Add Result show

modal-analysis/index.org

@@ -232,9 +232,132 @@ An exponential window (figure [[fig:window_response]]) is used for the response
 #+attr_html: :width 500px
 [[file:img/parameters/window_response.jpg]]
 
-* FRF and COH Results
+* Frequency Response Functions and Coherence Results
+** Matlab Init                                              :noexport:ignore:
+#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
+  <<matlab-dir>>
+#+end_src
+
+#+begin_src matlab :exports none :results silent :noweb yes
+  <<matlab-init>>
+#+end_src
+
+** Load Data
+#+begin_src matlab
+  meas1_raw = load('modal_analysis/raw_data/Measurement1.mat');
+#+end_src
+
+** Raw Force Data
+#+begin_src matlab :exports none
+  time = linspace(0, meas1_raw.Track1_X_Resolution*length(meas1_raw.Track1), length(meas1_raw.Track1));
+  figure;
+  plot(time, meas1_raw.Track1);
+  xlabel('Time [s]');
+  ylabel('Force [N]');
+#+end_src
+
+#+HEADER: :tangle no :exports results :results none :noweb yes
+#+begin_src matlab :var filepath="figs/raw_data_force.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png")
+  <<plt-matlab>>
+#+end_src
+
+#+NAME: fig:raw_data_force
+#+CAPTION: Raw Force Data from Hammer Blow
+[[file:figs/raw_data_force.png]]
+
+#+begin_src matlab :exports none
+  xlim([22.1, 22.3]);
+#+end_src
+
+#+HEADER: :tangle no :exports results :results none :noweb yes
+#+begin_src matlab :var filepath="figs/raw_data_force_zoom.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png")
+  <<plt-matlab>>
+#+end_src
+
+#+NAME: fig:raw_data_force_zoom
+#+CAPTION: Raw Force Data from Hammer Blow - Zoom
+[[file:figs/raw_data_force_zoom.png]]
+
+** Raw Response Data
+#+begin_src matlab :exports none
+  figure;
+  plot(time, meas1_raw.Track2);
+  xlabel('Time [s]');
+  ylabel('Acceleration [m/s2]');
+#+end_src
+
+#+HEADER: :tangle no :exports results :results none :noweb yes
+#+begin_src matlab :var filepath="figs/raw_data_acceleration.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png")
+  <<plt-matlab>>
+#+end_src
+
+#+NAME: fig:raw_data_acceleration
+#+CAPTION: Raw Acceleration Data from Accelerometer
+[[file:figs/raw_data_acceleration.png]]
+
+#+begin_src matlab :exports none
+  xlim([22.1, 22.5]);
+#+end_src
+
+#+HEADER: :tangle no :exports results :results none :noweb yes
+#+begin_src matlab :var filepath="figs/raw_data_acceleration_zoom.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png")
+  <<plt-matlab>>
+#+end_src
+
+#+NAME: fig:raw_data_acceleration_zoom
+#+CAPTION: Raw Acceleration Data from Accelerometer - Zoom
+[[file:figs/raw_data_acceleration_zoom.png]]
+
+** Load Data
+#+begin_src matlab
+  meas1 = load('modal_analysis/frf_coh/Measurement1.mat');
+#+end_src
+
+** FRF and Coherence Results
+#+begin_src matlab :exports none
+  figure;
+  ax1 = subplot(2, 1, 1);
+  plot(meas1.FFT1_AvSpc_2_RMS_X_Val, meas1.FFT1_AvXSpc_2_1_RMS_Y_Mod);
+  set(gca, 'XTickLabel',[]);
+  ylabel('Magnitude');
+
+  ax2 = subplot(2, 1, 2);
+  plot(meas1.FFT1_AvSpc_2_RMS_X_Val, meas1.FFT1_AvXSpc_2_1_RMS_Y_Phas);
+  ylim([-180, 180]);
+  yticks([-180, -90, 0, 90, 180]);
+  xlabel('Frequency [Hz]'); ylabel('Phase [deg]');
+
+  linkaxes([ax1,ax2],'x');
+#+end_src
+
+#+HEADER: :tangle no :exports results :results none :noweb yes
+#+begin_src matlab :var filepath="figs/frf_result_example.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png")
+  <<plt-matlab>>
+#+end_src
+
+#+NAME: fig:frf_result_example
+#+CAPTION: Example of one measured FRF
+[[file:figs/frf_result_example.png]]
+
+#+begin_src matlab :exports none
+  figure;
+  plot(meas1.FFT1_AvSpc_2_RMS_X_Val, meas1.FFT1_Coh_2_1_RMS_Y_Val);
+  xlabel('Frequency [Hz]');
+  ylabel('Coherence');
+#+end_src
+
+#+HEADER: :tangle no :exports results :results none :noweb yes
+#+begin_src matlab :var filepath="figs/coh_result_example.pdf" :var figsize="wide-normal" :post pdf2svg(file=*this*, ext="png")
+  <<plt-matlab>>
+#+end_src
+
+#+NAME: fig:coh_result_example
+#+CAPTION: Example of one measured Coherence
+[[file:figs/coh_result_example.png]]
 
 * Mode Shapes
+Multiple modal extraction techniques can be used (SIMO, MIMO, narrow band, wide band, ...).
+First preliminary results on 10 identified modes are presented here.
 
 #+name: fig:mode1
 #+caption: Mode 1
@@ -276,6 +399,110 @@ An exponential window (figure [[fig:window_response]]) is used for the response
 #+caption: Mode 10
 [[file:img/modes/mode10.gif]]
 
+* Obtained Modal Matrices
+From the modal analysis software, we can export the obtained *eigen matrices*:
+\[ \begin{bmatrix}
+  \omega_1^2 &        & 0 \\
+             & \ddots &   \\
+  0          &        & \omega_n^2
+\end{bmatrix}; \quad \Psi = \begin{bmatrix}
+  & & \\
+  \{\psi_1\} & \dots & \{\psi_n\} \\
+  & &
+\end{bmatrix} \]
+
+where $\bar{\omega}_r^2$ is the $r^\text{th}$ eigenvalue squared and $\{\phi\}_r$ is a description of the corresponding *mode shape*.
+
+The file containing the eigen frequencies and mode shapes are shown below (for the first mode).
+
+#+begin_src bash :results output :exports results :eval no-export
+  sed 80q modal_analysis/modes_propres_narband.asc
+#+end_src
+
+#+RESULTS:
+#+begin_example
+Created by N-Modal
+Estimator: cmif
+18-Jun-19 16:31:25
+
+
+Mode 1
+freq    = 11.11191Hz
+damp    = 10.51401%
+modal A =   8.52879e+003-2.29043e+003i
+modal B =  -9.64203e+004-6.08978e+005i
+Mode matrix of local coordinate [DOF: Re IM]
+     1X+:  -9.34637e-002   4.52445e-002
+     1Y+:   2.33790e-001   1.41439e-003
+     1Z+:  -1.73754e-002   6.02449e-003
+     2X+:  -7.42108e-002   3.91543e-002
+     2Y+:   2.41566e-001  -1.44869e-003
+     2Z+:  -5.99285e-003   2.10370e-003
+     4X+:  -1.02163e-001   2.79561e-002
+     4Y+:   2.29048e-001   2.89782e-002
+     4Z+:  -2.85130e-002   1.77132e-004
+     5X+:  -8.77132e-002   3.34081e-002
+     5Y+:   2.14182e-001   2.14655e-002
+     5Z+:  -1.54521e-002   1.26682e-002
+     6X+:  -7.90143e-002   2.42583e-002
+     6Y+:   2.20669e-001   2.12738e-002
+     6Z+:   4.60755e-002   4.96406e-003
+     7X+:  -7.79654e-002   2.58385e-002
+     7Y+:   2.06861e-001   3.48019e-002
+     7Z+:  -1.78311e-002  -1.29704e-002
+     8X+:  -8.49357e-002   3.55200e-002
+     8Y+:   2.07470e-001   3.59745e-002
+     8Z+:  -7.66974e-002  -3.19813e-003
+     9X+:  -7.38565e-002   1.95146e-002
+     9Y+:   2.17403e-001   2.01550e-002
+     9Z+:  -1.77073e-002  -3.46414e-003
+    10X+:  -7.77587e-002   2.36700e-002
+    10Y+:   2.35654e-001  -2.14540e-002
+    10Z+:   7.94165e-002  -2.45897e-002
+    11X+:  -8.17972e-002   2.20583e-002
+    11Y+:   2.20906e-001  -4.30164e-003
+    11Z+:  -5.60520e-003   3.10187e-003
+    12X+:  -8.64261e-002   3.66022e-002
+    12Y+:   2.15000e-001  -5.74661e-003
+    12Z+:  -1.22622e-001   4.11767e-002
+    13X+:  -4.25169e-002   1.56602e-002
+    13Y+:   5.31036e-002  -1.73951e-002
+    13Z+:  -4.07130e-002   1.26884e-002
+    14X+:  -3.85032e-002   1.29431e-002
+    14Y+:   5.36716e-002  -1.80868e-002
+    14Z+:   1.00367e-001  -3.48798e-002
+    15X+:  -4.25524e-002   1.46363e-002
+    15Y+:   5.19668e-002  -1.69744e-002
+    15Z+:   5.89747e-003  -2.32428e-003
+    16X+:  -4.31268e-002   1.38332e-002
+    16Y+:   5.07545e-002  -1.53045e-002
+    16Z+:  -1.04172e-001   3.17984e-002
+    17X+:  -2.69757e-002   9.07955e-003
+    17Y+:   3.07837e-002  -9.44663e-003
+    17Z+:  -7.63502e-003   1.68203e-003
+    18X+:  -3.00097e-002   9.23966e-003
+    18Y+:   2.83585e-002  -8.97747e-003
+    18Z+:   1.52467e-001  -4.78675e-002
+    19X+:  -2.70223e-002   6.16478e-003
+    19Y+:   3.06149e-002  -6.25382e-003
+    19Z+:  -4.84888e-003   1.93970e-003
+    20X+:  -2.90976e-002   7.13184e-003
+    20Y+:   3.36738e-002  -7.30875e-003
+    20Z+:  -1.66902e-001   3.93419e-002
+     3X+:  -9.40720e-002   3.93724e-002
+     3Y+:   2.52307e-001   0.00000e+000
+     3Z+:  -1.53864e-002  -9.25720e-004
+    21X+:  -7.91940e-002   4.39648e-002
+    21Y+:   2.04567e-001   9.49987e-003
+    21Z+:  -1.56087e-002   7.08838e-003
+    22X+:  -1.01070e-001   3.13534e-002
+    22Y+:   1.92270e-001   1.80423e-002
+    22Z+:   2.93053e-003  -1.97308e-003
+    23X+:  -8.86455e-002   4.29906e-002
+    23Z+:  -3.38351e-002   1.81362e-003
+    23Y-:  -1.90862e-001  -2.53414e-002
+#+end_example
+
 * Problem with AirLoc System
 4 Airloc Levelers are used for the granite (figure [[fig:airloc]]).
 
@@ -284,6 +511,6 @@ An exponential window (figure [[fig:window_response]]) is used for the response
 #+attr_html: :width 500px
 [[file:img/airloc/IMG_20190618_155522.jpg]]
 
-They are probably not well leveled so that could explain the first modes at 11Hz and 17Hz.
+They are probably *not well leveled* so that could explain the first modes at 11Hz and 17Hz.
 
 * Spatial Mode Extraction