Change one measurement of folder
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other-measurements/figs/coherence_two_geophones.png
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other-measurements/figs/compare_tf_geophones.png
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other-measurements/mat/data_010.mat
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other-measurements/mat/data_010.mat
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other-measurements/mat/data_011.mat
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other-measurements/mat/data_012.mat
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other-measurements/matlab/tf_stages_geophone.m
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other-measurements/matlab/tf_stages_geophone.m
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%% Clear Workspace and Close figures
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clear; close all; clc;
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%% Intialize Laplace variable
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s = zpk('s');
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% Load data
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% We load the data of the z axis of two geophones.
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m_ty = load('mat/data_010.mat', 'data'); m_ty = m_ty.data;
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m_ry = load('mat/data_011.mat', 'data'); m_ry = m_ry.data;
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ty_ry = load('mat/data_012.mat', 'data'); ty_ry = ty_ry.data;
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% Analysis - Time Domain
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% First, we can look at the time domain data.
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figure;
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hold on;
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plot(m_ty(:, 3), m_ty(:, 1), 'DisplayName', 'Marble');
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plot(m_ty(:, 3), m_ty(:, 2), 'DisplayName', 'Ty');
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hold off;
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xlabel('Time [s]'); ylabel('Voltage [V]');
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legend('Location', 'northeast');
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xlim([0, 500]);
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% #+NAME: fig:time_domain_m_ty
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% #+CAPTION: Time domain - Marble and translation stage
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% #+RESULTS: fig:time_domain_m_ty
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% [[file:figs/time_domain_m_ty.png]]
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figure;
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hold on;
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plot(m_ry(:, 3), m_ry(:, 1), 'DisplayName', 'Marble');
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plot(m_ry(:, 3), m_ry(:, 2), 'DisplayName', 'Ty');
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hold off;
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xlabel('Time [s]'); ylabel('Voltage [V]');
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legend('Location', 'northeast');
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xlim([0, 500]);
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% #+NAME: fig:time_domain_m_ry
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% #+CAPTION: Time domain - Marble and tilt stage
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% #+RESULTS: fig:time_domain_m_ry
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% [[file:figs/time_domain_m_ry.png]]
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figure;
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hold on;
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plot(ty_ry(:, 3), ty_ry(:, 1), 'DisplayName', 'Ty');
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plot(ty_ry(:, 3), ty_ry(:, 2), 'DisplayName', 'Ry');
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hold off;
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xlabel('Time [s]'); ylabel('Voltage [V]');
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legend('Location', 'northeast');
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xlim([0, 500]);
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% Analysis - Frequency Domain
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dt = m_ty(2, 3) - m_ty(1, 3);
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Fs = 1/dt;
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win = hanning(ceil(1*Fs));
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% 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]]).
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[T_m_ty, f] = tfestimate(m_ty(:, 1), m_ty(:, 2), win, [], [], Fs);
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[T_m_ry, ~] = tfestimate(m_ry(:, 1), m_ry(:, 2), win, [], [], Fs);
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[T_ty_ry, ~] = tfestimate(ty_ry(:, 1), ty_ry(:, 2), win, [], [], Fs);
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figure;
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ax1 = subplot(2, 1, 1);
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hold on;
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plot(f, abs(T_m_ty), 'DisplayName', 'Marble - Ty');
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plot(f, abs(T_m_ry), 'DisplayName', 'Marble - Ry');
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plot(f, abs(T_ty_ry), 'DisplayName', 'Ty - Ry');
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hold off;
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set(gca, 'xscale', 'log'); set(gca, 'yscale', 'log');
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set(gca, 'XTickLabel',[]);
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ylabel('Magnitude');
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legend('Location', 'northwest');
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ax2 = subplot(2, 1, 2);
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hold on;
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plot(f, mod(180+180/pi*phase(T_m_ty), 360)-180);
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plot(f, mod(180+180/pi*phase(T_m_ry), 360)-180);
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plot(f, mod(180+180/pi*phase(T_ty_ry), 360)-180);
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hold off;
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set(gca, 'xscale', 'log');
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ylim([-180, 180]);
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yticks([-180, -90, 0, 90, 180]);
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xlabel('Frequency [Hz]'); ylabel('Phase');
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linkaxes([ax1,ax2],'x');
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xlim([10, 500]);
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% #+NAME: fig:compare_tf_geophones
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% #+CAPTION: Transfer function from the first geophone to the second geophone for the three experiments
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% #+RESULTS: fig:compare_tf_geophones
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% [[file:figs/compare_tf_geophones.png]]
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[coh_m_ty, f] = mscohere(m_ty(:, 1), m_ty(:, 2), win, [], [], Fs);
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[coh_m_ry, ~] = mscohere(m_ry(:, 1), m_ry(:, 2), win, [], [], Fs);
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[coh_ty_ry, ~] = mscohere(ty_ry(:, 1), ty_ry(:, 2), win, [], [], Fs);
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figure;
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hold on;
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plot(f, coh_m_ty, 'DisplayName', 'Marble - Ty');
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plot(f, coh_m_ry, 'DisplayName', 'Marble - Ry');
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plot(f, coh_ty_ry, 'DisplayName', 'Ty - Ry');
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hold off;
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set(gca, 'xscale', 'log');
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xlabel('Frequency [Hz]'); ylabel('Coherence');
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ylim([0, 1]); xlim([1, 500]);
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other-measurements/tf_geophone_stages.html
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other-measurements/tf_geophone_stages.html
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<title>Transfer function from velocity of one stage to the velocity of another stage using geophones</title>
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Copyright (C) 2012-2019 Free Software Foundation, Inc.
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The JavaScript code in this tag is free software: you can
|
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redistribute it and/or modify it under the terms of the GNU
|
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General Public License (GNU GPL) as published by the Free Software
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Foundation, either version 3 of the License, or (at your option)
|
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any later version. The code is distributed WITHOUT ANY WARRANTY;
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without even the implied warranty of MERCHANTABILITY or FITNESS
|
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FOR A PARTICULAR PURPOSE. See the GNU GPL for more details.
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|
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As additional permission under GNU GPL version 3 section 7, you
|
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may distribute non-source (e.g., minimized or compacted) forms of
|
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that code without the copy of the GNU GPL normally required by
|
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section 4, provided you include this license notice and a URL
|
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|
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@licend The above is the entire license notice
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for the JavaScript code in this tag.
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webFont: "TeX"
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},
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}
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src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.0/MathJax.js?config=TeX-AMS_HTML"></script>
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</head>
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||||
<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
|
||||
Reference in New Issue
Block a user