Add analysis about simultaneous rotation and translation

disturbance-sr-rz/index.org

@@ -97,11 +97,12 @@ A movie showing the experiment is shown on figure [[fig:exp_sl_sp_gif]].
 
 ** 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>>
+  <<matlab-dir>>
+  addpath('../src');
 #+end_src
 
 #+begin_src matlab :exports none :results silent :noweb yes
-<<matlab-init>>
+  <<matlab-init>>
 #+end_src
 
 ** Load data
@@ -111,6 +112,19 @@ A movie showing the experiment is shown on figure [[fig:exp_sl_sp_gif]].
   sp = load('mat/data_026.mat', 'data'); sp = sp.data;
 #+end_src
 
+** Voltage to Velocity
+We convert the measured voltage to velocity using the function =voltageToVelocityL22= (accessible [[file:~/MEGA/These/meas/src/index.org][here]]).
+
+#+begin_src matlab
+  of(:, 1) = voltageToVelocityL22(of(:, 1), of(:, 3), 60);
+  sr(:, 1) = voltageToVelocityL22(sr(:, 1), sr(:, 3), 60);
+  sp(:, 1) = voltageToVelocityL22(sp(:, 1), sp(:, 3), 60);
+
+  of(:, 2) = voltageToVelocityL22(of(:, 2), of(:, 3), 60);
+  sr(:, 2) = voltageToVelocityL22(sr(:, 2), sr(:, 3), 60);
+  sp(:, 2) = voltageToVelocityL22(sp(:, 2), sp(:, 3), 60);
+#+end_src
+
 ** Time domain plots
 #+begin_src matlab
   figure;
@@ -119,8 +133,8 @@ A movie showing the experiment is shown on figure [[fig:exp_sl_sp_gif]].
   plot(sr(:, 3), sr(:, 1), 'DisplayName', 'Slip-Ring - 6rpm');
   plot(of(:, 3), of(:, 1), 'DisplayName', 'OFF');
   hold off;
-  xlabel('Time [s]'); ylabel('Voltage [V]');
-  xlim([0, 100]); ylim([-10 10]);
+  xlabel('Time [s]'); ylabel('Velocity [m/s]');
+  xlim([0, 100]);
   legend('Location', 'northeast');
 #+end_src
 
@@ -131,7 +145,7 @@ A movie showing the experiment is shown on figure [[fig:exp_sl_sp_gif]].
 #+end_src
 
 #+NAME: fig:slip_ring_spindle_marble_time
-#+CAPTION: Measurement of the geophone located on the marble - Time domain
+#+CAPTION: Velocity as measured by the geophone located on the marble - Time domain
 #+RESULTS: fig:slip_ring_spindle_marble_time
 [[file:figs/slip_ring_spindle_marble_time.png]]
 
@@ -142,8 +156,8 @@ A movie showing the experiment is shown on figure [[fig:exp_sl_sp_gif]].
   plot(sr(:, 3), sr(:, 2), 'DisplayName', 'Only Slip-Ring');
   plot(of(:, 3), of(:, 2), 'DisplayName', 'OFF');
   hold off;
-  xlabel('Time [s]'); ylabel('Voltage [V]');
-  xlim([0, 100]); ylim([-10 10]);
+  xlabel('Time [s]'); ylabel('Velocity [m/s]');
+  xlim([0, 100]);
   legend('Location', 'northeast');
 #+end_src
 
@@ -154,7 +168,7 @@ A movie showing the experiment is shown on figure [[fig:exp_sl_sp_gif]].
 #+end_src
 
 #+NAME: fig:slip_ring_spindle_sample_time
-#+CAPTION: Measurement of the geophone at the sample location - Time domain
+#+CAPTION: Velocity as measured by the geophone at the sample location - Time domain
 #+RESULTS: fig:slip_ring_spindle_sample_time
 [[file:figs/slip_ring_spindle_sample_time.png]]
 
@@ -184,7 +198,7 @@ And for the geophone located at the sample position.
   [pxsp_s, ~] = pwelch(sp(:, 2), win, [], [], Fs);
 #+end_src
 
-And we plot the ASD of the measured signals:
+And we plot the ASD of the measured velocities:
 - figure [[fig:sr_sp_psd_marble_compare]] for the geophone located on the marble
 - figure [[fig:sr_sp_psd_sample_compare]] for the geophone at the sample position
 
@@ -197,9 +211,9 @@ And we plot the ASD of the measured signals:
   hold off;
   set(gca, 'xscale', 'log');
   set(gca, 'yscale', 'log');
-  xlabel('Frequency [Hz]'); ylabel('ASD of the measured Voltage $\left[\frac{V}{\sqrt{Hz}}\right]$')
+  xlabel('Frequency [Hz]'); ylabel('ASD of the measured velocity $\left[\frac{m/s}{\sqrt{Hz}}\right]$')
   legend('Location', 'southwest');
-  xlim([0.1, 500]);
+  xlim([2, 500]);
 #+end_src
 
 #+NAME: fig:sr_sp_psd_marble_compare
@@ -209,7 +223,7 @@ And we plot the ASD of the measured signals:
 #+end_src
 
 #+NAME: fig:sr_sp_psd_marble_compare
-#+CAPTION: Comparison of the ASD of the measured voltage from the Geophone on the marble
+#+CAPTION: Comparison of the ASD of the measured velocities from the Geophone on the marble
 #+RESULTS: fig:sr_sp_psd_marble_compare
 [[file:figs/sr_sp_psd_marble_compare.png]]
 
@@ -222,9 +236,9 @@ And we plot the ASD of the measured signals:
   hold off;
   set(gca, 'xscale', 'log');
   set(gca, 'yscale', 'log');
-  xlabel('Frequency [Hz]'); ylabel('ASD of the measured Voltage $\left[\frac{V}{\sqrt{Hz}}\right]$')
+  xlabel('Frequency [Hz]'); ylabel('ASD of the measured velocity $\left[\frac{m/s}{\sqrt{Hz}}\right]$')
   legend('Location', 'southwest');
-  xlim([0.1, 500]);
+  xlim([2, 500]);
 #+end_src
 
 #+NAME: fig:sr_sp_psd_sample_compare
@@ -234,14 +248,15 @@ And we plot the ASD of the measured signals:
 #+end_src
 
 #+NAME: fig:sr_sp_psd_sample_compare
-#+CAPTION: Comparison of the ASD of the measured voltage from the Geophone at the sample location
+#+CAPTION: Comparison of the ASD of the measured velocities from the Geophone at the sample location
 #+RESULTS: fig:sr_sp_psd_sample_compare
 [[file:figs/sr_sp_psd_sample_compare.png]]
 
 ** Conclusion
 #+begin_important
-  The slip-ring rotation induces almost no vibrations on the marble, and only a little vibrations on the sample above 100Hz.
+  - The slip-ring rotation induces almost no vibrations on the marble, and only a little vibrations on the sample above 100Hz.
 
-  The spindle rotation induces a lot of vibrations of the sample as well as on the granite.
-  There is a huge peak at 24Hz on the sample vibration but not on the granite vibration.
+  - The spindle rotation induces a lot of vibrations of the sample as well as on the granite.
+  - There is a huge peak at 24Hz on the sample vibration but not on the granite vibration. The peak is really sharp, could this be due to magnetic effect?
+    - Should redo the measurement with piezo accelerometers
 #+end_important