Add importation of FRF and COH
This commit is contained in:
parent
f3ad689baa
commit
1ded4b389a
Binary file not shown.
|
Before Width: | Height: | Size: 31 KiB After Width: | Height: | Size: 54 KiB |
Binary file not shown.
@ -347,7 +347,7 @@ The obtained area of this polygon is then compared with the area of the circle w
|
||||
A little complex mode is shown on figure [[fig:modal_complexity_small]] whereas an highly complex mode is shown on figure [[fig:modal_complexity_high]].
|
||||
The complexity of all the modes are compared on figure [[fig:modal_complexities]].
|
||||
|
||||
#+begin_src matlab :export none
|
||||
#+begin_src matlab :exports none
|
||||
mod_i = 1;
|
||||
i_max = convhull(real(eigen_vector_M(:, mod_i)), imag(eigen_vector_M(:, mod_i)));
|
||||
radius = max(abs(eigen_vector_M(:, mod_i)));
|
||||
@ -373,7 +373,7 @@ The complexity of all the modes are compared on figure [[fig:modal_complexities]
|
||||
#+CAPTION: Modal Complexity of one mode with small complexity
|
||||
[[file:figs/modal_complexity_small.png]]
|
||||
|
||||
#+begin_src matlab :export none
|
||||
#+begin_src matlab :exports none
|
||||
mod_i = 8;
|
||||
i_max = convhull(real(eigen_vector_M(:, mod_i)), imag(eigen_vector_M(:, mod_i)));
|
||||
radius = max(abs(eigen_vector_M(:, mod_i)));
|
||||
@ -399,7 +399,7 @@ The complexity of all the modes are compared on figure [[fig:modal_complexities]
|
||||
#+CAPTION: Modal Complexity of one higly complex mode
|
||||
[[file:figs/modal_complexity_high.png]]
|
||||
|
||||
#+begin_src matlab :export none
|
||||
#+begin_src matlab :exports none
|
||||
modes_complexity = zeros(mod_n, 1);
|
||||
for mod_i = 1:mod_n
|
||||
i = convhull(real(eigen_vector_M(:, mod_i)), imag(eigen_vector_M(:, mod_i)));
|
||||
@ -508,4 +508,261 @@ If we look at the z motion for instance, we will find that we cannot neglect tha
|
||||
test = mode_shapes_O(10, 2, :)/norm(squeeze(mode_shapes_O(10, 2, :)));
|
||||
#+end_src
|
||||
|
||||
* Importation of measured FRF curves
|
||||
There are 24 measurements files corresponding to 24 series of impacts:
|
||||
- 3 directions, 8 sets of 3 accelerometers
|
||||
For each measurement file, the FRF and coherence between the impact and the 9 accelerations measured.
|
||||
|
||||
In reality: 4 sets of 10 things
|
||||
|
||||
#+begin_src matlab
|
||||
a = load('./modal_analysis/frf_coh/Measurement1.mat');
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab
|
||||
figure;
|
||||
|
||||
ax1 = subplot(2, 1, 1);
|
||||
hold on;
|
||||
plot(a.FFT1_AvXSpc_2_1_RMS_X_Val, a.FFT1_AvXSpc_2_1_RMS_Y_Mod)
|
||||
hold off;
|
||||
set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log');
|
||||
set(gca, 'XTickLabel',[]);
|
||||
ylabel('Amplitude');
|
||||
title(sprintf('From %s, to %s', FFT1_AvXSpc_2_1_RfName, FFT1_AvXSpc_2_1_RpName))
|
||||
|
||||
ax2 = subplot(2, 1, 2);
|
||||
hold on;
|
||||
plot(a.FFT1_AvXSpc_2_1_RMS_X_Val, a.FFT1_AvXSpc_2_1_RMS_Y_Phas)
|
||||
hold off;
|
||||
ylim([-180, 180]); yticks(-180:90:180);
|
||||
xlabel('Frequency [Hz]'); ylabel('Phase [deg]');
|
||||
set(gca, 'xscale', 'log');
|
||||
|
||||
linkaxes([ax1,ax2],'x');
|
||||
xlim([1, 200]);
|
||||
#+end_src
|
||||
|
||||
* Importation of measured FRF curves to global FRF matrix
|
||||
FRF matrix $n \times p$:
|
||||
- $n$ is the number of measurements: $3 \times 24$
|
||||
- $p$ is the number of excitation inputs: 3
|
||||
|
||||
23 measurements: 3 accelerometers
|
||||
|
||||
\begin{equation}
|
||||
\text{FRF}(\omega_i) = \begin{bmatrix}
|
||||
\frac{D_{1_x}}{F_x}(\omega_i) & \frac{D_{1_x}}{F_y}(\omega_i) & \frac{D_{1_x}}{F_z}(\omega_i) \\
|
||||
\frac{D_{1_y}}{F_x}(\omega_i) & \frac{D_{1_y}}{F_y}(\omega_i) & \frac{D_{1_y}}{F_z}(\omega_i) \\
|
||||
\frac{D_{1_z}}{F_x}(\omega_i) & \frac{D_{1_z}}{F_y}(\omega_i) & \frac{D_{1_z}}{F_z}(\omega_i) \\
|
||||
\frac{D_{2_x}}{F_x}(\omega_i) & \frac{D_{2_x}}{F_y}(\omega_i) & \frac{D_{2_x}}{F_z}(\omega_i) \\
|
||||
\vdots & \vdots & \vdots \\
|
||||
\frac{D_{23_z}}{F_x}(\omega_i) & \frac{D_{23_z}}{F_y}(\omega_i) & \frac{D_{23_z}}{F_z}(\omega_i) \\
|
||||
\end{bmatrix}
|
||||
\end{equation}
|
||||
|
||||
#+begin_src matlab
|
||||
n_meas = 24;
|
||||
n_acc = 23;
|
||||
|
||||
dirs = 'XYZ';
|
||||
|
||||
% Number of Accelerometer * DOF for each acccelerometer / Number of excitation / frequency points
|
||||
FRFs = zeros(3*n_acc, 3, 801);
|
||||
COHs = zeros(3*n_acc, 3, 801);
|
||||
|
||||
% Loop through measurements
|
||||
for i = 1:n_meas
|
||||
% Load the measurement file
|
||||
meas = load(sprintf('./modal_analysis/frf_coh/Measurement%i.mat', i));
|
||||
|
||||
% First: determine what is the exitation (direction and sign)
|
||||
exc_dir = meas.FFT1_AvXSpc_2_1_RMS_RfName(end);
|
||||
exc_sign = meas.FFT1_AvXSpc_2_1_RMS_RfName(end-1);
|
||||
% Determine what is the correct excitation sign
|
||||
exc_factor = str2num([exc_sign, '1']);
|
||||
if exc_dir ~= 'Z'
|
||||
exc_factor = exc_factor*(-1);
|
||||
end
|
||||
|
||||
% Then: loop through the nine measurements and store them at the correct location
|
||||
for j = 2:10
|
||||
% Determine what is the accelerometer and direction
|
||||
[indices_acc_i] = strfind(meas.(sprintf('FFT1_H1_%i_1_RpName', j)), '.');
|
||||
acc_i = str2num(meas.(sprintf('FFT1_H1_%i_1_RpName', j))(indices_acc_i(1)+1:indices_acc_i(2)-1));
|
||||
|
||||
meas_dir = meas.(sprintf('FFT1_H1_%i_1_RpName', j))(end);
|
||||
meas_sign = meas.(sprintf('FFT1_H1_%i_1_RpName', j))(end-1);
|
||||
% Determine what is the correct measurement sign
|
||||
meas_factor = str2num([meas_sign, '1']);
|
||||
if meas_dir ~= 'Z'
|
||||
meas_factor = meas_factor*(-1);
|
||||
end
|
||||
|
||||
% FRFs(acc_i+n_acc*(find(dirs==meas_dir)-1), find(dirs==exc_dir), :) = exc_factor*meas_factor*meas.(sprintf('FFT1_H1_%i_1_Y_ReIm', j));
|
||||
% COHs(acc_i+n_acc*(find(dirs==meas_dir)-1), find(dirs==exc_dir), :) = meas.(sprintf('FFT1_Coh_%i_1_RMS_Y_Val', j));
|
||||
|
||||
FRFs(find(dirs==meas_dir)+3*(acc_i-1), find(dirs==exc_dir), :) = exc_factor*meas_factor*meas.(sprintf('FFT1_H1_%i_1_Y_ReIm', j));
|
||||
COHs(find(dirs==meas_dir)+3*(acc_i-1), find(dirs==exc_dir), :) = meas.(sprintf('FFT1_Coh_%i_1_RMS_Y_Val', j));
|
||||
end
|
||||
end
|
||||
freqs = meas.FFT1_Coh_10_1_RMS_X_Val;
|
||||
#+end_src
|
||||
|
||||
* Analysis of some FRFs
|
||||
#+begin_src matlab
|
||||
acc_i = 3;
|
||||
acc_dir = 1;
|
||||
exc_dir = 1;
|
||||
|
||||
figure;
|
||||
|
||||
ax1 = subplot(2, 1, 1);
|
||||
hold on;
|
||||
plot(freqs, abs(squeeze(FRFs(acc_dir+3*(acc_i-1), exc_dir, :))));
|
||||
hold off;
|
||||
set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log');
|
||||
set(gca, 'XTickLabel',[]);
|
||||
ylabel('Amplitude');
|
||||
|
||||
ax2 = subplot(2, 1, 2);
|
||||
hold on;
|
||||
plot(freqs, mod(180+180/pi*phase(squeeze(FRFs(acc_dir+3*(acc_i-1), exc_dir, :))), 360)-180);
|
||||
hold off;
|
||||
ylim([-180, 180]); yticks(-180:90:180);
|
||||
xlabel('Frequency [Hz]'); ylabel('Phase [deg]');
|
||||
set(gca, 'xscale', 'log');
|
||||
|
||||
linkaxes([ax1,ax2],'x');
|
||||
xlim([1, 200]);
|
||||
#+end_src
|
||||
|
||||
|
||||
#+begin_src matlab
|
||||
figure;
|
||||
hold on;
|
||||
for i = 1:3*n_acc
|
||||
plot(freqs, squeeze(COHs(i, 1, :)), 'color', [0, 0, 0, 0.2]);
|
||||
end
|
||||
hold off;
|
||||
xlabel('Frequency [Hz]');
|
||||
ylabel('Coherence [\%]');
|
||||
#+end_src
|
||||
|
||||
|
||||
Composite Response Function.
|
||||
|
||||
We here sum the norm instead of the complex numbers.
|
||||
|
||||
#+begin_src matlab
|
||||
HHx = squeeze(sum(abs(FRFs(:, 1, :))));
|
||||
HHy = squeeze(sum(abs(FRFs(:, 2, :))));
|
||||
HHz = squeeze(sum(abs(FRFs(:, 3, :))));
|
||||
HH = squeeze(sum([HHx, HHy, HHz], 2));
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab
|
||||
exc_dir = 3;
|
||||
|
||||
figure;
|
||||
hold on;
|
||||
for i = 1:3*n_acc
|
||||
plot(freqs, abs(squeeze(FRFs(i, exc_dir, :))), 'color', [0, 0, 0, 0.2]);
|
||||
end
|
||||
plot(freqs, abs(HHx));
|
||||
plot(freqs, abs(HHy));
|
||||
plot(freqs, abs(HHz));
|
||||
plot(freqs, abs(HH), 'k');
|
||||
hold off;
|
||||
set(gca, 'XScale', 'lin'); set(gca, 'YScale', 'lin');
|
||||
xlabel('Frequency [Hz]'); ylabel('Amplitude');
|
||||
xlim([1, 200]);
|
||||
#+end_src
|
||||
|
||||
* From local coordinates to global coordinates with the FRFs
|
||||
#+begin_src matlab
|
||||
% Number of Solids * DOF for each solid / Number of excitation / frequency points
|
||||
FRFs_O = zeros(length(solid_names)*6, 3, 801);
|
||||
|
||||
for exc_dir = 1:3
|
||||
for solid_i = 1:length(solid_names)
|
||||
solids_i = solids.(solid_names{solid_i});
|
||||
|
||||
A = zeros(3*length(solids_i), 6);
|
||||
for i = 1:length(solids_i)
|
||||
A(3*(i-1)+1:3*i, 1:3) = eye(3);
|
||||
|
||||
A(3*(i-1)+1:3*i, 4:6) = [0 acc_pos(i, 3) -acc_pos(i, 2) ; -acc_pos(i, 3) 0 acc_pos(i, 1) ; acc_pos(i, 2) -acc_pos(i, 1) 0];
|
||||
end
|
||||
|
||||
for i = 1:801
|
||||
FRFs_O((solid_i-1)*6+1:solid_i*6, exc_dir, i) = A\FRFs((solids_i(1)-1)*3+1:solids_i(end)*3, exc_dir, i);
|
||||
end
|
||||
end
|
||||
end
|
||||
#+end_src
|
||||
|
||||
* Analysis of some FRF in the global coordinates
|
||||
#+begin_src matlab
|
||||
solid_i = 6;
|
||||
dir_i = 1;
|
||||
exc_dir = 1;
|
||||
|
||||
figure;
|
||||
|
||||
ax1 = subplot(2, 1, 1);
|
||||
hold on;
|
||||
plot(freqs, abs(squeeze(FRFs_O((solid_i-1)*6+dir_i, exc_dir, :))));
|
||||
hold off;
|
||||
set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log');
|
||||
set(gca, 'XTickLabel',[]);
|
||||
ylabel('Amplitude');
|
||||
|
||||
ax2 = subplot(2, 1, 2);
|
||||
hold on;
|
||||
plot(freqs, mod(180+180/pi*phase(squeeze(FRFs_O((solid_i-1)*6+dir_i, exc_dir, :))), 360)-180);
|
||||
hold off;
|
||||
ylim([-180, 180]); yticks(-180:90:180);
|
||||
xlabel('Frequency [Hz]'); ylabel('Phase [deg]');
|
||||
set(gca, 'xscale', 'log');
|
||||
|
||||
linkaxes([ax1,ax2],'x');
|
||||
xlim([1, 200]);
|
||||
#+end_src
|
||||
|
||||
* Compare global coordinates to local coordinates
|
||||
#+begin_src matlab
|
||||
solid_i = 1;
|
||||
acc_dir = 3;
|
||||
exc_dir = 3;
|
||||
|
||||
figure;
|
||||
|
||||
ax1 = subplot(2, 1, 1);
|
||||
hold on;
|
||||
for i = solids.(solid_names{solid_i})
|
||||
plot(freqs, abs(squeeze(FRFs(acc_dir+3*(i-1), exc_dir, :))));
|
||||
end
|
||||
plot(freqs, abs(squeeze(FRFs_O((solid_i-1)*6+acc_dir, exc_dir, :))), '-k');
|
||||
hold off;
|
||||
set(gca, 'XScale', 'log'); set(gca, 'YScale', 'log');
|
||||
set(gca, 'XTickLabel',[]);
|
||||
ylabel('Amplitude');
|
||||
|
||||
ax2 = subplot(2, 1, 2);
|
||||
hold on;
|
||||
for i = solids.(solid_names{solid_i})
|
||||
plot(freqs, mod(180+180/pi*phase(squeeze(FRFs(acc_dir+3*(i-1), exc_dir, :))), 360)-180);
|
||||
end
|
||||
plot(freqs, mod(180+180/pi*phase(squeeze(FRFs_O((solid_i-1)*6+acc_dir, exc_dir, :))), 360)-180, '-k');
|
||||
hold off;
|
||||
ylim([-180, 180]); yticks(-180:90:180);
|
||||
xlabel('Frequency [Hz]'); ylabel('Phase [deg]');
|
||||
set(gca, 'xscale', 'log');
|
||||
|
||||
linkaxes([ax1,ax2],'x');
|
||||
xlim([1, 200]);
|
||||
#+end_src
|
||||
|
||||
|
||||
* TODO Synthesis of FRF curves
|
||||
|
||||
Loading…
Reference in New Issue
Block a user