Change one measurement of folder
This commit is contained in:
BIN
disturbance-control-system/figs/time_domain_relative_disp.png
Normal file
BIN
disturbance-control-system/figs/time_domain_relative_disp.png
Normal file
Binary file not shown.
|
After Width: | Height: | Size: 137 KiB |
File diff suppressed because it is too large
Load Diff
@@ -1,4 +1,4 @@
|
||||
#+TITLE:Measurements
|
||||
#+TITLE:Effect on the control system of each stages on the vibration of the station
|
||||
:DRAWER:
|
||||
#+STARTUP: overview
|
||||
|
||||
@@ -398,7 +398,11 @@ All the control systems are turned OFF, then, they are turned on one at a time.
|
||||
|
||||
Each measurement are done during 100s.
|
||||
|
||||
The settings of the voltage amplifier are shown on figure [[fig:amplifier_settings]].
|
||||
The settings of the voltage amplifier are shown on figure [[fig:amplifier_settings]]:
|
||||
- gain of 60dB
|
||||
- AC/DC option set on DC
|
||||
- Low pass filter set at 1kHz
|
||||
|
||||
A first order low pass filter with a cut-off frequency of 1kHz is added before the voltage amplifier.
|
||||
|
||||
#+name: tab:control_system_on_off
|
||||
@@ -444,22 +448,44 @@ We load the data of the z axis of two geophones.
|
||||
d_he = load('mat/data_018.mat', 'data'); d_he = d_he.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
|
||||
gain = 60; % [dB]
|
||||
|
||||
d_of(:, 1) = voltageToVelocityL22(d_of(:, 1), d_of(:, 3), gain);
|
||||
d_ty(:, 1) = voltageToVelocityL22(d_ty(:, 1), d_ty(:, 3), gain);
|
||||
d_ry(:, 1) = voltageToVelocityL22(d_ry(:, 1), d_ry(:, 3), gain);
|
||||
d_sr(:, 1) = voltageToVelocityL22(d_sr(:, 1), d_sr(:, 3), gain);
|
||||
d_rz(:, 1) = voltageToVelocityL22(d_rz(:, 1), d_rz(:, 3), gain);
|
||||
d_he(:, 1) = voltageToVelocityL22(d_he(:, 1), d_he(:, 3), gain);
|
||||
|
||||
d_of(:, 2) = voltageToVelocityL22(d_of(:, 2), d_of(:, 3), gain);
|
||||
d_ty(:, 2) = voltageToVelocityL22(d_ty(:, 2), d_ty(:, 3), gain);
|
||||
d_ry(:, 2) = voltageToVelocityL22(d_ry(:, 2), d_ry(:, 3), gain);
|
||||
d_sr(:, 2) = voltageToVelocityL22(d_sr(:, 2), d_sr(:, 3), gain);
|
||||
d_rz(:, 2) = voltageToVelocityL22(d_rz(:, 2), d_rz(:, 3), gain);
|
||||
d_he(:, 2) = voltageToVelocityL22(d_he(:, 2), d_he(:, 3), gain);
|
||||
#+end_src
|
||||
|
||||
** Analysis - Time Domain
|
||||
First, we can look at the time domain data and compare all the measurements:
|
||||
- comparison for the geophone at the sample location (figure [[fig:time_domain_sample_lpf]])
|
||||
- comparison for the geophone on the granite (figure [[fig:time_domain_marble_lpf]])
|
||||
- relative displacement of the sample with respect to the marble (figure [[fig:time_domain_marble_lpf]])
|
||||
|
||||
#+begin_src matlab :results none
|
||||
#+begin_src matlab
|
||||
figure;
|
||||
hold on;
|
||||
plot(d_of(:, 3), d_of(:, 2), 'DisplayName', 'All OFF';
|
||||
plot(d_of(:, 3), d_of(:, 2), 'DisplayName', 'All OFF');
|
||||
plot(d_ty(:, 3), d_ty(:, 2), 'DisplayName', 'Ty ON');
|
||||
plot(d_ry(:, 3), d_ry(:, 2), 'DisplayName', 'Ry ON');
|
||||
plot(d_sr(:, 3), d_sr(:, 2), 'DisplayName', 'S-R ON');
|
||||
plot(d_rz(:, 3), d_rz(:, 2), 'DisplayName', 'Rz ON');
|
||||
plot(d_he(:, 3), d_he(:, 2), 'DisplayName', 'Hexa ON');
|
||||
hold off;
|
||||
xlabel('Time [s]'); ylabel('Voltage [V]');
|
||||
xlabel('Time [s]'); ylabel('Velocity [m/s]');
|
||||
xlim([0, 50]);
|
||||
legend('Location', 'bestoutside');
|
||||
#+end_src
|
||||
@@ -476,7 +502,7 @@ First, we can look at the time domain data and compare all the measurements:
|
||||
[[file:figs/time_domain_sample_lpf.png]]
|
||||
|
||||
|
||||
#+begin_src matlab :results none
|
||||
#+begin_src matlab
|
||||
figure;
|
||||
hold on;
|
||||
plot(d_of(:, 3), d_of(:, 1), 'DisplayName', 'All OFF');
|
||||
@@ -486,7 +512,7 @@ First, we can look at the time domain data and compare all the measurements:
|
||||
plot(d_rz(:, 3), d_rz(:, 1), 'DisplayName', 'Rz ON');
|
||||
plot(d_he(:, 3), d_he(:, 1), 'DisplayName', 'Hexa ON');
|
||||
hold off;
|
||||
xlabel('Time [s]'); ylabel('Voltage [V]');
|
||||
xlabel('Time [s]'); ylabel('Velocity [m/s]');
|
||||
xlim([0, 50]);
|
||||
legend('Location', 'bestoutside');
|
||||
#+end_src
|
||||
@@ -502,6 +528,32 @@ First, we can look at the time domain data and compare all the measurements:
|
||||
#+RESULTS: fig:time_domain_marble_lpf
|
||||
[[file:figs/time_domain_marble_lpf.png]]
|
||||
|
||||
#+begin_src matlab
|
||||
figure;
|
||||
hold on;
|
||||
plot(d_of(:, 3), 1e6*lsim(1/(1+s/(2*pi*0.5)), d_of(:, 2)-d_of(:, 1), d_of(:, 3)), 'DisplayName', 'All OFF');
|
||||
plot(d_ty(:, 3), 1e6*lsim(1/(1+s/(2*pi*0.5)), d_ty(:, 2)-d_ty(:, 1), d_ty(:, 3)), 'DisplayName', 'Ty ON');
|
||||
plot(d_ry(:, 3), 1e6*lsim(1/(1+s/(2*pi*0.5)), d_ry(:, 2)-d_ry(:, 1), d_ry(:, 3)), 'DisplayName', 'Ry ON');
|
||||
plot(d_sr(:, 3), 1e6*lsim(1/(1+s/(2*pi*0.5)), d_sr(:, 2)-d_sr(:, 1), d_sr(:, 3)), 'DisplayName', 'S-R ON');
|
||||
plot(d_rz(:, 3), 1e6*lsim(1/(1+s/(2*pi*0.5)), d_rz(:, 2)-d_rz(:, 1), d_rz(:, 3)), 'DisplayName', 'Rz ON');
|
||||
plot(d_he(:, 3), 1e6*lsim(1/(1+s/(2*pi*0.5)), d_he(:, 2)-d_he(:, 1), d_he(:, 3)), 'DisplayName', 'Hexa ON');
|
||||
hold off;
|
||||
xlabel('Time [s]'); ylabel('Relative Displacement [$\mu m$]');
|
||||
xlim([0, 50]);
|
||||
legend('Location', 'bestoutside');
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:time_domain_relative_disp
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/time_domain_relative_disp.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:time_domain_relative_disp
|
||||
#+CAPTION: Relative displacement of the sample with respect to the marble
|
||||
#+RESULTS: fig:time_domain_relative_disp
|
||||
[[file:figs/time_domain_relative_disp.png]]
|
||||
|
||||
** Analysis - Frequency Domain
|
||||
#+begin_src matlab :results none
|
||||
dt = d_of(2, 3) - d_of(1, 3);
|
||||
@@ -534,7 +586,7 @@ And we compare all the signals (figures [[fig:psd_sample_comp_lpf]] and [[fig:ps
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log');
|
||||
set(gca, 'yscale', 'log');
|
||||
xlabel('Frequency [Hz]'); ylabel('Amplitude Spectral Density $\left[\frac{V}{\sqrt{Hz}}\right]$')
|
||||
xlabel('Frequency [Hz]'); ylabel('Amplitude Spectral Density $\left[\frac{m/s}{\sqrt{Hz}}\right]$')
|
||||
xlim([0.1, 500]);
|
||||
legend('Location', 'southwest');
|
||||
#+end_src
|
||||
@@ -546,7 +598,7 @@ And we compare all the signals (figures [[fig:psd_sample_comp_lpf]] and [[fig:ps
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:psd_sample_comp_lpf
|
||||
#+CAPTION: Amplitude Spectral Density of the signal coming from the top geophone
|
||||
#+CAPTION: Amplitude Spectral Density of the sample velocity
|
||||
#+RESULTS: fig:psd_sample_comp_lpf
|
||||
[[file:figs/psd_sample_comp_lpf.png]]
|
||||
|
||||
@@ -562,7 +614,7 @@ And we compare all the signals (figures [[fig:psd_sample_comp_lpf]] and [[fig:ps
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:psd_sample_comp_high_freq_lpf
|
||||
#+CAPTION: Amplitude Spectral Density of the signal coming from the top geophone (zoom at high frequencies)
|
||||
#+CAPTION: Amplitude Spectral Density of the sample velocity (zoom at high frequencies)
|
||||
#+RESULTS: fig:psd_sample_comp_high_freq_lpf
|
||||
[[file:figs/psd_sample_comp_high_freq_lpf.png]]
|
||||
|
||||
@@ -590,7 +642,7 @@ And we compare the Amplitude Spectral Densities (figures [[fig:psd_marble_comp_l
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log');
|
||||
set(gca, 'yscale', 'log');
|
||||
xlabel('Frequency [Hz]'); ylabel('Amplitude Spectral Density $\left[\frac{V}{\sqrt{Hz}}\right]$')
|
||||
xlabel('Frequency [Hz]'); ylabel('Amplitude Spectral Density $\left[\frac{m/s}{\sqrt{Hz}}\right]$')
|
||||
xlim([0.1, 500]);
|
||||
legend('Location', 'northeast');
|
||||
#+end_src
|
||||
@@ -602,7 +654,7 @@ And we compare the Amplitude Spectral Densities (figures [[fig:psd_marble_comp_l
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:psd_marble_comp_lpf
|
||||
#+CAPTION: Amplitude Spectral Density of the signal coming from geophone located on the marble
|
||||
#+CAPTION: Amplitude Spectral Density of the marble velocity
|
||||
#+RESULTS: fig:psd_marble_comp_lpf
|
||||
[[file:figs/psd_marble_comp_lpf.png]]
|
||||
|
||||
@@ -619,7 +671,7 @@ And we compare the Amplitude Spectral Densities (figures [[fig:psd_marble_comp_l
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:psd_marble_comp_lpf_high_freq
|
||||
#+CAPTION: Amplitude Spectral Density of the signal coming from the geophone located on the marble (zoom at high frequencies)
|
||||
#+CAPTION: Amplitude Spectral Density of the marble velocity (zoom at high frequencies)
|
||||
#+RESULTS: fig:psd_marble_comp_lpf_high_freq
|
||||
[[file:figs/psd_marble_comp_lpf_high_freq.png]]
|
||||
|
||||
@@ -779,404 +831,3 @@ First, we compute the Power Spectral Density of the signals coming from the Geop
|
||||
#+begin_important
|
||||
Even tough the Hexapod's driver vibrates quite a lot, it does not generate significant vibrations of the granite when either placed on the granite or on the ground.
|
||||
#+end_important
|
||||
|
||||
* Transfer function from one stage to the other
|
||||
:PROPERTIES:
|
||||
:header-args:matlab+: :tangle matlab/tf_stages_geophone.m
|
||||
:header-args:matlab+: :comments org :mkdirp yes
|
||||
:END:
|
||||
<<sec:tf_stages_geophone>>
|
||||
|
||||
** ZIP file containing the data and matlab files :ignore:
|
||||
#+begin_src bash :exports none :results none
|
||||
if [ matlab/tf_stages_geophone.m -nt data/tf_stages_geophone.zip ]; then
|
||||
cp matlab/tf_stages_geophone.m tf_stages_geophone.m;
|
||||
zip data/tf_stages_geophone \
|
||||
mat/data_010.mat \
|
||||
mat/data_011.mat \
|
||||
mat/data_012.mat \
|
||||
tf_stages_geophone.m
|
||||
rm tf_stages_geophone.m;
|
||||
fi
|
||||
#+end_src
|
||||
|
||||
#+begin_note
|
||||
All the files (data and Matlab scripts) are accessible [[file:data/tf_stages_geophone.zip][here]].
|
||||
#+end_note
|
||||
|
||||
** Experimental Setup
|
||||
For all the measurements in this section:
|
||||
- all the control stages are OFF.
|
||||
- the measurements are on the $z$ direction
|
||||
|
||||
*** From Marble to Ty - =mat/meas_010.mat=
|
||||
One geophone is on the marble, one is on the Ty stage (see figures [[fig:setup_m_ty]], [[fig:setup_m_ty_zoom]] and [[fig:setup_m_ty_top]]).
|
||||
|
||||
The =data= array contains the following columns:
|
||||
| Column | Description |
|
||||
|--------+-------------|
|
||||
| 1 | Ground |
|
||||
| 2 | Ty |
|
||||
| 3 | Time |
|
||||
|
||||
#+name: fig:setup_m_ty
|
||||
#+caption: Setup with one geophone on the marble and one on top of the translation stage
|
||||
#+attr_html: :width 500px
|
||||
[[file:./img/IMG_20190430_155330.jpg]]
|
||||
|
||||
#+name: fig:setup_m_ty_zoom
|
||||
#+caption: Setup with one geophone on the marble and one on top of the translation stage - Close up view
|
||||
#+attr_html: :width 500px
|
||||
[[file:./img/IMG_20190430_155335.jpg]]
|
||||
|
||||
#+name: fig:setup_m_ty_top
|
||||
#+caption: Setup with one geophone on the marble and one on top of the translation stage - Top view
|
||||
#+attr_html: :width 500px
|
||||
[[file:./img/IMG_20190430_155342.jpg]]
|
||||
|
||||
*** From Marble to Ry - =mat/meas_011.mat=
|
||||
One geophone is on the marble, one is on the Ry stage (see figure [[fig:setup_m_ry]])
|
||||
|
||||
The =data= array contains the following columns:
|
||||
| Column | Description |
|
||||
|--------+-------------|
|
||||
| 1 | Ground |
|
||||
| 2 | Ry |
|
||||
| 3 | Time |
|
||||
|
||||
#+name: fig:setup_m_ry
|
||||
#+caption: Setup with one geophone on the marble and one on top of the Tilt Stage
|
||||
#+attr_html: :width 500px
|
||||
[[file:./img/IMG_20190430_163919.jpg]]
|
||||
|
||||
*** From Ty to Ry - =mat/meas_012.mat=
|
||||
One geophone is on the Ty stage, one is on the Ry stage (see figures [[fig:setup_ty_ry]], [[fig:setup_ty_ry_top]] and [[fig:setup_ty_ry_zoom]])
|
||||
One geophone on the Ty stage, one geophone on the Ry stage.
|
||||
|
||||
The =data= array contains the following columns:
|
||||
| Column | Description |
|
||||
|--------+-------------|
|
||||
| 1 | Ty |
|
||||
| 2 | Ry |
|
||||
| 3 | Time |
|
||||
|
||||
#+name: fig:setup_ty_ry
|
||||
#+caption: Setup with one geophone on the translation stage and one on top of the Tilt Stage
|
||||
#+attr_html: :width 500px
|
||||
[[file:./img/IMG_20190430_170405.jpg]]
|
||||
|
||||
#+name: fig:setup_ty_ry_top
|
||||
#+caption: Setup with one geophone on the translation stage and one on top of the Tilt Stage - Top view
|
||||
#+attr_html: :width 500px
|
||||
[[file:./img/IMG_20190430_170418.jpg]]
|
||||
|
||||
#+name: fig:setup_ty_ry_zoom
|
||||
#+caption: Setup with one geophone on the translation stage and one on top of the Tilt Stage - Close up view
|
||||
#+attr_html: :width 500px
|
||||
[[file:./img/IMG_20190430_170425.jpg]]
|
||||
|
||||
** 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
|
||||
We load the data of the z axis of two geophones.
|
||||
#+begin_src matlab :results none
|
||||
m_ty = load('mat/data_010.mat', 'data'); m_ty = m_ty.data;
|
||||
m_ry = load('mat/data_011.mat', 'data'); m_ry = m_ry.data;
|
||||
ty_ry = load('mat/data_012.mat', 'data'); ty_ry = ty_ry.data;
|
||||
#+end_src
|
||||
|
||||
** Analysis - Time Domain
|
||||
First, we can look at the time domain data.
|
||||
|
||||
#+begin_src matlab :results none
|
||||
figure;
|
||||
hold on;
|
||||
plot(m_ty(:, 3), m_ty(:, 1), 'DisplayName', 'Marble');
|
||||
plot(m_ty(:, 3), m_ty(:, 2), 'DisplayName', 'Ty');
|
||||
hold off;
|
||||
xlabel('Time [s]'); ylabel('Voltage [V]');
|
||||
legend('Location', 'northeast');
|
||||
xlim([0, 500]);
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:time_domain_m_ty
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/time_domain_m_ty.pdf" :var figsize="wide-normal" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:time_domain_m_ty
|
||||
#+CAPTION: Time domain - Marble and translation stage
|
||||
#+RESULTS: fig:time_domain_m_ty
|
||||
[[file:figs/time_domain_m_ty.png]]
|
||||
|
||||
|
||||
#+begin_src matlab :results none
|
||||
figure;
|
||||
hold on;
|
||||
plot(m_ry(:, 3), m_ry(:, 1), 'DisplayName', 'Marble');
|
||||
plot(m_ry(:, 3), m_ry(:, 2), 'DisplayName', 'Ty');
|
||||
hold off;
|
||||
xlabel('Time [s]'); ylabel('Voltage [V]');
|
||||
legend('Location', 'northeast');
|
||||
xlim([0, 500]);
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:time_domain_m_ry
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/time_domain_m_ry.pdf" :var figsize="wide-normal" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:time_domain_m_ry
|
||||
#+CAPTION: Time domain - Marble and tilt stage
|
||||
#+RESULTS: fig:time_domain_m_ry
|
||||
[[file:figs/time_domain_m_ry.png]]
|
||||
|
||||
#+begin_src matlab :results none
|
||||
figure;
|
||||
hold on;
|
||||
plot(ty_ry(:, 3), ty_ry(:, 1), 'DisplayName', 'Ty');
|
||||
plot(ty_ry(:, 3), ty_ry(:, 2), 'DisplayName', 'Ry');
|
||||
hold off;
|
||||
xlabel('Time [s]'); ylabel('Voltage [V]');
|
||||
legend('Location', 'northeast');
|
||||
xlim([0, 500]);
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:time_domain_ty_ry
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/time_domain_ty_ry.pdf" :var figsize="wide-normal" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:time_domain_ty_ry
|
||||
#+CAPTION: Time domain - Translation stage and tilt stage
|
||||
#+RESULTS: fig:time_domain_ty_ry
|
||||
[[file:figs/time_domain_ty_ry.png]]
|
||||
|
||||
** Analysis - Frequency Domain
|
||||
#+begin_src matlab :results none
|
||||
dt = m_ty(2, 3) - m_ty(1, 3);
|
||||
|
||||
Fs = 1/dt;
|
||||
win = hanning(ceil(1*Fs));
|
||||
#+end_src
|
||||
|
||||
First, we compute the transfer function estimate between the two geophones for the 3 experiments (figure [[fig:compare_tf_geophones]]). We also plot their coherence (figure [[fig:coherence_two_geophones]]).
|
||||
#+begin_src matlab :results none
|
||||
[T_m_ty, f] = tfestimate(m_ty(:, 1), m_ty(:, 2), win, [], [], Fs);
|
||||
[T_m_ry, ~] = tfestimate(m_ry(:, 1), m_ry(:, 2), win, [], [], Fs);
|
||||
[T_ty_ry, ~] = tfestimate(ty_ry(:, 1), ty_ry(:, 2), win, [], [], Fs);
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :results none
|
||||
figure;
|
||||
ax1 = subplot(2, 1, 1);
|
||||
hold on;
|
||||
plot(f, abs(T_m_ty), 'DisplayName', 'Marble - Ty');
|
||||
plot(f, abs(T_m_ry), 'DisplayName', 'Marble - Ry');
|
||||
plot(f, abs(T_ty_ry), 'DisplayName', 'Ty - Ry');
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log'); set(gca, 'yscale', 'log');
|
||||
set(gca, 'XTickLabel',[]);
|
||||
ylabel('Magnitude');
|
||||
legend('Location', 'northwest');
|
||||
|
||||
ax2 = subplot(2, 1, 2);
|
||||
hold on;
|
||||
plot(f, mod(180+180/pi*phase(T_m_ty), 360)-180);
|
||||
plot(f, mod(180+180/pi*phase(T_m_ry), 360)-180);
|
||||
plot(f, mod(180+180/pi*phase(T_ty_ry), 360)-180);
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log');
|
||||
ylim([-180, 180]);
|
||||
yticks([-180, -90, 0, 90, 180]);
|
||||
xlabel('Frequency [Hz]'); ylabel('Phase');
|
||||
|
||||
linkaxes([ax1,ax2],'x');
|
||||
xlim([10, 500]);
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:compare_tf_geophones
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/compare_tf_geophones.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:compare_tf_geophones
|
||||
#+CAPTION: Transfer function from the first geophone to the second geophone for the three experiments
|
||||
#+RESULTS: fig:compare_tf_geophones
|
||||
[[file:figs/compare_tf_geophones.png]]
|
||||
|
||||
|
||||
#+begin_src matlab :results none
|
||||
[coh_m_ty, f] = mscohere(m_ty(:, 1), m_ty(:, 2), win, [], [], Fs);
|
||||
[coh_m_ry, ~] = mscohere(m_ry(:, 1), m_ry(:, 2), win, [], [], Fs);
|
||||
[coh_ty_ry, ~] = mscohere(ty_ry(:, 1), ty_ry(:, 2), win, [], [], Fs);
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :results none :exports none
|
||||
figure;
|
||||
hold on;
|
||||
plot(f, coh_m_ty, 'DisplayName', 'Marble - Ty');
|
||||
plot(f, coh_m_ry, 'DisplayName', 'Marble - Ry');
|
||||
plot(f, coh_ty_ry, 'DisplayName', 'Ty - Ry');
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log');
|
||||
xlabel('Frequency [Hz]'); ylabel('Coherence');
|
||||
ylim([0, 1]); xlim([1, 500]);
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:coherence_two_geophones
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/coherence_two_geophones.pdf" :var figsize="wide-normal" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:coherence_two_geophones
|
||||
#+CAPTION: Coherence between the two geophones for the three experiments
|
||||
#+RESULTS: fig:coherence_two_geophones
|
||||
[[file:figs/coherence_two_geophones.png]]
|
||||
|
||||
** Conclusion
|
||||
#+begin_important
|
||||
These measurements are not relevant.
|
||||
#+end_important
|
||||
|
||||
* Effect of the Ty Control System on the vibration of the Sample :noexport:ignore:
|
||||
** Experimental Setup
|
||||
One geophone is on the marble, the other at the sample location (see figures [[fig:setup_ty]]).
|
||||
|
||||
The signal from the top geophone goes through the slip-ring.
|
||||
|
||||
#+name: fig:setup_ty
|
||||
#+caption: Experimental Setup
|
||||
#+attr_html: :width 500px
|
||||
[[file:./img/IMG_20190430_112615.jpg]]
|
||||
|
||||
Two measurements are done:
|
||||
| Setup | Data File |
|
||||
|----------------------+--------------------|
|
||||
| Control of Ty is on | =mat/data_001.mat= |
|
||||
| Control of Ty is off | =mat/data_002.mat= |
|
||||
|
||||
For each of the measurements, the data are:
|
||||
| Variable | Description |
|
||||
|----------+--------------------------------------------------------------------|
|
||||
| =t= | Time Vector |
|
||||
| =x1= | Voltage measured across the geophone placed on the marble |
|
||||
| =x2= | Voltage measured across the geophone placed at the sample location |
|
||||
|
||||
Measurements are 50s long.
|
||||
|
||||
** 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
|
||||
We load the data of the z axis of two geophones.
|
||||
#+begin_src matlab :results none
|
||||
tyOn = load('mat/data_001.mat', 't', 'x1', 'x2');
|
||||
tyOff = load('mat/data_002.mat', 't', 'x1', 'x2');
|
||||
#+end_src
|
||||
|
||||
** Analysis - Time Domain
|
||||
#+begin_src matlab :results none
|
||||
dt = tyOn.t(2)-tyOn.t(1);
|
||||
Fs = 1/dt;
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :results none
|
||||
figure;
|
||||
subplot(1, 2, 1);
|
||||
hold on;
|
||||
plot(tyOn.t, tyOn.x1, 'DisplayName', 'Ty ON - Marble');
|
||||
plot(tyOff.t, tyOff.x1, 'DisplayName', 'Ty OFF - Marble');
|
||||
hold off;
|
||||
legend();
|
||||
xlabel('Time [s]'); ylabel('Voltage [V]');
|
||||
xlim([0, 50]);
|
||||
|
||||
subplot(1, 2, 2);
|
||||
hold on;
|
||||
plot(tyOn.t, tyOn.x2, 'DisplayName', 'Ty ON - Sample');
|
||||
plot(tyOff.t, tyOff.x2, 'DisplayName', 'Ty OFF - Sample');
|
||||
hold off;
|
||||
legend();
|
||||
xlabel('Time [s]'); ylabel('Voltage [V]');
|
||||
xlim([0, 50]);
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:time_domain_effect_ty
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/time_domain_effect_ty.pdf" :var figsize="full-normal" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:time_domain_effect_ty
|
||||
#+CAPTION: Effect of the Ty control system on the vibrations of the marble and sample
|
||||
#+RESULTS: fig:time_domain_effect_ty
|
||||
[[file:figs/time_domain_effect_ty.png]]
|
||||
|
||||
** Analysis - Frequency Domain
|
||||
#+begin_src matlab :results none
|
||||
Fs = 1/dt;
|
||||
win = hanning(ceil(10*Fs));
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :results none
|
||||
[pxOn1, f] = pwelch(tyOn.x1, win, [], [], Fs);
|
||||
[pxOn2, ~] = pwelch(tyOn.x2, win, [], [], Fs);
|
||||
|
||||
[pxOff1, ~] = pwelch(tyOff.x1, win, [], [], Fs);
|
||||
[pxOff2, ~] = pwelch(tyOff.x2, win, [], [], Fs);
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :results none
|
||||
figure;
|
||||
subplot(1, 2, 1);
|
||||
hold on;
|
||||
plot(f, sqrt(pxOn1), 'DisplayName', 'Ty ON - Marble');
|
||||
plot(f, sqrt(pxOff1), 'DisplayName', 'Ty OFF - Marble');
|
||||
hold off;
|
||||
legend();
|
||||
set(gca, 'xscale', 'log'); set(gca, 'yscale', 'log');
|
||||
xlim([0.1, 500]); ylim([1e-4, 1]);
|
||||
xlabel('Frequency [Hz]'); ylabel('Amplitude Spectral Density $\left[\frac{V}{\sqrt{Hz}}\right]$')
|
||||
|
||||
subplot(1, 2, 2);
|
||||
hold on;
|
||||
plot(f, sqrt(pxOn2), 'DisplayName', 'Ty ON - Sample');
|
||||
plot(f, sqrt(pxOff2), 'DisplayName', 'Ty OFF - Sample');
|
||||
hold off;
|
||||
legend();
|
||||
set(gca, 'xscale', 'log'); set(gca, 'yscale', 'log');
|
||||
xlabel('Frequency [Hz]'); ylabel('Amplitude Spectral Density $\left[\frac{V}{\sqrt{Hz}}\right]$')
|
||||
xlim([0.1, 500]); ylim([1e-4, 1]);
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:psd_effect_ty
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/psd_effect_ty.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:psd_effect_ty
|
||||
#+CAPTION: Amplitude Spectral Density - Effect of the Ty control system
|
||||
#+RESULTS: fig:psd_effect_ty
|
||||
[[file:figs/psd_effect_ty.png]]
|
||||
|
||||
** Conclusion
|
||||
|
||||
|
Before Width: | Height: | Size: 80 KiB After Width: | Height: | Size: 80 KiB |
|
Before Width: | Height: | Size: 159 KiB After Width: | Height: | Size: 159 KiB |
|
Before Width: | Height: | Size: 37 KiB After Width: | Height: | Size: 37 KiB |
|
Before Width: | Height: | Size: 34 KiB After Width: | Height: | Size: 34 KiB |
|
Before Width: | Height: | Size: 41 KiB After Width: | Height: | Size: 41 KiB |
|
Before Width: | Height: | Size: 4.2 MiB After Width: | Height: | Size: 4.2 MiB |
|
Before Width: | Height: | Size: 3.8 MiB After Width: | Height: | Size: 3.8 MiB |
|
Before Width: | Height: | Size: 3.3 MiB After Width: | Height: | Size: 3.3 MiB |
|
Before Width: | Height: | Size: 4.2 MiB After Width: | Height: | Size: 4.2 MiB |
|
Before Width: | Height: | Size: 3.9 MiB After Width: | Height: | Size: 3.9 MiB |
|
Before Width: | Height: | Size: 3.0 MiB After Width: | Height: | Size: 3.0 MiB |
|
Before Width: | Height: | Size: 3.4 MiB After Width: | Height: | Size: 3.4 MiB |
|
Before Width: | Height: | Size: 3.3 MiB After Width: | Height: | Size: 3.3 MiB |
124
other-measurements/matlab/tf_stages_geophone.m
Normal file
124
other-measurements/matlab/tf_stages_geophone.m
Normal file
@@ -0,0 +1,124 @@
|
||||
%% Clear Workspace and Close figures
|
||||
clear; close all; clc;
|
||||
|
||||
%% Intialize Laplace variable
|
||||
s = zpk('s');
|
||||
|
||||
% Load data
|
||||
% We load the data of the z axis of two geophones.
|
||||
|
||||
m_ty = load('mat/data_010.mat', 'data'); m_ty = m_ty.data;
|
||||
m_ry = load('mat/data_011.mat', 'data'); m_ry = m_ry.data;
|
||||
ty_ry = load('mat/data_012.mat', 'data'); ty_ry = ty_ry.data;
|
||||
|
||||
% Analysis - Time Domain
|
||||
% First, we can look at the time domain data.
|
||||
|
||||
|
||||
figure;
|
||||
hold on;
|
||||
plot(m_ty(:, 3), m_ty(:, 1), 'DisplayName', 'Marble');
|
||||
plot(m_ty(:, 3), m_ty(:, 2), 'DisplayName', 'Ty');
|
||||
hold off;
|
||||
xlabel('Time [s]'); ylabel('Voltage [V]');
|
||||
legend('Location', 'northeast');
|
||||
xlim([0, 500]);
|
||||
|
||||
|
||||
|
||||
% #+NAME: fig:time_domain_m_ty
|
||||
% #+CAPTION: Time domain - Marble and translation stage
|
||||
% #+RESULTS: fig:time_domain_m_ty
|
||||
% [[file:figs/time_domain_m_ty.png]]
|
||||
|
||||
|
||||
|
||||
figure;
|
||||
hold on;
|
||||
plot(m_ry(:, 3), m_ry(:, 1), 'DisplayName', 'Marble');
|
||||
plot(m_ry(:, 3), m_ry(:, 2), 'DisplayName', 'Ty');
|
||||
hold off;
|
||||
xlabel('Time [s]'); ylabel('Voltage [V]');
|
||||
legend('Location', 'northeast');
|
||||
xlim([0, 500]);
|
||||
|
||||
|
||||
|
||||
% #+NAME: fig:time_domain_m_ry
|
||||
% #+CAPTION: Time domain - Marble and tilt stage
|
||||
% #+RESULTS: fig:time_domain_m_ry
|
||||
% [[file:figs/time_domain_m_ry.png]]
|
||||
|
||||
|
||||
figure;
|
||||
hold on;
|
||||
plot(ty_ry(:, 3), ty_ry(:, 1), 'DisplayName', 'Ty');
|
||||
plot(ty_ry(:, 3), ty_ry(:, 2), 'DisplayName', 'Ry');
|
||||
hold off;
|
||||
xlabel('Time [s]'); ylabel('Voltage [V]');
|
||||
legend('Location', 'northeast');
|
||||
xlim([0, 500]);
|
||||
|
||||
% Analysis - Frequency Domain
|
||||
|
||||
dt = m_ty(2, 3) - m_ty(1, 3);
|
||||
|
||||
Fs = 1/dt;
|
||||
win = hanning(ceil(1*Fs));
|
||||
|
||||
|
||||
|
||||
% First, we compute the transfer function estimate between the two geophones for the 3 experiments (figure [[fig:compare_tf_geophones]]). We also plot their coherence (figure [[fig:coherence_two_geophones]]).
|
||||
|
||||
[T_m_ty, f] = tfestimate(m_ty(:, 1), m_ty(:, 2), win, [], [], Fs);
|
||||
[T_m_ry, ~] = tfestimate(m_ry(:, 1), m_ry(:, 2), win, [], [], Fs);
|
||||
[T_ty_ry, ~] = tfestimate(ty_ry(:, 1), ty_ry(:, 2), win, [], [], Fs);
|
||||
|
||||
figure;
|
||||
ax1 = subplot(2, 1, 1);
|
||||
hold on;
|
||||
plot(f, abs(T_m_ty), 'DisplayName', 'Marble - Ty');
|
||||
plot(f, abs(T_m_ry), 'DisplayName', 'Marble - Ry');
|
||||
plot(f, abs(T_ty_ry), 'DisplayName', 'Ty - Ry');
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log'); set(gca, 'yscale', 'log');
|
||||
set(gca, 'XTickLabel',[]);
|
||||
ylabel('Magnitude');
|
||||
legend('Location', 'northwest');
|
||||
|
||||
ax2 = subplot(2, 1, 2);
|
||||
hold on;
|
||||
plot(f, mod(180+180/pi*phase(T_m_ty), 360)-180);
|
||||
plot(f, mod(180+180/pi*phase(T_m_ry), 360)-180);
|
||||
plot(f, mod(180+180/pi*phase(T_ty_ry), 360)-180);
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log');
|
||||
ylim([-180, 180]);
|
||||
yticks([-180, -90, 0, 90, 180]);
|
||||
xlabel('Frequency [Hz]'); ylabel('Phase');
|
||||
|
||||
linkaxes([ax1,ax2],'x');
|
||||
xlim([10, 500]);
|
||||
|
||||
|
||||
|
||||
% #+NAME: fig:compare_tf_geophones
|
||||
% #+CAPTION: Transfer function from the first geophone to the second geophone for the three experiments
|
||||
% #+RESULTS: fig:compare_tf_geophones
|
||||
% [[file:figs/compare_tf_geophones.png]]
|
||||
|
||||
|
||||
|
||||
[coh_m_ty, f] = mscohere(m_ty(:, 1), m_ty(:, 2), win, [], [], Fs);
|
||||
[coh_m_ry, ~] = mscohere(m_ry(:, 1), m_ry(:, 2), win, [], [], Fs);
|
||||
[coh_ty_ry, ~] = mscohere(ty_ry(:, 1), ty_ry(:, 2), win, [], [], Fs);
|
||||
|
||||
figure;
|
||||
hold on;
|
||||
plot(f, coh_m_ty, 'DisplayName', 'Marble - Ty');
|
||||
plot(f, coh_m_ry, 'DisplayName', 'Marble - Ry');
|
||||
plot(f, coh_ty_ry, 'DisplayName', 'Ty - Ry');
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log');
|
||||
xlabel('Frequency [Hz]'); ylabel('Coherence');
|
||||
ylim([0, 1]); xlim([1, 500]);
|
||||
686
other-measurements/tf_geophone_stages.html
Normal file
686
other-measurements/tf_geophone_stages.html
Normal file
@@ -0,0 +1,686 @@
|
||||
<?xml version="1.0" encoding="utf-8"?>
|
||||
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN"
|
||||
"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
|
||||
<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
|
||||
<head>
|
||||
<!-- 2019-05-15 mer. 17:22 -->
|
||||
<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
|
||||
<meta name="viewport" content="width=device-width, initial-scale=1" />
|
||||
<title>Transfer function from velocity of one stage to the velocity of another stage using geophones</title>
|
||||
<meta name="generator" content="Org mode" />
|
||||
<meta name="author" content="Dehaeze Thomas" />
|
||||
<style type="text/css">
|
||||
<!--/*--><![CDATA[/*><!--*/
|
||||
.title { text-align: center;
|
||||
margin-bottom: .2em; }
|
||||
.subtitle { text-align: center;
|
||||
font-size: medium;
|
||||
font-weight: bold;
|
||||
margin-top:0; }
|
||||
.todo { font-family: monospace; color: red; }
|
||||
.done { font-family: monospace; color: green; }
|
||||
.priority { font-family: monospace; color: orange; }
|
||||
.tag { background-color: #eee; font-family: monospace;
|
||||
padding: 2px; font-size: 80%; font-weight: normal; }
|
||||
.timestamp { color: #bebebe; }
|
||||
.timestamp-kwd { color: #5f9ea0; }
|
||||
.org-right { margin-left: auto; margin-right: 0px; text-align: right; }
|
||||
.org-left { margin-left: 0px; margin-right: auto; text-align: left; }
|
||||
.org-center { margin-left: auto; margin-right: auto; text-align: center; }
|
||||
.underline { text-decoration: underline; }
|
||||
#postamble p, #preamble p { font-size: 90%; margin: .2em; }
|
||||
p.verse { margin-left: 3%; }
|
||||
pre {
|
||||
border: 1px solid #ccc;
|
||||
box-shadow: 3px 3px 3px #eee;
|
||||
padding: 8pt;
|
||||
font-family: monospace;
|
||||
overflow: auto;
|
||||
margin: 1.2em;
|
||||
}
|
||||
pre.src {
|
||||
position: relative;
|
||||
overflow: visible;
|
||||
padding-top: 1.2em;
|
||||
}
|
||||
pre.src:before {
|
||||
display: none;
|
||||
position: absolute;
|
||||
background-color: white;
|
||||
top: -10px;
|
||||
right: 10px;
|
||||
padding: 3px;
|
||||
border: 1px solid black;
|
||||
}
|
||||
pre.src:hover:before { display: inline;}
|
||||
/* Languages per Org manual */
|
||||
pre.src-asymptote:before { content: 'Asymptote'; }
|
||||
pre.src-awk:before { content: 'Awk'; }
|
||||
pre.src-C:before { content: 'C'; }
|
||||
/* pre.src-C++ doesn't work in CSS */
|
||||
pre.src-clojure:before { content: 'Clojure'; }
|
||||
pre.src-css:before { content: 'CSS'; }
|
||||
pre.src-D:before { content: 'D'; }
|
||||
pre.src-ditaa:before { content: 'ditaa'; }
|
||||
pre.src-dot:before { content: 'Graphviz'; }
|
||||
pre.src-calc:before { content: 'Emacs Calc'; }
|
||||
pre.src-emacs-lisp:before { content: 'Emacs Lisp'; }
|
||||
pre.src-fortran:before { content: 'Fortran'; }
|
||||
pre.src-gnuplot:before { content: 'gnuplot'; }
|
||||
pre.src-haskell:before { content: 'Haskell'; }
|
||||
pre.src-hledger:before { content: 'hledger'; }
|
||||
pre.src-java:before { content: 'Java'; }
|
||||
pre.src-js:before { content: 'Javascript'; }
|
||||
pre.src-latex:before { content: 'LaTeX'; }
|
||||
pre.src-ledger:before { content: 'Ledger'; }
|
||||
pre.src-lisp:before { content: 'Lisp'; }
|
||||
pre.src-lilypond:before { content: 'Lilypond'; }
|
||||
pre.src-lua:before { content: 'Lua'; }
|
||||
pre.src-matlab:before { content: 'MATLAB'; }
|
||||
pre.src-mscgen:before { content: 'Mscgen'; }
|
||||
pre.src-ocaml:before { content: 'Objective Caml'; }
|
||||
pre.src-octave:before { content: 'Octave'; }
|
||||
pre.src-org:before { content: 'Org mode'; }
|
||||
pre.src-oz:before { content: 'OZ'; }
|
||||
pre.src-plantuml:before { content: 'Plantuml'; }
|
||||
pre.src-processing:before { content: 'Processing.js'; }
|
||||
pre.src-python:before { content: 'Python'; }
|
||||
pre.src-R:before { content: 'R'; }
|
||||
pre.src-ruby:before { content: 'Ruby'; }
|
||||
pre.src-sass:before { content: 'Sass'; }
|
||||
pre.src-scheme:before { content: 'Scheme'; }
|
||||
pre.src-screen:before { content: 'Gnu Screen'; }
|
||||
pre.src-sed:before { content: 'Sed'; }
|
||||
pre.src-sh:before { content: 'shell'; }
|
||||
pre.src-sql:before { content: 'SQL'; }
|
||||
pre.src-sqlite:before { content: 'SQLite'; }
|
||||
/* additional languages in org.el's org-babel-load-languages alist */
|
||||
pre.src-forth:before { content: 'Forth'; }
|
||||
pre.src-io:before { content: 'IO'; }
|
||||
pre.src-J:before { content: 'J'; }
|
||||
pre.src-makefile:before { content: 'Makefile'; }
|
||||
pre.src-maxima:before { content: 'Maxima'; }
|
||||
pre.src-perl:before { content: 'Perl'; }
|
||||
pre.src-picolisp:before { content: 'Pico Lisp'; }
|
||||
pre.src-scala:before { content: 'Scala'; }
|
||||
pre.src-shell:before { content: 'Shell Script'; }
|
||||
pre.src-ebnf2ps:before { content: 'ebfn2ps'; }
|
||||
/* additional language identifiers per "defun org-babel-execute"
|
||||
in ob-*.el */
|
||||
pre.src-cpp:before { content: 'C++'; }
|
||||
pre.src-abc:before { content: 'ABC'; }
|
||||
pre.src-coq:before { content: 'Coq'; }
|
||||
pre.src-groovy:before { content: 'Groovy'; }
|
||||
/* additional language identifiers from org-babel-shell-names in
|
||||
ob-shell.el: ob-shell is the only babel language using a lambda to put
|
||||
the execution function name together. */
|
||||
pre.src-bash:before { content: 'bash'; }
|
||||
pre.src-csh:before { content: 'csh'; }
|
||||
pre.src-ash:before { content: 'ash'; }
|
||||
pre.src-dash:before { content: 'dash'; }
|
||||
pre.src-ksh:before { content: 'ksh'; }
|
||||
pre.src-mksh:before { content: 'mksh'; }
|
||||
pre.src-posh:before { content: 'posh'; }
|
||||
/* Additional Emacs modes also supported by the LaTeX listings package */
|
||||
pre.src-ada:before { content: 'Ada'; }
|
||||
pre.src-asm:before { content: 'Assembler'; }
|
||||
pre.src-caml:before { content: 'Caml'; }
|
||||
pre.src-delphi:before { content: 'Delphi'; }
|
||||
pre.src-html:before { content: 'HTML'; }
|
||||
pre.src-idl:before { content: 'IDL'; }
|
||||
pre.src-mercury:before { content: 'Mercury'; }
|
||||
pre.src-metapost:before { content: 'MetaPost'; }
|
||||
pre.src-modula-2:before { content: 'Modula-2'; }
|
||||
pre.src-pascal:before { content: 'Pascal'; }
|
||||
pre.src-ps:before { content: 'PostScript'; }
|
||||
pre.src-prolog:before { content: 'Prolog'; }
|
||||
pre.src-simula:before { content: 'Simula'; }
|
||||
pre.src-tcl:before { content: 'tcl'; }
|
||||
pre.src-tex:before { content: 'TeX'; }
|
||||
pre.src-plain-tex:before { content: 'Plain TeX'; }
|
||||
pre.src-verilog:before { content: 'Verilog'; }
|
||||
pre.src-vhdl:before { content: 'VHDL'; }
|
||||
pre.src-xml:before { content: 'XML'; }
|
||||
pre.src-nxml:before { content: 'XML'; }
|
||||
/* add a generic configuration mode; LaTeX export needs an additional
|
||||
(add-to-list 'org-latex-listings-langs '(conf " ")) in .emacs */
|
||||
pre.src-conf:before { content: 'Configuration File'; }
|
||||
|
||||
table { border-collapse:collapse; }
|
||||
caption.t-above { caption-side: top; }
|
||||
caption.t-bottom { caption-side: bottom; }
|
||||
td, th { vertical-align:top; }
|
||||
th.org-right { text-align: center; }
|
||||
th.org-left { text-align: center; }
|
||||
th.org-center { text-align: center; }
|
||||
td.org-right { text-align: right; }
|
||||
td.org-left { text-align: left; }
|
||||
td.org-center { text-align: center; }
|
||||
dt { font-weight: bold; }
|
||||
.footpara { display: inline; }
|
||||
.footdef { margin-bottom: 1em; }
|
||||
.figure { padding: 1em; }
|
||||
.figure p { text-align: center; }
|
||||
.equation-container {
|
||||
display: table;
|
||||
text-align: center;
|
||||
width: 100%;
|
||||
}
|
||||
.equation {
|
||||
vertical-align: middle;
|
||||
}
|
||||
.equation-label {
|
||||
display: table-cell;
|
||||
text-align: right;
|
||||
vertical-align: middle;
|
||||
}
|
||||
.inlinetask {
|
||||
padding: 10px;
|
||||
border: 2px solid gray;
|
||||
margin: 10px;
|
||||
background: #ffffcc;
|
||||
}
|
||||
#org-div-home-and-up
|
||||
{ text-align: right; font-size: 70%; white-space: nowrap; }
|
||||
textarea { overflow-x: auto; }
|
||||
.linenr { font-size: smaller }
|
||||
.code-highlighted { background-color: #ffff00; }
|
||||
.org-info-js_info-navigation { border-style: none; }
|
||||
#org-info-js_console-label
|
||||
{ font-size: 10px; font-weight: bold; white-space: nowrap; }
|
||||
.org-info-js_search-highlight
|
||||
{ background-color: #ffff00; color: #000000; font-weight: bold; }
|
||||
.org-svg { width: 90%; }
|
||||
/*]]>*/-->
|
||||
</style>
|
||||
<link rel="stylesheet" type="text/css" href="../css/htmlize.css"/>
|
||||
<link rel="stylesheet" type="text/css" href="../css/readtheorg.css"/>
|
||||
<link rel="stylesheet" type="text/css" href="../css/zenburn.css"/>
|
||||
<script type="text/javascript" src="../js/jquery.min.js"></script>
|
||||
<script type="text/javascript" src="../js/bootstrap.min.js"></script>
|
||||
<script type="text/javascript" src="../js/jquery.stickytableheaders.min.js"></script>
|
||||
<script type="text/javascript" src="../js/readtheorg.js"></script>
|
||||
<script type="text/javascript">
|
||||
/*
|
||||
@licstart The following is the entire license notice for the
|
||||
JavaScript code in this tag.
|
||||
|
||||
Copyright (C) 2012-2019 Free Software Foundation, Inc.
|
||||
|
||||
The JavaScript code in this tag is free software: you can
|
||||
redistribute it and/or modify it under the terms of the GNU
|
||||
General Public License (GNU GPL) as published by the Free Software
|
||||
Foundation, either version 3 of the License, or (at your option)
|
||||
any later version. The code is distributed WITHOUT ANY WARRANTY;
|
||||
without even the implied warranty of MERCHANTABILITY or FITNESS
|
||||
FOR A PARTICULAR PURPOSE. See the GNU GPL for more details.
|
||||
|
||||
As additional permission under GNU GPL version 3 section 7, you
|
||||
may distribute non-source (e.g., minimized or compacted) forms of
|
||||
that code without the copy of the GNU GPL normally required by
|
||||
section 4, provided you include this license notice and a URL
|
||||
through which recipients can access the Corresponding Source.
|
||||
|
||||
|
||||
@licend The above is the entire license notice
|
||||
for the JavaScript code in this tag.
|
||||
*/
|
||||
<!--/*--><![CDATA[/*><!--*/
|
||||
function CodeHighlightOn(elem, id)
|
||||
{
|
||||
var target = document.getElementById(id);
|
||||
if(null != target) {
|
||||
elem.cacheClassElem = elem.className;
|
||||
elem.cacheClassTarget = target.className;
|
||||
target.className = "code-highlighted";
|
||||
elem.className = "code-highlighted";
|
||||
}
|
||||
}
|
||||
function CodeHighlightOff(elem, id)
|
||||
{
|
||||
var target = document.getElementById(id);
|
||||
if(elem.cacheClassElem)
|
||||
elem.className = elem.cacheClassElem;
|
||||
if(elem.cacheClassTarget)
|
||||
target.className = elem.cacheClassTarget;
|
||||
}
|
||||
/*]]>*///-->
|
||||
</script>
|
||||
<script type="text/x-mathjax-config">
|
||||
MathJax.Hub.Config({
|
||||
displayAlign: "center",
|
||||
displayIndent: "0em",
|
||||
|
||||
"HTML-CSS": { scale: 100,
|
||||
linebreaks: { automatic: "false" },
|
||||
webFont: "TeX"
|
||||
},
|
||||
SVG: {scale: 100,
|
||||
linebreaks: { automatic: "false" },
|
||||
font: "TeX"},
|
||||
NativeMML: {scale: 100},
|
||||
TeX: { equationNumbers: {autoNumber: "AMS"},
|
||||
MultLineWidth: "85%",
|
||||
TagSide: "right",
|
||||
TagIndent: ".8em"
|
||||
}
|
||||
});
|
||||
</script>
|
||||
<script type="text/javascript"
|
||||
src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.0/MathJax.js?config=TeX-AMS_HTML"></script>
|
||||
</head>
|
||||
<body>
|
||||
<div id="org-div-home-and-up">
|
||||
<a accesskey="h" href="../index.html"> UP </a>
|
||||
|
|
||||
<a accesskey="H" href="../index.html"> HOME </a>
|
||||
</div><div id="content">
|
||||
<h1 class="title">Transfer function from velocity of one stage to the velocity of another stage using geophones</h1>
|
||||
<div id="table-of-contents">
|
||||
<h2>Table of Contents</h2>
|
||||
<div id="text-table-of-contents">
|
||||
<ul>
|
||||
<li><a href="#orgbdb27eb">1. Experimental Setup</a>
|
||||
<ul>
|
||||
<li><a href="#org8dbd49b">1.1. From Marble to Ty - <code>mat/meas_010.mat</code></a></li>
|
||||
<li><a href="#orgf538b5e">1.2. From Marble to Ry - <code>mat/meas_011.mat</code></a></li>
|
||||
<li><a href="#orga48e2bc">1.3. From Ty to Ry - <code>mat/meas_012.mat</code></a></li>
|
||||
</ul>
|
||||
</li>
|
||||
<li><a href="#org3ea309e">2. Measurement Analysis</a>
|
||||
<ul>
|
||||
<li><a href="#org1638277">2.1. Load data</a></li>
|
||||
<li><a href="#org0d3cc48">2.2. Analysis - Time Domain</a></li>
|
||||
<li><a href="#org65a5a79">2.3. Analysis - Frequency Domain</a></li>
|
||||
<li><a href="#orgbbc525b">2.4. Conclusion</a></li>
|
||||
</ul>
|
||||
</li>
|
||||
</ul>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgbdb27eb" class="outline-2">
|
||||
<h2 id="orgbdb27eb"><span class="section-number-2">1</span> Experimental Setup</h2>
|
||||
<div class="outline-text-2" id="text-1">
|
||||
<p>
|
||||
For all the measurements in this section:
|
||||
</p>
|
||||
<ul class="org-ul">
|
||||
<li>all the control stages are OFF.</li>
|
||||
<li>the measurements are on the \(z\) direction</li>
|
||||
</ul>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org8dbd49b" class="outline-3">
|
||||
<h3 id="org8dbd49b"><span class="section-number-3">1.1</span> From Marble to Ty - <code>mat/meas_010.mat</code></h3>
|
||||
<div class="outline-text-3" id="text-1-1">
|
||||
<p>
|
||||
One geophone is on the marble, one is on the Ty stage (see figures <a href="#orgee9d1f3">1</a>, <a href="#org0acaa0d">2</a> and <a href="#orgec4ad6b">3</a>).
|
||||
</p>
|
||||
|
||||
<p>
|
||||
The <code>data</code> array contains the following columns:
|
||||
</p>
|
||||
<table border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
|
||||
|
||||
|
||||
<colgroup>
|
||||
<col class="org-right" />
|
||||
|
||||
<col class="org-left" />
|
||||
</colgroup>
|
||||
<thead>
|
||||
<tr>
|
||||
<th scope="col" class="org-right">Column</th>
|
||||
<th scope="col" class="org-left">Description</th>
|
||||
</tr>
|
||||
</thead>
|
||||
<tbody>
|
||||
<tr>
|
||||
<td class="org-right">1</td>
|
||||
<td class="org-left">Ground</td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-right">2</td>
|
||||
<td class="org-left">Ty</td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-right">3</td>
|
||||
<td class="org-left">Time</td>
|
||||
</tr>
|
||||
</tbody>
|
||||
</table>
|
||||
|
||||
|
||||
<div id="orgee9d1f3" class="figure">
|
||||
<p><img src="./img/IMG_20190430_155330.jpg" alt="IMG_20190430_155330.jpg" width="500px" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 1: </span>Setup with one geophone on the marble and one on top of the translation stage</p>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org0acaa0d" class="figure">
|
||||
<p><img src="./img/IMG_20190430_155335.jpg" alt="IMG_20190430_155335.jpg" width="500px" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 2: </span>Setup with one geophone on the marble and one on top of the translation stage - Close up view</p>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orgec4ad6b" class="figure">
|
||||
<p><img src="./img/IMG_20190430_155342.jpg" alt="IMG_20190430_155342.jpg" width="500px" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 3: </span>Setup with one geophone on the marble and one on top of the translation stage - Top view</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgf538b5e" class="outline-3">
|
||||
<h3 id="orgf538b5e"><span class="section-number-3">1.2</span> From Marble to Ry - <code>mat/meas_011.mat</code></h3>
|
||||
<div class="outline-text-3" id="text-1-2">
|
||||
<p>
|
||||
One geophone is on the marble, one is on the Ry stage (see figure <a href="#orgd643390">4</a>)
|
||||
</p>
|
||||
|
||||
<p>
|
||||
The <code>data</code> array contains the following columns:
|
||||
</p>
|
||||
<table border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
|
||||
|
||||
|
||||
<colgroup>
|
||||
<col class="org-right" />
|
||||
|
||||
<col class="org-left" />
|
||||
</colgroup>
|
||||
<thead>
|
||||
<tr>
|
||||
<th scope="col" class="org-right">Column</th>
|
||||
<th scope="col" class="org-left">Description</th>
|
||||
</tr>
|
||||
</thead>
|
||||
<tbody>
|
||||
<tr>
|
||||
<td class="org-right">1</td>
|
||||
<td class="org-left">Ground</td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-right">2</td>
|
||||
<td class="org-left">Ry</td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-right">3</td>
|
||||
<td class="org-left">Time</td>
|
||||
</tr>
|
||||
</tbody>
|
||||
</table>
|
||||
|
||||
|
||||
<div id="orgd643390" class="figure">
|
||||
<p><img src="./img/IMG_20190430_163919.jpg" alt="IMG_20190430_163919.jpg" width="500px" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 4: </span>Setup with one geophone on the marble and one on top of the Tilt Stage</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orga48e2bc" class="outline-3">
|
||||
<h3 id="orga48e2bc"><span class="section-number-3">1.3</span> From Ty to Ry - <code>mat/meas_012.mat</code></h3>
|
||||
<div class="outline-text-3" id="text-1-3">
|
||||
<p>
|
||||
One geophone is on the Ty stage, one is on the Ry stage (see figures <a href="#org4038125">5</a>, <a href="#orge841934">6</a> and <a href="#org7715257">7</a>)
|
||||
One geophone on the Ty stage, one geophone on the Ry stage.
|
||||
</p>
|
||||
|
||||
<p>
|
||||
The <code>data</code> array contains the following columns:
|
||||
</p>
|
||||
<table border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
|
||||
|
||||
|
||||
<colgroup>
|
||||
<col class="org-right" />
|
||||
|
||||
<col class="org-left" />
|
||||
</colgroup>
|
||||
<thead>
|
||||
<tr>
|
||||
<th scope="col" class="org-right">Column</th>
|
||||
<th scope="col" class="org-left">Description</th>
|
||||
</tr>
|
||||
</thead>
|
||||
<tbody>
|
||||
<tr>
|
||||
<td class="org-right">1</td>
|
||||
<td class="org-left">Ty</td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-right">2</td>
|
||||
<td class="org-left">Ry</td>
|
||||
</tr>
|
||||
|
||||
<tr>
|
||||
<td class="org-right">3</td>
|
||||
<td class="org-left">Time</td>
|
||||
</tr>
|
||||
</tbody>
|
||||
</table>
|
||||
|
||||
|
||||
<div id="org4038125" class="figure">
|
||||
<p><img src="./img/IMG_20190430_170405.jpg" alt="IMG_20190430_170405.jpg" width="500px" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 5: </span>Setup with one geophone on the translation stage and one on top of the Tilt Stage</p>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orge841934" class="figure">
|
||||
<p><img src="./img/IMG_20190430_170418.jpg" alt="IMG_20190430_170418.jpg" width="500px" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 6: </span>Setup with one geophone on the translation stage and one on top of the Tilt Stage - Top view</p>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org7715257" class="figure">
|
||||
<p><img src="./img/IMG_20190430_170425.jpg" alt="IMG_20190430_170425.jpg" width="500px" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 7: </span>Setup with one geophone on the translation stage and one on top of the Tilt Stage - Close up view</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org3ea309e" class="outline-2">
|
||||
<h2 id="org3ea309e"><span class="section-number-2">2</span> Measurement Analysis</h2>
|
||||
<div class="outline-text-2" id="text-2">
|
||||
<p>
|
||||
<a id="org88007a9"></a>
|
||||
</p>
|
||||
<div class="note">
|
||||
<p>
|
||||
All the files (data and Matlab scripts) are accessible <a href="data/tf_stages_geophone.zip">here</a>.
|
||||
</p>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org1638277" class="outline-3">
|
||||
<h3 id="org1638277"><span class="section-number-3">2.1</span> Load data</h3>
|
||||
<div class="outline-text-3" id="text-2-1">
|
||||
<p>
|
||||
We load the data of the z axis of two geophones.
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">m_ty = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_010.mat', 'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; m_ty = m_ty.data;
|
||||
m_ry = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_011.mat', 'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; m_ry = m_ry.data;
|
||||
ty_ry = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_012.mat', 'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; ty_ry = ty_ry.data;
|
||||
</pre>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org0d3cc48" class="outline-3">
|
||||
<h3 id="org0d3cc48"><span class="section-number-3">2.2</span> Analysis - Time Domain</h3>
|
||||
<div class="outline-text-3" id="text-2-2">
|
||||
<p>
|
||||
First, we can look at the time domain data.
|
||||
</p>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-type">figure</span>;
|
||||
hold on;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>m_ty<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, m_ty<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Marble'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>m_ty<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, m_ty<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Ty'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
hold off;
|
||||
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Time </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">s</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">)</span></span><span class="org-string">; ylabel</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-string">'Voltage </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">V</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Location', 'northeast'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">0</span>, <span class="org-highlight-numbers-number">500</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org6d8a0eb" class="figure">
|
||||
<p><img src="figs/time_domain_m_ty.png" alt="time_domain_m_ty.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 8: </span>Time domain - Marble and translation stage</p>
|
||||
</div>
|
||||
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-type">figure</span>;
|
||||
hold on;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>m_ry<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, m_ry<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Marble'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>m_ry<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, m_ry<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Ty'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
hold off;
|
||||
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Time </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">s</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">)</span></span><span class="org-string">; ylabel</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-string">'Voltage </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">V</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Location', 'northeast'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">0</span>, <span class="org-highlight-numbers-number">500</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org8700a74" class="figure">
|
||||
<p><img src="figs/time_domain_m_ry.png" alt="time_domain_m_ry.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 9: </span>Time domain - Marble and tilt stage</p>
|
||||
</div>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-type">figure</span>;
|
||||
hold on;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>ty_ry<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, ty_ry<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Ty'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>ty_ry<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, ty_ry<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Ry'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
hold off;
|
||||
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Time </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">s</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">)</span></span><span class="org-string">; ylabel</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-string">'Voltage </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">V</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Location', 'northeast'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">0</span>, <span class="org-highlight-numbers-number">500</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orgcb2e12d" class="figure">
|
||||
<p><img src="figs/time_domain_ty_ry.png" alt="time_domain_ty_ry.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 10: </span>Time domain - Translation stage and tilt stage</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org65a5a79" class="outline-3">
|
||||
<h3 id="org65a5a79"><span class="section-number-3">2.3</span> Analysis - Frequency Domain</h3>
|
||||
<div class="outline-text-3" id="text-2-3">
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">dt = m_ty<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">2</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span> <span class="org-type">-</span> m_ty<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
|
||||
Fs = <span class="org-highlight-numbers-number">1</span><span class="org-type">/</span>dt;
|
||||
win = hanning<span class="org-rainbow-delimiters-depth-1">(</span>ceil<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-highlight-numbers-number">1</span><span class="org-type">*</span>Fs<span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
<p>
|
||||
First, we compute the transfer function estimate between the two geophones for the 3 experiments (figure <a href="#orgc25589d">11</a>). We also plot their coherence (figure <a href="#org6b84c12">12</a>).
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-rainbow-delimiters-depth-1">[</span>T_m_ty, f<span class="org-rainbow-delimiters-depth-1">]</span> = tfestimate<span class="org-rainbow-delimiters-depth-1">(</span>m_ty<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, m_ty<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-rainbow-delimiters-depth-1">[</span>T_m_ry, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = tfestimate<span class="org-rainbow-delimiters-depth-1">(</span>m_ry<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, m_ry<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-rainbow-delimiters-depth-1">[</span>T_ty_ry, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = tfestimate<span class="org-rainbow-delimiters-depth-1">(</span>ty_ry<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, ty_ry<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-type">figure</span>;
|
||||
ax1 = subplot<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">2</span>, <span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
hold on;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, abs<span class="org-rainbow-delimiters-depth-2">(</span>T_m_ty<span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Marble - Ty'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, abs<span class="org-rainbow-delimiters-depth-2">(</span>T_m_ry<span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Marble - Ry'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, abs<span class="org-rainbow-delimiters-depth-2">(</span>T_ty_ry<span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Ty - Ry'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
hold off;
|
||||
<span class="org-type">set</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-variable-name">gca</span>, <span class="org-string">'xscale', 'log'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">)</span></span><span class="org-string">; set</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-string">gca, 'yscale', 'log'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-type">set</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-variable-name">gca</span>, <span class="org-string">'XTickLabel'</span>,<span class="org-rainbow-delimiters-depth-2">[]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
ylabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Magnitude'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Location', 'northwest'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
|
||||
ax2 = subplot<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">2</span>, <span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
hold on;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, mod<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-highlight-numbers-number">180</span><span class="org-type">+</span><span class="org-highlight-numbers-number">180</span><span class="org-type">/</span><span class="org-constant">pi</span><span class="org-type">*</span>phase<span class="org-rainbow-delimiters-depth-3">(</span>T_m_ty<span class="org-rainbow-delimiters-depth-3">)</span>, <span class="org-highlight-numbers-number">360</span><span class="org-rainbow-delimiters-depth-2">)</span><span class="org-type">-</span><span class="org-highlight-numbers-number">180</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, mod<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-highlight-numbers-number">180</span><span class="org-type">+</span><span class="org-highlight-numbers-number">180</span><span class="org-type">/</span><span class="org-constant">pi</span><span class="org-type">*</span>phase<span class="org-rainbow-delimiters-depth-3">(</span>T_m_ry<span class="org-rainbow-delimiters-depth-3">)</span>, <span class="org-highlight-numbers-number">360</span><span class="org-rainbow-delimiters-depth-2">)</span><span class="org-type">-</span><span class="org-highlight-numbers-number">180</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, mod<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-highlight-numbers-number">180</span><span class="org-type">+</span><span class="org-highlight-numbers-number">180</span><span class="org-type">/</span><span class="org-constant">pi</span><span class="org-type">*</span>phase<span class="org-rainbow-delimiters-depth-3">(</span>T_ty_ry<span class="org-rainbow-delimiters-depth-3">)</span>, <span class="org-highlight-numbers-number">360</span><span class="org-rainbow-delimiters-depth-2">)</span><span class="org-type">-</span><span class="org-highlight-numbers-number">180</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
hold off;
|
||||
<span class="org-type">set</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-variable-name">gca</span>, <span class="org-string">'xscale', 'log'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
ylim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-type">-</span><span class="org-highlight-numbers-number">180</span>, <span class="org-highlight-numbers-number">180</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
yticks<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-type">-</span><span class="org-highlight-numbers-number">180</span>, <span class="org-type">-</span><span class="org-highlight-numbers-number">90</span>, <span class="org-highlight-numbers-number">0</span>, <span class="org-highlight-numbers-number">90</span>, <span class="org-highlight-numbers-number">180</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Frequency </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">Hz</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">)</span></span><span class="org-string">; ylabel</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-string">'Phase'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
|
||||
linkaxes<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span>ax1,ax2<span class="org-rainbow-delimiters-depth-2">]</span>,<span class="org-string">'x'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">10</span>, <span class="org-highlight-numbers-number">500</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orgc25589d" class="figure">
|
||||
<p><img src="figs/compare_tf_geophones.png" alt="compare_tf_geophones.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 11: </span>Transfer function from the first geophone to the second geophone for the three experiments</p>
|
||||
</div>
|
||||
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-rainbow-delimiters-depth-1">[</span>coh_m_ty, f<span class="org-rainbow-delimiters-depth-1">]</span> = mscohere<span class="org-rainbow-delimiters-depth-1">(</span>m_ty<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, m_ty<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-rainbow-delimiters-depth-1">[</span>coh_m_ry, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = mscohere<span class="org-rainbow-delimiters-depth-1">(</span>m_ry<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, m_ry<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-rainbow-delimiters-depth-1">[</span>coh_ty_ry, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = mscohere<span class="org-rainbow-delimiters-depth-1">(</span>ty_ry<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, ty_ry<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org6b84c12" class="figure">
|
||||
<p><img src="figs/coherence_two_geophones.png" alt="coherence_two_geophones.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 12: </span>Coherence between the two geophones for the three experiments</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgbbc525b" class="outline-3">
|
||||
<h3 id="orgbbc525b"><span class="section-number-3">2.4</span> Conclusion</h3>
|
||||
<div class="outline-text-3" id="text-2-4">
|
||||
<div class="important">
|
||||
<p>
|
||||
These measurements are not relevant.
|
||||
</p>
|
||||
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
<div id="postamble" class="status">
|
||||
<p class="author">Author: Dehaeze Thomas</p>
|
||||
<p class="date">Created: 2019-05-15 mer. 17:22</p>
|
||||
<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
|
||||
</div>
|
||||
</body>
|
||||
</html>
|
||||
301
other-measurements/tf_geophone_stages.org
Normal file
301
other-measurements/tf_geophone_stages.org
Normal file
@@ -0,0 +1,301 @@
|
||||
#+TITLE: Transfer function from velocity of one stage to the velocity of another stage using geophones
|
||||
:DRAWER:
|
||||
#+STARTUP: overview
|
||||
|
||||
#+LANGUAGE: en
|
||||
#+EMAIL: dehaeze.thomas@gmail.com
|
||||
#+AUTHOR: Dehaeze Thomas
|
||||
|
||||
#+HTML_LINK_HOME: ../index.html
|
||||
#+HTML_LINK_UP: ../index.html
|
||||
|
||||
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/htmlize.css"/>
|
||||
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/readtheorg.css"/>
|
||||
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/zenburn.css"/>
|
||||
#+HTML_HEAD: <script type="text/javascript" src="../js/jquery.min.js"></script>
|
||||
#+HTML_HEAD: <script type="text/javascript" src="../js/bootstrap.min.js"></script>
|
||||
#+HTML_HEAD: <script type="text/javascript" src="../js/jquery.stickytableheaders.min.js"></script>
|
||||
#+HTML_HEAD: <script type="text/javascript" src="../js/readtheorg.js"></script>
|
||||
|
||||
#+HTML_MATHJAX: align: center tagside: right font: TeX
|
||||
|
||||
#+PROPERTY: header-args:matlab :session *MATLAB*
|
||||
#+PROPERTY: header-args:matlab+ :comments org
|
||||
#+PROPERTY: header-args:matlab+ :results none
|
||||
#+PROPERTY: header-args:matlab+ :exports both
|
||||
#+PROPERTY: header-args:matlab+ :eval no-export
|
||||
#+PROPERTY: header-args:matlab+ :output-dir figs
|
||||
|
||||
#+PROPERTY: header-args:shell :eval no-export
|
||||
:END:
|
||||
|
||||
* Experimental Setup
|
||||
For all the measurements in this section:
|
||||
- all the control stages are OFF.
|
||||
- the measurements are on the $z$ direction
|
||||
|
||||
** From Marble to Ty - =mat/meas_010.mat=
|
||||
One geophone is on the marble, one is on the Ty stage (see figures [[fig:setup_m_ty]], [[fig:setup_m_ty_zoom]] and [[fig:setup_m_ty_top]]).
|
||||
|
||||
The =data= array contains the following columns:
|
||||
| Column | Description |
|
||||
|--------+-------------|
|
||||
| 1 | Ground |
|
||||
| 2 | Ty |
|
||||
| 3 | Time |
|
||||
|
||||
#+name: fig:setup_m_ty
|
||||
#+caption: Setup with one geophone on the marble and one on top of the translation stage
|
||||
#+attr_html: :width 500px
|
||||
[[file:./img/IMG_20190430_155330.jpg]]
|
||||
|
||||
#+name: fig:setup_m_ty_zoom
|
||||
#+caption: Setup with one geophone on the marble and one on top of the translation stage - Close up view
|
||||
#+attr_html: :width 500px
|
||||
[[file:./img/IMG_20190430_155335.jpg]]
|
||||
|
||||
#+name: fig:setup_m_ty_top
|
||||
#+caption: Setup with one geophone on the marble and one on top of the translation stage - Top view
|
||||
#+attr_html: :width 500px
|
||||
[[file:./img/IMG_20190430_155342.jpg]]
|
||||
|
||||
** From Marble to Ry - =mat/meas_011.mat=
|
||||
One geophone is on the marble, one is on the Ry stage (see figure [[fig:setup_m_ry]])
|
||||
|
||||
The =data= array contains the following columns:
|
||||
| Column | Description |
|
||||
|--------+-------------|
|
||||
| 1 | Ground |
|
||||
| 2 | Ry |
|
||||
| 3 | Time |
|
||||
|
||||
#+name: fig:setup_m_ry
|
||||
#+caption: Setup with one geophone on the marble and one on top of the Tilt Stage
|
||||
#+attr_html: :width 500px
|
||||
[[file:./img/IMG_20190430_163919.jpg]]
|
||||
|
||||
** From Ty to Ry - =mat/meas_012.mat=
|
||||
One geophone is on the Ty stage, one is on the Ry stage (see figures [[fig:setup_ty_ry]], [[fig:setup_ty_ry_top]] and [[fig:setup_ty_ry_zoom]])
|
||||
One geophone on the Ty stage, one geophone on the Ry stage.
|
||||
|
||||
The =data= array contains the following columns:
|
||||
| Column | Description |
|
||||
|--------+-------------|
|
||||
| 1 | Ty |
|
||||
| 2 | Ry |
|
||||
| 3 | Time |
|
||||
|
||||
#+name: fig:setup_ty_ry
|
||||
#+caption: Setup with one geophone on the translation stage and one on top of the Tilt Stage
|
||||
#+attr_html: :width 500px
|
||||
[[file:./img/IMG_20190430_170405.jpg]]
|
||||
|
||||
#+name: fig:setup_ty_ry_top
|
||||
#+caption: Setup with one geophone on the translation stage and one on top of the Tilt Stage - Top view
|
||||
#+attr_html: :width 500px
|
||||
[[file:./img/IMG_20190430_170418.jpg]]
|
||||
|
||||
#+name: fig:setup_ty_ry_zoom
|
||||
#+caption: Setup with one geophone on the translation stage and one on top of the Tilt Stage - Close up view
|
||||
#+attr_html: :width 500px
|
||||
[[file:./img/IMG_20190430_170425.jpg]]
|
||||
|
||||
* Measurement Analysis
|
||||
:PROPERTIES:
|
||||
:header-args:matlab+: :tangle matlab/tf_stages_geophone.m
|
||||
:header-args:matlab+: :comments org :mkdirp yes
|
||||
:END:
|
||||
<<sec:tf_stages_geophone>>
|
||||
|
||||
** ZIP file containing the data and matlab files :ignore:
|
||||
#+begin_src bash :exports none :results none
|
||||
if [ matlab/tf_stages_geophone.m -nt data/tf_stages_geophone.zip ]; then
|
||||
cp matlab/tf_stages_geophone.m tf_stages_geophone.m;
|
||||
zip data/tf_stages_geophone \
|
||||
mat/data_010.mat \
|
||||
mat/data_011.mat \
|
||||
mat/data_012.mat \
|
||||
tf_stages_geophone.m
|
||||
rm tf_stages_geophone.m;
|
||||
fi
|
||||
#+end_src
|
||||
|
||||
#+begin_note
|
||||
All the files (data and Matlab scripts) are accessible [[file:data/tf_stages_geophone.zip][here]].
|
||||
#+end_note
|
||||
|
||||
** 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
|
||||
We load the data of the z axis of two geophones.
|
||||
#+begin_src matlab :results none
|
||||
m_ty = load('mat/data_010.mat', 'data'); m_ty = m_ty.data;
|
||||
m_ry = load('mat/data_011.mat', 'data'); m_ry = m_ry.data;
|
||||
ty_ry = load('mat/data_012.mat', 'data'); ty_ry = ty_ry.data;
|
||||
#+end_src
|
||||
|
||||
** Analysis - Time Domain
|
||||
First, we can look at the time domain data.
|
||||
|
||||
#+begin_src matlab :results none
|
||||
figure;
|
||||
hold on;
|
||||
plot(m_ty(:, 3), m_ty(:, 1), 'DisplayName', 'Marble');
|
||||
plot(m_ty(:, 3), m_ty(:, 2), 'DisplayName', 'Ty');
|
||||
hold off;
|
||||
xlabel('Time [s]'); ylabel('Voltage [V]');
|
||||
legend('Location', 'northeast');
|
||||
xlim([0, 500]);
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:time_domain_m_ty
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/time_domain_m_ty.pdf" :var figsize="wide-normal" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:time_domain_m_ty
|
||||
#+CAPTION: Time domain - Marble and translation stage
|
||||
#+RESULTS: fig:time_domain_m_ty
|
||||
[[file:figs/time_domain_m_ty.png]]
|
||||
|
||||
|
||||
#+begin_src matlab :results none
|
||||
figure;
|
||||
hold on;
|
||||
plot(m_ry(:, 3), m_ry(:, 1), 'DisplayName', 'Marble');
|
||||
plot(m_ry(:, 3), m_ry(:, 2), 'DisplayName', 'Ty');
|
||||
hold off;
|
||||
xlabel('Time [s]'); ylabel('Voltage [V]');
|
||||
legend('Location', 'northeast');
|
||||
xlim([0, 500]);
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:time_domain_m_ry
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/time_domain_m_ry.pdf" :var figsize="wide-normal" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:time_domain_m_ry
|
||||
#+CAPTION: Time domain - Marble and tilt stage
|
||||
#+RESULTS: fig:time_domain_m_ry
|
||||
[[file:figs/time_domain_m_ry.png]]
|
||||
|
||||
#+begin_src matlab :results none
|
||||
figure;
|
||||
hold on;
|
||||
plot(ty_ry(:, 3), ty_ry(:, 1), 'DisplayName', 'Ty');
|
||||
plot(ty_ry(:, 3), ty_ry(:, 2), 'DisplayName', 'Ry');
|
||||
hold off;
|
||||
xlabel('Time [s]'); ylabel('Voltage [V]');
|
||||
legend('Location', 'northeast');
|
||||
xlim([0, 500]);
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:time_domain_ty_ry
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/time_domain_ty_ry.pdf" :var figsize="wide-normal" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:time_domain_ty_ry
|
||||
#+CAPTION: Time domain - Translation stage and tilt stage
|
||||
#+RESULTS: fig:time_domain_ty_ry
|
||||
[[file:figs/time_domain_ty_ry.png]]
|
||||
|
||||
** Analysis - Frequency Domain
|
||||
#+begin_src matlab :results none
|
||||
dt = m_ty(2, 3) - m_ty(1, 3);
|
||||
|
||||
Fs = 1/dt;
|
||||
win = hanning(ceil(1*Fs));
|
||||
#+end_src
|
||||
|
||||
First, we compute the transfer function estimate between the two geophones for the 3 experiments (figure [[fig:compare_tf_geophones]]). We also plot their coherence (figure [[fig:coherence_two_geophones]]).
|
||||
#+begin_src matlab :results none
|
||||
[T_m_ty, f] = tfestimate(m_ty(:, 1), m_ty(:, 2), win, [], [], Fs);
|
||||
[T_m_ry, ~] = tfestimate(m_ry(:, 1), m_ry(:, 2), win, [], [], Fs);
|
||||
[T_ty_ry, ~] = tfestimate(ty_ry(:, 1), ty_ry(:, 2), win, [], [], Fs);
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :results none
|
||||
figure;
|
||||
ax1 = subplot(2, 1, 1);
|
||||
hold on;
|
||||
plot(f, abs(T_m_ty), 'DisplayName', 'Marble - Ty');
|
||||
plot(f, abs(T_m_ry), 'DisplayName', 'Marble - Ry');
|
||||
plot(f, abs(T_ty_ry), 'DisplayName', 'Ty - Ry');
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log'); set(gca, 'yscale', 'log');
|
||||
set(gca, 'XTickLabel',[]);
|
||||
ylabel('Magnitude');
|
||||
legend('Location', 'northwest');
|
||||
|
||||
ax2 = subplot(2, 1, 2);
|
||||
hold on;
|
||||
plot(f, mod(180+180/pi*phase(T_m_ty), 360)-180);
|
||||
plot(f, mod(180+180/pi*phase(T_m_ry), 360)-180);
|
||||
plot(f, mod(180+180/pi*phase(T_ty_ry), 360)-180);
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log');
|
||||
ylim([-180, 180]);
|
||||
yticks([-180, -90, 0, 90, 180]);
|
||||
xlabel('Frequency [Hz]'); ylabel('Phase');
|
||||
|
||||
linkaxes([ax1,ax2],'x');
|
||||
xlim([10, 500]);
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:compare_tf_geophones
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/compare_tf_geophones.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:compare_tf_geophones
|
||||
#+CAPTION: Transfer function from the first geophone to the second geophone for the three experiments
|
||||
#+RESULTS: fig:compare_tf_geophones
|
||||
[[file:figs/compare_tf_geophones.png]]
|
||||
|
||||
|
||||
#+begin_src matlab :results none
|
||||
[coh_m_ty, f] = mscohere(m_ty(:, 1), m_ty(:, 2), win, [], [], Fs);
|
||||
[coh_m_ry, ~] = mscohere(m_ry(:, 1), m_ry(:, 2), win, [], [], Fs);
|
||||
[coh_ty_ry, ~] = mscohere(ty_ry(:, 1), ty_ry(:, 2), win, [], [], Fs);
|
||||
#+end_src
|
||||
|
||||
#+begin_src matlab :results none :exports none
|
||||
figure;
|
||||
hold on;
|
||||
plot(f, coh_m_ty, 'DisplayName', 'Marble - Ty');
|
||||
plot(f, coh_m_ry, 'DisplayName', 'Marble - Ry');
|
||||
plot(f, coh_ty_ry, 'DisplayName', 'Ty - Ry');
|
||||
hold off;
|
||||
set(gca, 'xscale', 'log');
|
||||
xlabel('Frequency [Hz]'); ylabel('Coherence');
|
||||
ylim([0, 1]); xlim([1, 500]);
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:coherence_two_geophones
|
||||
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||
#+begin_src matlab :var filepath="figs/coherence_two_geophones.pdf" :var figsize="wide-normal" :post pdf2svg(file=*this*, ext="png")
|
||||
<<plt-matlab>>
|
||||
#+end_src
|
||||
|
||||
#+NAME: fig:coherence_two_geophones
|
||||
#+CAPTION: Coherence between the two geophones for the three experiments
|
||||
#+RESULTS: fig:coherence_two_geophones
|
||||
[[file:figs/coherence_two_geophones.png]]
|
||||
|
||||
** Conclusion
|
||||
#+begin_important
|
||||
These measurements are not relevant.
|
||||
#+end_important
|
||||
@@ -76,7 +76,7 @@ This Matlab function is accessible [[file:voltageToDisplacementL22.m][here]].
|
||||
#+begin_src matlab
|
||||
velocity = voltageToVelocityL22(voltage, time, gain);
|
||||
|
||||
disp = lsim(1/s, velocity, time);
|
||||
disp = lsim(1/(1+s/(2*pi*0.5)), velocity, time);
|
||||
#+end_src
|
||||
* getGroundVelocity
|
||||
:PROPERTIES:
|
||||
|
||||
@@ -15,4 +15,4 @@ s = zpk('s');
|
||||
|
||||
velocity = voltageToVelocityL22(voltage, time, gain);
|
||||
|
||||
disp = lsim(1/s, velocity, time);
|
||||
disp = lsim(1/(1+s/(2*pi*0.5)), velocity, time);
|
||||
|
||||
Reference in New Issue
Block a user