121402. 0.82371E-05 0.67542E-05 0.000002 0.456198E-10 0.999953 0.499925E-11 - 88 123166. 0.81191E-05 -0.14581E-01 0.004845 0.212604E-03 0.999976 0.232983E-04 - 89 131770. 0.75890E-05 -0.14882E-06 0.000000 0.221462E-13 0.999976 0.242689E-14 - 90 133702. 0.74793E-05 -0.10667E-04 0.000004 0.113777E-09 0.999976 0.124682E-10 - 91 136693. 0.73156E-05 0.72569E-03 0.000241 0.526624E-06 0.999976 0.577103E-07 - 92 139839. 0.71511E-05 0.14283E-01 0.004746 0.203996E-03 0.999998 0.223550E-04 - 93 143987. 0.69451E-05 -0.18700E-06 0.000000 0.349705E-13 0.999998 0.383225E-14 - 94 147639. 0.67733E-05 0.24150E-04 0.000008 0.583246E-09 0.999998 0.639152E-10 - 95 151224. 0.66127E-05 -0.29374E-06 0.000000 0.862825E-13 0.999998 0.945529E-14 - 96 151612. 0.65958E-05 -0.24924E-02 0.000828 0.621226E-05 0.999999 0.680772E-06 - 97 155138. 0.64459E-05 -0.22703E-05 0.000001 0.515412E-11 0.999999 0.564816E-12 - 98 156319. 0.63972E-05 0.35811E-07 0.000000 0.128245E-14 0.999999 0.140537E-15 - 99 156721. 0.63808E-05 0.28637E-02 0.000952 0.820064E-05 1.00000 0.898670E-06 - 100 156997. 0.63695E-05 -0.70305E-07 0.000000 0.494277E-14 1.00000 0.541655E-15 - 101 157043. 0.63677E-05 0.36156E-05 0.000001 0.130725E-10 1.00000 0.143256E-11 - 102 168943. 0.59191E-05 -0.41698E-03 0.000139 0.173871E-06 1.00000 0.190538E-07 - ----------------------------------------------------------------------------------------------------------------- - sum 9.11796 0.999194 - ----------------------------------------------------------------------------------------------------------------- - - - - - - *** NOTE *** CP = 2.656 TIME= 15:59:04 - The modes requested are mass normalized (Nrmkey on MODOPT). However, - the modal masses and kinetic energies below are calculated with unit - normalized modes. - - ***** MODAL MASSES, KINETIC ENERGIES, AND TRANSLATIONAL EFFECTIVE MASSES SUMMARY ***** - - EFFECTIVE MASS - MODE FREQUENCY MODAL MASS KENE | X-DIR RATIO% Y-DIR RATIO% Z-DIR RATIO% - 1 40.86 0.1007E-01 331.9 | 0.1009E-01 99.26 0.6887E-13 0.00 0.5350E-09 0.00 - 2 45.02 0.1003E-01 401.1 | 0.5358E-09 0.00 0.1179E-12 0.00 0.1007E-01 99.09 - 3 233.2 0.1005E-01 0.1080E+05 | 0.6622E-13 0.00 0.1011E-01 99.47 0.1004E-12 0.00 - 4 2195. 0.3909E-04 3716. | 0.2329E-13 0.00 0.2252E-04 0.22 0.4380E-13 0.00 - 5 3060. 0.7632E-04 0.1411E+05 | 0.1810E-12 0.00 0.6335E-13 0.00 0.4008E-10 0.00 - 6 3117. 0.6715E-04 0.1288E+05 | 0.4563E-13 0.00 0.1016E-12 0.00 0.6184E-04 0.61 - 7 3720. 0.1390E-03 0.3798E+05 | 0.9929E-05 0.10 0.5013E-13 0.00 0.1264E-12 0.00 - 8 4865. 0.3534E-04 0.1651E+05 | 0.000 0.00 0.4045E-15 0.00 0.2460E-05 0.02 - 9 6438. 0.1280E-03 0.1047E+06 | 0.1618E-06 0.00 0.6887E-12 0.00 0.4499E-13 0.00 - 10 6963. 0.6370E-04 0.6097E+05 | 0.2907E-12 0.00 0.6132E-05 0.06 0.1128E-13 0.00 - 11 8819. 0.6657E-03 0.1022E+07 | 0.4709E-15 0.00 0.8881E-14 0.00 0.3757E-05 0.04 - 12 9273. 0.3262E-01 0.5537E+08 | 0.2618E-10 0.00 0.8412E-06 0.01 0.1192E-12 0.00 - 13 9537. 0.1038E-03 0.1864E+06 | 0.4610E-05 0.05 0.9472E-11 0.00 0.1824E-13 0.00 - 14 0.1014E+05 0.2572E-03 0.5225E+06 | 0.4305E-13 0.00 0.1011E-13 0.00 0.4903E-13 0.00 - 15 0.1106E+05 0.3324E-04 0.8033E+05 | 0.9481E-13 0.00 0.7570E-15 0.00 0.4252E-14 0.00 - 16 0.1154E+05 0.4728E-04 0.1243E+06 | 0.2596E-04 0.26 0.2429E-13 0.00 0.2605E-13 0.00 - 17 0.1212E+05 0.1534E-02 0.4448E+07 | 0.7146E-12 0.00 0.3240E-14 0.00 0.2094E-05 0.02 - 18 0.1280E+05 0.7206E-04 0.2330E+06 | 0.8653E-12 0.00 0.2191E-07 0.00 0.8219E-14 0.00 - 19 0.1412E+05 0.2213E-02 0.8713E+07 | 0.1666E-11 0.00 0.1798E-14 0.00 0.2053E-06 0.00 - 20 0.1445E+05 0.6636E-04 0.2733E+06 | 0.5277E-05 0.05 0.1161E-13 0.00 0.7011E-13 0.00 - 21 0.1469E+05 0.7891E-02 0.3360E+08 | 0.2730E-12 0.00 0.3020E-14 0.00 0.1470E-12 0.00 - 22 0.1597E+05 0.1892E-02 0.9526E+07 | 0.4265E-13 0.00 0.7595E-13 0.00 0.2300E-05 0.02 - 23 0.1675E+05 0.4704E-02 0.2604E+08 | 0.1107E-13 0.00 0.2553E-13 0.00 0.1240E-12 0.00 - 24 0.1863E+05 0.1799E-03 0.1232E+07 | 0.2806E-05 0.03 0.2387E-13 0.00 0.1654E-14 0.00 - 25 0.1897E+05 0.2887E-04 0.2051E+06 | 0.5462E-16 0.00 0.1389E-13 0.00 0.2730E-08 0.00 - 26 0.1977E+05 0.8055E-04 0.6217E+06 | 0.4406E-13 0.00 0.5889E-05 0.06 0.4049E-15 0.00 - 27 0.2012E+05 0.5939E-03 0.4746E+07 | 0.6554E-14 0.00 0.1880E-11 0.00 0.8327E-14 0.00 - 28 0.2138E+05 0.4156E-04 0.3750E+06 | 0.1075E-12 0.00 0.5499E-07 0.00 0.1458E-14 0.00 - 29 0.2363E+05 0.5594E-03 0.6168E+07 | 0.2330E-07 0.00 0.2139E-10 0.00 0.3183E-12 0.00 - 30 0.2364E+05 0.5497E-03 0.6063E+07 | 0.3658E-05 0.04 0.2575E-10 0.00 0.1929E-12 0.00 - 31 0.2411E+05 0.2389E-03 0.2741E+07 | 0.1857E-10 0.00 0.5972E-05 0.06 0.6536E-12 0.00 - 32 0.2461E+05 0.4234E-03 0.5062E+07 | 0.1551E-12 0.00 0.9065E-12 0.00 0.3173E-05 0.03 - 33 0.2490E+05 0.2347E-03 0.2872E+07 | 0.5277E-11 0.00 0.3104E-06 0.00 0.2180E-11 0.00 - 34 0.2715E+05 0.1241E-03 0.1807E+07 | 0.6606E-06 0.01 0.3027E-13 0.00 0.1017E-11 0.00 - 35 0.2753E+05 0.2511E-03 0.3758E+07 | 0.1851E-13 0.00 0.2167E-12 0.00 0.3642E-11 0.00 - 36 0.2816E+05 0.3651E-04 0.5715E+06 | 0.3933E-14 0.00 0.1825E-13 0.00 0.2418E-10 0.00 - 37 0.2822E+05 0.9988E-04 0.1570E+07 | 0.8151E-05 0.08 0.3667E-12 0.00 0.5844E-11 0.00 - 38 0.2836E+05 0.3124E-02 0.4959E+08 | 0.8394E-11 0.00 0.1781E-14 0.00 0.5176E-05 0.05 - 39 0.3089E+05 0.5428E-03 0.1023E+08 | 0.1073E-13 0.00 0.3352E-16 0.00 0.5038E-07 0.00 - 40 0.3205E+05 0.1297E-02 0.2630E+08 | 0.1664E-12 0.00 0.1800E-13 0.00 0.7117E-08 0.00 - 41 0.3323E+05 0.1084E-03 0.2363E+07 | 0.2628E-05 0.03 0.1288E-13 0.00 0.7628E-16 0.00 - 42 0.3324E+05 0.7589E-03 0.1655E+08 | 0.5249E-09 0.00 0.1323E-14 0.00 0.1887E-13 0.00 - 43 0.3457E+05 0.6323E-04 0.1492E+07 | 0.1603E-13 0.00 0.2741E-06 0.00 0.1473E-13 0.00 - 44 0.3726E+05 0.3535E-02 0.9686E+08 | 0.1757E-13 0.00 0.1287E-12 0.00 0.9137E-06 0.01 - 45 0.3845E+05 0.2620E-04 0.7645E+06 | 0.5049E-14 0.00 0.1019E-14 0.00 0.4863E-08 0.00 - 46 0.3871E+05 0.1615E-02 0.4778E+08 | 0.2784E-12 0.00 0.1964E-10 0.00 0.7823E-13 0.00 - 47 0.3939E+05 0.4426E-04 0.1356E+07 | 0.2228E-14 0.00 0.1551E-06 0.00 0.1392E-12 0.00 - 48 0.4191E+05 0.1340E-03 0.4645E+07 | 0.1423E-05 0.01 0.7515E-12 0.00 0.5898E-15 0.00 - 49 0.4222E+05 0.4953E-04 0.1743E+07 | 0.4601E-11 0.00 0.4616E-07 0.00 0.8647E-15 0.00 - 50 0.4288E+05 0.5108E-03 0.1854E+08 | 0.4721E-12 0.00 0.2808E-11 0.00 0.3486E-13 0.00 - 51 0.4640E+05 0.6857E-02 0.2914E+09 | 0.2183E-08 0.00 0.2527E-10 0.00 0.8034E-17 0.00 - 52 0.4698E+05 0.2209E-03 0.9622E+07 | 0.3693E-07 0.00 0.2303E-10 0.00 0.4449E-14 0.00 - 53 0.4830E+05 0.8496E-04 0.3912E+07 | 0.5533E-06 0.01 0.4551E-12 0.00 0.8005E-15 0.00 - 54 0.4926E+05 0.2828E-04 0.1354E+07 | 0.4524E-13 0.00 0.7717E-14 0.00 0.6552E-15 0.00 - 55 0.5125E+05 0.6002E-03 0.3112E+08 | 0.9541E-14 0.00 0.1832E-12 0.00 0.8501E-07 0.00 - 56 0.5435E+05 0.3675E-03 0.2143E+08 | 0.7805E-15 0.00 0.1671E-11 0.00 0.4760E-07 0.00 - 57 0.5496E+05 0.6537E-04 0.3897E+07 | 0.1056E-12 0.00 0.4526E-07 0.00 0.1121E-11 0.00 - 58 0.5548E+05 0.4567E-04 0.2775E+07 | 0.8060E-12 0.00 0.3337E-06 0.00 0.7977E-13 0.00 - 59 0.5702E+05 0.5915E-04 0.3796E+07 | 0.1365E-07 0.00 0.9099E-14 0.00 0.1271E-14 0.00 - 60 0.6077E+05 0.2450E-04 0.1786E+07 | 0.000 0.00 0.1208E-15 0.00 0.1495E-07 0.00 - 61 0.6313E+05 0.6877E-04 0.5410E+07 | 0.1465E-08 0.00 0.9630E-12 0.00 0.9716E-14 0.00 - 62 0.6669E+05 0.3076E-03 0.2700E+08 | 0.7707E-14 0.00 0.1710E-11 0.00 0.8989E-15 0.00 - 63 0.6795E+05 0.5387E-04 0.4909E+07 | 0.1798E-14 0.00 0.8101E-13 0.00 0.1328E-13 0.00 - 64 0.7075E+05 0.1203E-03 0.1188E+08 | 0.2162E-06 0.00 0.1952E-08 0.00 0.8557E-14 0.00 - 65 0.7085E+05 0.2180E-04 0.2161E+07 | 0.4974E-08 0.00 0.9170E-07 0.00 0.3755E-14 0.00 - 66 0.7671E+05 0.4277E-04 0.4968E+07 | 0.1712E-14 0.00 0.7226E-12 0.00 0.2006E-11 0.00 - 67 0.7707E+05 0.4026E-04 0.4720E+07 | 0.1363E-14 0.00 0.3512E-14 0.00 0.8144E-07 0.00 - 68 0.7896E+05 0.2650E-04 0.3262E+07 | 0.8505E-14 0.00 0.4756E-07 0.00 0.1985E-14 0.00 - 69 0.8008E+05 0.2354E-03 0.2981E+08 | 0.4136E-15 0.00 0.6357E-13 0.00 0.6514E-08 0.00 - 70 0.8188E+05 0.2640E-04 0.3494E+07 | 0.9223E-08 0.00 0.1024E-11 0.00 0.1875E-14 0.00 - 71 0.8253E+05 0.8435E-04 0.1134E+08 | 0.5969E-16 0.00 0.2207E-13 0.00 0.8692E-15 0.00 - 72 0.8409E+05 0.4088E-04 0.5706E+07 | 0.2801E-07 0.00 0.6320E-12 0.00 0.9296E-15 0.00 - 73 0.8679E+05 0.2965E-04 0.4409E+07 | 0.1079E-15 0.00 0.6670E-13 0.00 0.3002E-14 0.00 - 74 0.9023E+05 0.2977E-04 0.4784E+07 | 0.1111E-13 0.00 0.2005E-08 0.00 0.000 0.00 - 75 0.9074E+05 0.1633E-04 0.2654E+07 | 0.000 0.00 0.000 0.00 0.2067E-08 0.00 - 76 0.9299E+05 0.2094E-03 0.3574E+08 | 0.1020E-13 0.00 0.2255E-11 0.00 0.1174E-14 0.00 - 77 0.9344E+05 0.1509E-04 0.2600E+07 | 0.2189E-13 0.00 0.1236E-07 0.00 0.2256E-15 0.00 - 78 0.9517E+05 0.2230E-04 0.3986E+07 | 0.9371E-16 0.00 0.1026E-16 0.00 0.9435E-08 0.00 - 79 0.9741E+05 0.2192E-04 0.4105E+07 | 0.1050E-08 0.00 0.1545E-12 0.00 0.000 0.00 - 80 0.1012E+06 0.1836E-03 0.3710E+08 | 0.7357E-07 0.00 0.1222E-12 0.00 0.9901E-16 0.00 - 81 0.1038E+06 0.1615E-03 0.3434E+08 | 0.1099E-16 0.00 0.2525E-13 0.00 0.5835E-08 0.00 - 82 0.1049E+06 0.6127E-04 0.1330E+08 | 0.7627E-16 0.00 0.2307E-14 0.00 0.2936E-14 0.00 - 83 0.1131E+06 0.7370E-04 0.1861E+08 | 0.9481E-13 0.00 0.2885E-07 0.00 0.4640E-14 0.00 - 84 0.1166E+06 0.1882E-04 0.5048E+07 | 0.1610E-14 0.00 0.1446E-07 0.00 0.1363E-12 0.00 - 85 0.1182E+06 0.5409E-04 0.1493E+08 | 0.2483E-16 0.00 0.1880E-16 0.00 0.1147E-09 0.00 - 86 0.1191E+06 0.2568E-03 0.7193E+08 | 0.4540E-12 0.00 0.2818E-10 0.00 0.8040E-12 0.00 - 87 0.1214E+06 0.2491E-03 0.7246E+08 | 0.6459E-13 0.00 0.3435E-12 0.00 0.9939E-07 0.00 - 88 0.1232E+06 0.1242E-03 0.3719E+08 | 0.2528E-06 0.00 0.3066E-12 0.00 0.2933E-13 0.00 - 89 0.1318E+06 0.4055E-04 0.1390E+08 | 0.3499E-16 0.00 0.2246E-15 0.00 0.2012E-13 0.00 - 90 0.1337E+06 0.8504E-04 0.3001E+08 | 0.2091E-12 0.00 0.7794E-07 0.00 0.5190E-13 0.00 - 91 0.1367E+06 0.1639E-04 0.6044E+07 | 0.1532E-09 0.00 0.1166E-13 0.00 0.1803E-17 0.00 - 92 0.1398E+06 0.6732E-04 0.2598E+08 | 0.2358E-06 0.00 0.1912E-11 0.00 0.5299E-14 0.00 - 93 0.1440E+06 0.4164E-04 0.1704E+08 | 0.3984E-16 0.00 0.7132E-17 0.00 0.2037E-08 0.00 - 94 0.1476E+06 0.5978E-04 0.2572E+08 | 0.5339E-12 0.00 0.3617E-07 0.00 0.2225E-13 0.00 - 95 0.1512E+06 0.1098E-03 0.4955E+08 | 0.9714E-16 0.00 0.5466E-15 0.00 0.1603E-14 0.00 - 96 0.1516E+06 0.1166E-03 0.5291E+08 | 0.6221E-08 0.00 0.2491E-12 0.00 0.7116E-15 0.00 - 97 0.1551E+06 0.1505E-04 0.7151E+07 | 0.3403E-14 0.00 0.3745E-08 0.00 0.8653E-14 0.00 - 98 0.1563E+06 0.4224E-04 0.2037E+08 | 0.2101E-17 0.00 0.000 0.00 0.4334E-15 0.00 - 99 0.1567E+06 0.4039E-04 0.1958E+08 | 0.9252E-08 0.00 0.1098E-12 0.00 0.2318E-15 0.00 - 100 0.1570E+06 0.2825E-04 0.1374E+08 | 0.6837E-17 0.00 0.4658E-16 0.00 0.8321E-09 0.00 - 101 0.1570E+06 0.2839E-04 0.1382E+08 | 0.1115E-13 0.00 0.4954E-10 0.00 0.1748E-15 0.00 - 102 0.1689E+06 0.1318E-04 0.7426E+07 | 0.9932E-10 0.00 0.1762E-14 0.00 0.000 0.00 - -------------------------------------------------------------------------------------------------------------- - sum | 0.1015E-01 99.91 0.1015E-01 99.89 0.1015E-01 99.90 - -------------------------------------------------------------------------------------------------------------- - - - *** ANSYS BINARY FILE STATISTICS - BUFFER SIZE USED= 16384 - 0.062 MB WRITTEN ON ELEMENT MATRIX FILE: file0.emat - 15.312 MB WRITTEN ON ELEMENT SAVED DATA FILE: file0.esav - 0.125 MB WRITTEN ON ASSEMBLED MATRIX FILE: file0.full - 0.125 MB WRITTEN ON MODAL MATRIX FILE: file0.mode - 0.562 MB WRITTEN ON SUBSTRUCTURE DOF SOLUTION FILE: file0.dsub - 0.750 MB WRITTEN ON RESULTS FILE: file0.rst - *************** Write FE CONNECTORS ********* - - WRITE OUT CONSTRAINT EQUATIONS TO FILE= file.ce - - *GET _NMODALSOLPROC FROM ACTI ITEM=NUMC VALUE= 2.00000000 - - FINISH SOLUTION PROCESSING - - - ***** ROUTINE COMPLETED ***** CP = 2.688 - - - - ALL CURRENT ANSYS DATA WRITTEN TO FILE NAME= file.db - FOR POSSIBLE RESUME FROM THIS POINT - - PRINTOUT RESUMED BY /GOP - - *GET _WALLASOL FROM ACTI ITEM=TIME WALL VALUE= 15.9844444 - - *** ANSYS - ENGINEERING ANALYSIS SYSTEM RELEASE 2020 R1 20.1 *** - DISTRIBUTED ANSYS Academic Research - - 00208316 VERSION=WINDOWS x64 15:59:04 JUN 12, 2020 CP= 2.766 - - Piezo-APA95ML-3DElm--Modal (A5) - - - - ***** ANSYS RESULTS INTERPRETATION (POST1) ***** - - *** NOTE *** CP = 2.766 TIME= 15:59:04 - Reading results into the database (SET command) will update the current - displacement and force boundary conditions in the database with the - values from the results file for that load set. Note that any - subsequent solutions will use these values unless action is taken to - either SAVE the current values or not overwrite them (/EXIT,NOSAVE). - - PRINTOUT RESUMED BY /GOP - - Set Encoding of XML File to:ISO-8859-1 - - Set Output of XML File to: - PARM, , , , , , , , , , , , - , , , , , , , - - DATABASE WRITTEN ON FILE parm.xml - - EXIT THE ANSYS POST1 DATABASE PROCESSOR - - - ***** ROUTINE COMPLETED ***** CP = 3.625 - - - - PRINTOUT RESUMED BY /GOP - - *GET _WALLDONE FROM ACTI ITEM=TIME WALL VALUE= 15.9847222 - - PARAMETER _PREPTIME = 0.000000000 - - PARAMETER _SOLVTIME = 1.000000000 - - PARAMETER _POSTTIME = 1.000000000 - - PARAMETER _TOTALTIM = 2.000000000 - - *GET _DLBRATIO FROM ACTI ITEM=SOLU DLBR VALUE= 1.00000000 - - *GET _COMBTIME FROM ACTI ITEM=SOLU COMB VALUE= 0.217809000E-01 - --- Number of total nodes = 18 - --- Number of total elements = 2 - --- Element load balance ratio = 1 - --- Time to combine distributed files = 2.17809E-02 - - EXIT ANSYS WITHOUT SAVING DATABASE - - - NUMBER OF WARNING MESSAGES ENCOUNTERED= 3 - NUMBER OF ERROR MESSAGES ENCOUNTERED= 0 - -+--------- D I S T R I B U T E D A N S Y S S T A T I S T I C S ------------+ - -Release: 2020 R1 Build: 20.1 Update: UP20191203 Platform: WINDOWS x64 -Date Run: 06/12/2020 Time: 15:59 Process ID: 4220 -Operating System: Windows 10 (Build: 17763) - -Processor Model: Intel(R) Xeon(R) CPU E5-1620 v4 @ 3.50GHz - -Compiler: Intel(R) FORTRAN Compiler Version 19.0.0 (Build: 20190206) - Intel(R) C/C++ Compiler Version 19.0.0 (Build: 20190206) - Intel(R) Math Kernel Library Version 2019.0.3 Product Build 20190125 - -Number of machines requested : 1 -Total number of cores available : 8 -Number of physical cores available : 4 -Number of processes requested : 4 -Number of threads per process requested : 1 -Total number of cores requested : 4 (Distributed Memory Parallel) -MPI Type: INTELMPI -MPI Version: Intel(R) MPI Library 2018 Update 3 for Windows* OS - - -GPU Acceleration: Not Requested - -Job Name: file0 -Input File: dummy.dat - - Core Machine Name Working Directory - ----------------------------------------------------- - 0 PCBRUMUND.esrf.fr C:\Users\brumund\Documents (Local)\ANSYS\NASS\_ProjectScratch\Scr779E - 1 PCBRUMUND.esrf.fr C:\Users\brumund\Documents (Local)\ANSYS\NASS\_ProjectScratch\Scr779E - 2 PCBRUMUND.esrf.fr C:\Users\brumund\Documents (Local)\ANSYS\NASS\_ProjectScratch\Scr779E - 3 PCBRUMUND.esrf.fr C:\Users\brumund\Documents (Local)\ANSYS\NASS\_ProjectScratch\Scr779E - -Latency time from master to core 1 = 1.284 microseconds -Latency time from master to core 2 = 1.190 microseconds -Latency time from master to core 3 = 1.427 microseconds - -Communication speed from master to core 1 = 4034.11 MB/sec -Communication speed from master to core 2 = 4275.72 MB/sec -Communication speed from master to core 3 = 4061.51 MB/sec - -Total CPU time for main thread : 2.6 seconds -Total CPU time summed for all threads : 3.6 seconds - -Elapsed time spent obtaining a license : 0.9 seconds -Elapsed time spent pre-processing model (/PREP7) : 0.0 seconds -Elapsed time spent solution - preprocessing : 0.1 seconds -Elapsed time spent computing solution : 1.5 seconds -Elapsed time spent solution - postprocessing : 0.0 seconds -Elapsed time spent post-processing model (/POST1) : 0.3 seconds - -Eigensolver used : Block Lanczos -Equation solver computational rate : 0.1 Gflops - -Maximum total memory used : 226.0 MB -Maximum total memory allocated : 5184.0 MB -Total physical memory available : 64 GB - -Total amount of I/O written to disk : 0.0 GB -Total amount of I/O read from disk : 1.7 GB - -+------ E N D D I S T R I B U T E D A N S Y S S T A T I S T I C S -------+ - - - *---------------------------------------------------------------------------* - | | - | DISTRIBUTED ANSYS RUN COMPLETED | - | | - |---------------------------------------------------------------------------| - | | - | Ansys 2020 R1 Build 20.1 UP20191203 WINDOWS x64 | - | | - |---------------------------------------------------------------------------| - | | - | Database Requested(-db) 1024 MB Scratch Memory Requested 1024 MB | - | Maximum Database Used 7 MB Maximum Scratch Memory Used 165 MB | - | | - |---------------------------------------------------------------------------| - | | - | CP Time (sec) = 3.641 Time = 15:59:06 | - | Elapsed Time (sec) = 6.000 Date = 06/12/2020 | - | | - *---------------------------------------------------------------------------* diff --git a/matlab/to-order/strut_encoder/data/cp143.sub b/matlab/to-order/strut_encoder/data/cp143.sub deleted file mode 100755 index 1de4fee583520aa36f0e585698e2f1ddf1edd97b..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 2621440 zcmeF)Ww4gVwlDg3GAF^^ed6x!?(XjH?jC}>OK^AhkOX%pI0Og@AtAvf&i%b>?^Siq zsk&co)w%c7t(B_(9^J!w^ytz3^z*!vwc7>$_1~z-$VdOZ{XQg+y+po{i2ud^pZ;&2 z9J%r=ES4{%T#d>N!|OJz8J@4epnSP|wGGeJGH`Tvv#^YZWiUi}#*&`zh;e=+{GHU+dJz=^bhz$a+8 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1,28]:-7.215e-02 [ 1,29]: 5.238e+00 [ 1,30]:-1.026e+00 [ 1,31]:-4.602e+05 [ 1,32]:-1.786e+05 [ 1,33]: 2.653e+05 [ 1,34]: 1.107e+03 [ 1,35]:-2.786e+03 [ 1,36]: 2.263e+02 [ 1,37]: 8.197e+05 [ 1,38]:-5.739e+05 [ 1,39]: 3.441e+06 [ 1,40]: 1.181e+03 [ 1,41]:-6.082e+03 [ 1,42]:-9.372e+01 [ 1,43]: 1.588e+04 [ 1,44]: 2.094e+04 [ 1,45]:-2.610e+03 [ 1,46]: 2.404e+02 [ 1,47]:-1.877e+02 [ 1,48]:-1.737e+02 [ 1,49]: 0.000e+00 [ 1,50]: 0.000e+00 [ 1,51]: 0.000e+00 [ 1,52]: 0.000e+00 [ 1,53]: 0.000e+00 [ 1,54]: 0.000e+00 -[ 2, 1]: 1.359e+06 [ 2, 2]: 3.746e+06 [ 2, 3]:-7.788e+06 [ 2, 4]:-8.669e+02 [ 2, 5]: 3.939e+02 [ 2, 6]:-4.756e+01 [ 2, 7]:-5.520e+03 [ 2, 8]: 1.306e+04 [ 2, 9]:-1.798e+04 [ 2,10]: 2.975e+00 [ 2,11]: 1.638e+00 [ 2,12]: 8.965e+00 [ 2,13]:-2.346e+06 [ 2,14]:-1.048e+06 [ 2,15]:-3.866e+05 [ 2,16]: 1.039e+04 [ 2,17]:-1.503e+04 [ 2,18]:-1.895e+04 [ 2,19]:-1.554e+04 [ 2,20]:-1.237e+04 [ 2,21]: 4.427e+03 [ 2,22]:-6.128e+00 [ 2,23]: 2.035e+01 [ 2,24]: 6.289e+01 [ 2,25]: 4.851e+03 [ 2,26]:-3.377e+03 [ 2,27]: 6.606e+02 [ 2,28]:-3.247e-01 [ 2,29]:-1.088e+01 [ 2,30]:-4.618e+01 [ 2,31]: 1.349e+06 [ 2,32]:-9.254e+05 [ 2,33]:-2.525e+05 [ 2,34]: 9.759e+03 [ 2,35]: 7.555e+03 [ 2,36]: 1.891e+04 [ 2,37]:-3.640e+05 [ 2,38]:-1.902e+06 [ 2,39]: 8.468e+06 [ 2,40]: 1.118e+04 [ 2,41]:-1.028e+04 [ 2,42]:-1.089e+03 [ 2,43]: 1.746e+04 [ 2,44]: 1.315e+05 [ 2,45]:-2.728e+04 [ 2,46]: 1.504e+03 [ 2,47]:-4.675e+02 [ 2,48]:-9.227e+02 [ 2,49]: 0.000e+00 [ 2,50]: 0.000e+00 [ 2,51]: 0.000e+00 [ 2,52]: 0.000e+00 [ 2,53]: 0.000e+00 [ 2,54]: 0.000e+00 -[ 3, 1]:-3.175e+06 [ 3, 2]:-7.788e+06 [ 3, 3]: 2.476e+07 [ 3, 4]: 2.123e+03 [ 3, 5]:-9.283e+02 [ 3, 6]: 1.689e+02 [ 3, 7]:-1.226e+04 [ 3, 8]: 2.495e+04 [ 3, 9]:-2.564e+05 [ 3,10]: 7.243e+00 [ 3,11]: 3.627e+00 [ 3,12]:-1.294e+01 [ 3,13]:-1.215e+07 [ 3,14]: 2.324e+06 [ 3,15]:-2.186e+06 [ 3,16]:-1.440e+04 [ 3,17]:-7.315e+04 [ 3,18]: 9.734e+02 [ 3,19]:-8.074e+04 [ 3,20]: 2.052e+03 [ 3,21]: 2.178e+04 [ 3,22]: 1.168e+01 [ 3,23]: 1.061e+02 [ 3,24]:-4.992e+00 [ 3,25]: 5.024e+04 [ 3,26]: 7.446e+02 [ 3,27]: 9.177e+03 [ 3,28]: 3.880e+00 [ 3,29]:-1.189e+02 [ 3,30]: 8.081e+00 [ 3,31]: 1.464e+07 [ 3,32]: 2.147e+06 [ 3,33]:-2.481e+06 [ 3,34]:-1.362e+04 [ 3,35]: 9.133e+04 [ 3,36]:-7.498e+02 [ 3,37]: 7.670e+05 [ 3,38]: 3.408e+06 [ 3,39]:-1.980e+07 [ 3,40]:-6.960e+03 [ 3,41]: 2.296e+04 [ 3,42]: 1.946e+03 [ 3,43]:-3.350e+04 [ 3,44]:-1.184e+05 [ 3,45]:-5.921e+04 [ 3,46]:-1.228e+03 [ 3,47]:-2.156e+02 [ 3,48]: 8.734e+02 [ 3,49]: 0.000e+00 [ 3,50]: 0.000e+00 [ 3,51]: 0.000e+00 [ 3,52]: 0.000e+00 [ 3,53]: 0.000e+00 [ 3,54]: 0.000e+00 -[ 4, 1]:-3.705e+02 [ 4, 2]:-8.669e+02 [ 4, 3]: 2.123e+03 [ 4, 4]: 5.073e+00 [ 4, 5]:-1.074e-01 [ 4, 6]: 4.802e-02 [ 4, 7]: 1.329e+00 [ 4, 8]:-3.139e+00 [ 4, 9]: 5.584e+00 [ 4,10]:-7.200e-04 [ 4,11]:-3.981e-04 [ 4,12]:-2.144e-03 [ 4,13]: 6.387e+02 [ 4,14]: 2.165e+02 [ 4,15]: 1.054e+02 [ 4,16]:-2.298e+00 [ 4,17]: 4.097e+00 [ 4,18]: 4.633e+00 [ 4,19]: 4.231e+00 [ 4,20]: 3.000e+00 [ 4,21]:-1.207e+00 [ 4,22]: 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5,21]: 9.818e-01 [ 5,22]:-9.559e-04 [ 5,23]: 4.264e-03 [ 5,24]: 5.022e-04 [ 5,25]:-8.038e-02 [ 5,26]:-2.169e-02 [ 5,27]:-1.569e-01 [ 5,28]:-1.421e-05 [ 5,29]: 9.425e-04 [ 5,30]:-2.904e-04 [ 5,31]:-6.788e+01 [ 5,32]:-5.011e+01 [ 5,33]: 6.319e+01 [ 5,34]: 3.059e-01 [ 5,35]:-3.265e-01 [ 5,36]: 6.491e-02 [ 5,37]: 2.473e+02 [ 5,38]:-1.663e+02 [ 5,39]: 9.973e+02 [ 5,40]: 3.399e-01 [ 5,41]:-1.539e+00 [ 5,42]:-1.161e-02 [ 5,43]: 3.502e+00 [ 5,44]: 5.941e+00 [ 5,45]:-9.214e-01 [ 5,46]: 6.863e-02 [ 5,47]:-4.598e-02 [ 5,48]:-4.740e-02 [ 5,49]: 0.000e+00 [ 5,50]: 0.000e+00 [ 5,51]: 0.000e+00 [ 5,52]: 0.000e+00 [ 5,53]: 0.000e+00 [ 5,54]: 0.000e+00 -[ 6, 1]: 1.550e+02 [ 6, 2]:-4.756e+01 [ 6, 3]: 1.689e+02 [ 6, 4]: 4.802e-02 [ 6, 5]: 4.115e-02 [ 6, 6]: 2.605e+02 [ 6, 7]: 4.178e+00 [ 6, 8]:-1.098e-02 [ 6, 9]:-1.402e+00 [ 6,10]: 3.442e-05 [ 6,11]:-9.421e-04 [ 6,12]: 2.578e-02 [ 6,13]:-1.386e+03 [ 6,14]: 3.640e+03 [ 6,15]:-2.596e+02 [ 6,16]:-2.441e+01 [ 6,17]:-1.039e+01 [ 6,18]: 2.772e+00 [ 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8,16]:-3.811e+02 [ 8,17]: 3.716e+03 [ 8,18]:-9.119e+03 [ 8,19]:-5.580e+03 [ 8,20]:-5.431e+03 [ 8,21]:-1.096e+03 [ 8,22]:-1.460e+00 [ 8,23]:-6.822e+00 [ 8,24]: 2.966e+01 [ 8,25]: 9.283e+03 [ 8,26]:-1.778e+03 [ 8,27]:-1.989e+03 [ 8,28]: 1.131e+00 [ 8,29]: 2.284e+01 [ 8,30]:-2.371e+01 [ 8,31]: 2.797e+06 [ 8,32]:-7.052e+05 [ 8,33]: 4.600e+05 [ 8,34]:-6.749e+03 [ 8,35]:-1.841e+04 [ 8,36]: 9.343e+03 [ 8,37]:-1.552e+04 [ 8,38]: 1.176e+04 [ 8,39]: 1.839e+04 [ 8,40]:-1.846e+02 [ 8,41]:-1.970e+02 [ 8,42]:-6.602e+00 [ 8,43]:-9.022e+05 [ 8,44]:-5.458e+06 [ 8,45]:-7.461e+06 [ 8,46]:-9.845e+04 [ 8,47]:-5.054e+04 [ 8,48]: 3.841e+04 [ 8,49]: 0.000e+00 [ 8,50]: 0.000e+00 [ 8,51]: 0.000e+00 [ 8,52]: 0.000e+00 [ 8,53]: 0.000e+00 [ 8,54]: 0.000e+00 -[ 9, 1]:-1.376e+04 [ 9, 2]:-1.798e+04 [ 9, 3]:-2.564e+05 [ 9, 4]: 5.584e+00 [ 9, 5]:-3.345e+00 [ 9, 6]:-1.402e+00 [ 9, 7]:-2.223e+06 [ 9, 8]: 6.793e+06 [ 9, 9]: 1.956e+07 [ 9,10]: 1.850e+03 [ 9,11]: 6.048e+02 [ 9,12]:-4.660e+02 [ 9,13]: 1.590e+07 [ 9,14]:-1.442e+06 [ 9,15]:-2.733e+06 [ 9,16]:-9.275e+03 [ 9,17]:-9.994e+04 [ 9,18]:-3.425e+02 [ 9,19]: 1.071e+05 [ 9,20]:-1.257e+03 [ 9,21]: 2.960e+04 [ 9,22]: 7.440e+00 [ 9,23]: 1.377e+02 [ 9,24]: 2.718e+00 [ 9,25]:-4.403e+04 [ 9,26]:-7.666e+02 [ 9,27]: 7.034e+03 [ 9,28]: 4.985e+00 [ 9,29]:-1.015e+02 [ 9,30]:-7.885e+00 [ 9,31]:-1.255e+07 [ 9,32]:-2.396e+06 [ 9,33]:-2.220e+06 [ 9,34]:-1.554e+04 [ 9,35]: 7.478e+04 [ 9,36]: 3.011e+02 [ 9,37]:-1.635e+04 [ 9,38]: 3.741e+04 [ 9,39]:-7.948e+04 [ 9,40]:-3.318e+02 [ 9,41]:-1.630e+02 [ 9,42]: 2.053e+00 [ 9,43]:-1.168e+06 [ 9,44]:-2.973e+06 [ 9,45]:-1.431e+07 [ 9,46]:-8.717e+03 [ 9,47]:-1.082e+05 [ 9,48]: 2.360e+04 [ 9,49]: 0.000e+00 [ 9,50]: 0.000e+00 [ 9,51]: 0.000e+00 [ 9,52]: 0.000e+00 [ 9,53]: 0.000e+00 [ 9,54]: 0.000e+00 -[10, 1]: 3.429e-01 [10, 2]: 2.975e+00 [10, 3]: 7.243e+00 [10, 4]:-7.200e-04 [10, 5]: 1.231e-04 [10, 6]: 3.442e-05 [10, 7]:-2.914e+02 [10, 8]: 1.434e+03 [10, 9]: 1.850e+03 [10,10]: 5.224e+00 [10,11]: 8.027e-02 [10,12]:-1.559e-01 [10,13]:-2.248e+02 [10,14]: 1.050e+02 [10,15]: 4.601e+01 [10,16]: 1.667e-01 [10,17]: 1.030e+00 [10,18]:-2.195e+00 [10,19]:-1.534e+00 [10,20]:-1.278e+00 [10,21]:-3.041e-01 [10,22]:-5.638e-04 [10,23]:-1.881e-03 [10,24]: 7.094e-03 [10,25]: 2.522e+00 [10,26]:-4.230e-01 [10,27]:-5.399e-01 [10,28]: 2.429e-04 [10,29]: 6.203e-03 [10,30]:-5.656e-03 [10,31]: 7.597e+02 [10,32]:-1.485e+02 [10,33]: 1.249e+02 [10,34]:-1.492e+00 [10,35]:-4.999e+00 [10,36]: 2.254e+00 [10,37]:-4.205e+00 [10,38]: 2.441e+00 [10,39]: 4.526e+00 [10,40]:-3.964e-02 [10,41]:-5.304e-02 [10,42]:-2.213e-03 [10,43]:-2.406e+02 [10,44]:-1.394e+03 [10,45]:-2.032e+03 [10,46]:-2.570e+01 [10,47]:-1.385e+01 [10,48]: 9.830e+00 [10,49]: 0.000e+00 [10,50]: 0.000e+00 [10,51]: 0.000e+00 [10,52]: 0.000e+00 [10,53]: 0.000e+00 [10,54]: 0.000e+00 -[11, 1]: 1.352e-01 [11, 2]: 1.638e+00 [11, 3]: 3.627e+00 [11, 4]:-3.981e-04 [11, 5]: 5.750e-05 [11, 6]:-9.421e-04 [11, 7]:-6.363e+02 [11, 8]: 2.939e+02 [11, 9]: 6.048e+02 [11,10]: 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