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<title>Measurements</title>
@ -273,76 +273,73 @@ for the JavaScript code in this tag.
<div id="org-div-home-and-up">
<a accesskey="h" href="../index.html"> UP </a>
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<a accesskey="H" href="index.html"> HOME </a>
<a accesskey="H" href="../index.html"> HOME </a>
</div><div id="content">
<h1 class="title">Measurements</h1>
<div id="table-of-contents">
<h2>Table of Contents</h2>
<div id="text-table-of-contents">
<ul>
<li><a href="#orge3291f9">1. Effect of all the control systems on the Sample vibrations</a>
<li><a href="#org45b9da8">1. Effect of all the control systems on the Sample vibrations</a>
<ul>
<li><a href="#orgb7f818b">1.1. Experimental Setup</a></li>
<li><a href="#org6339e93">1.2. Load data</a></li>
<li><a href="#orgb2bbf2a">1.3. Analysis - Time Domain</a></li>
<li><a href="#org939455f">1.4. Analysis - Frequency Domain</a>
<li><a href="#orgb2e67d9">1.1. Experimental Setup</a></li>
<li><a href="#org73ac9e9">1.2. Load data</a></li>
<li><a href="#orgeecd36c">1.3. Analysis - Time Domain</a></li>
<li><a href="#orgfaab8d1">1.4. Analysis - Frequency Domain</a>
<ul>
<li><a href="#org98343aa">1.4.1. Vibrations at the sample location</a></li>
<li><a href="#org2406379">1.4.2. Vibrations on the marble</a></li>
<li><a href="#org836648f">1.4.1. Vibrations at the sample location</a></li>
<li><a href="#org691a42a">1.4.2. Vibrations on the marble</a></li>
</ul>
</li>
<li><a href="#orgcd6174b">1.5. Effect of the control system on the transmissibility from ground to sample</a></li>
<li><a href="#orgb74951a">1.6. Conclusion</a></li>
<li><a href="#orgce679ab">1.5. Effect of the control system on the transmissibility from ground to sample</a></li>
<li><a href="#org0b4e90a">1.6. Conclusion</a></li>
</ul>
</li>
<li><a href="#orged1a63a">2. Effect of all the control systems on the Sample vibrations - One stage at a time</a>
<li><a href="#org621380e">2. Effect of all the control systems on the Sample vibrations - One stage at a time</a>
<ul>
<li><a href="#orgb02d791">2.1. Experimental Setup</a></li>
<li><a href="#orgc25694f">2.2. Load data</a></li>
<li><a href="#org91c4f39">2.3. Analysis - Time Domain</a></li>
<li><a href="#org748e4fb">2.4. Analysis - Frequency Domain</a>
<li><a href="#org4386dbf">2.1. Experimental Setup</a></li>
<li><a href="#orgc55405f">2.2. Load data</a></li>
<li><a href="#org71c55c3">2.3. Analysis - Time Domain</a></li>
<li><a href="#orgb76fa51">2.4. Analysis - Frequency Domain</a>
<ul>
<li><a href="#orgf475151">2.4.1. Vibrations at the sample location</a></li>
<li><a href="#orgd931999">2.4.2. Vibrations on the marble</a></li>
<li><a href="#orgae92b36">2.4.1. Vibrations at the sample location</a></li>
<li><a href="#org4c4f807">2.4.2. Vibrations on the marble</a></li>
</ul>
</li>
<li><a href="#org02fa0f5">2.5. Conclusion</a></li>
<li><a href="#orgae74838">2.5. Conclusion</a></li>
</ul>
</li>
<li><a href="#org419641c">3. Effect of the Symetrie Driver</a>
<li><a href="#orgf3303d1">3. Effect of the Symetrie Driver</a>
<ul>
<li><a href="#org0376ec1">3.1. Experimental Setup</a></li>
<li><a href="#orgd322b02">3.2. Load data</a></li>
<li><a href="#orgab00c14">3.3. Analysis - Time Domain</a></li>
<li><a href="#orgb49b710">3.4. Analysis - Frequency Domain</a>
<li><a href="#orgdb0af53">3.1. Experimental Setup</a></li>
<li><a href="#org2f810d9">3.2. Load data</a></li>
<li><a href="#org9d9b7f6">3.3. Analysis - Time Domain</a></li>
<li><a href="#org7595838">3.4. Analysis - Frequency Domain</a>
<ul>
<li><a href="#org29e0984">3.4.1. Vibrations at the sample location</a></li>
<li><a href="#org00afd4b">3.4.1. Vibrations at the sample location</a></li>
</ul>
</li>
<li><a href="#org0edc5e7">3.5. Conclusion</a></li>
<li><a href="#org6665fc3">3.5. Conclusion</a></li>
</ul>
</li>
<li><a href="#orgf05c480">4. Transfer function from one stage to the other</a>
<li><a href="#org221fc62">4. Transfer function from one stage to the other</a>
<ul>
<li><a href="#org314ff6f">4.1. Experimental Setup</a>
<li><a href="#orgf959afa">4.1. Experimental Setup</a>
<ul>
<li><a href="#orgc56982c">4.1.1. From Marble to Ty - <code>mat/meas_010.mat</code></a></li>
<li><a href="#org28719df">4.1.2. From Marble to Ry - <code>mat/meas_011.mat</code></a></li>
<li><a href="#orgfd497bf">4.1.3. From Ty to Ry - <code>mat/meas_012.mat</code></a></li>
<li><a href="#orgc0932ea">4.1.1. From Marble to Ty - <code>mat/meas_010.mat</code></a></li>
<li><a href="#org1b2ee1c">4.1.2. From Marble to Ry - <code>mat/meas_011.mat</code></a></li>
<li><a href="#orgdae0d89">4.1.3. From Ty to Ry - <code>mat/meas_012.mat</code></a></li>
</ul>
</li>
<li><a href="#orgeb58991">4.2. Load data</a></li>
<li><a href="#org62dcb2b">4.3. Analysis - Time Domain</a></li>
<li><a href="#org7d7634e">4.4. Analysis - Frequency Domain</a></li>
<li><a href="#orgefefe3f">4.5. Conclusion</a></li>
<li><a href="#org2c983a5">4.2. Load data</a></li>
<li><a href="#org42b8f6b">4.3. Analysis - Time Domain</a></li>
<li><a href="#org115c174">4.4. Analysis - Frequency Domain</a></li>
<li><a href="#org54c19c9">4.5. Conclusion</a></li>
</ul>
</li>
</ul>
</div>
</div>
<p>
<a href="../index.html">Back to main page</a>.
</p>
<p>
For all the measurements shown here:
@ -353,13 +350,12 @@ For all the measurements shown here:
<li>the voltage amplifiers include a low pass filter with a cut-off frequency at 1kHz</li>
</ul>
<div id="outline-container-orge3291f9" class="outline-2">
<h2 id="orge3291f9"><span class="section-number-2">1</span> Effect of all the control systems on the Sample vibrations</h2>
<div id="outline-container-org45b9da8" class="outline-2">
<h2 id="org45b9da8"><span class="section-number-2">1</span> Effect of all the control systems on the Sample vibrations</h2>
<div class="outline-text-2" id="text-1">
<p>
<a id="orgce98253"></a>
<a id="org2854bd7"></a>
</p>
<div class="note">
<p>
All the files (data and Matlab scripts) are accessible <a href="data/effect_control_all.zip">here</a>.
@ -368,8 +364,8 @@ All the files (data and Matlab scripts) are accessible <a href="data/effect_cont
</div>
</div>
<div id="outline-container-orgb7f818b" class="outline-3">
<h3 id="orgb7f818b"><span class="section-number-3">1.1</span> Experimental Setup</h3>
<div id="outline-container-orgb2e67d9" class="outline-3">
<h3 id="orgb2e67d9"><span class="section-number-3">1.1</span> Experimental Setup</h3>
<div class="outline-text-3" id="text-1-1">
<p>
We here measure the signals of two geophones:
@ -388,7 +384,7 @@ First, all the control systems are turned ON, then, they are turned one by one.
Each measurement are done during 50s.
</p>
<table id="orge386ef2" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<table id="orge5af191" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<caption class="t-above"><span class="table-number">Table 1:</span> Summary of the measurements and the states of the control systems</caption>
<colgroup>
@ -508,8 +504,8 @@ Each of the <code>mat</code> file contains one array <code>data</code> with 3 co
</div>
</div>
<div id="outline-container-org6339e93" class="outline-3">
<h3 id="org6339e93"><span class="section-number-3">1.2</span> Load data</h3>
<div id="outline-container-org73ac9e9" class="outline-3">
<h3 id="org73ac9e9"><span class="section-number-3">1.2</span> Load data</h3>
<div class="outline-text-3" id="text-1-2">
<p>
We load the data of the z axis of two geophones.
@ -526,15 +522,15 @@ d8 = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-s
</div>
</div>
<div id="outline-container-orgb2bbf2a" class="outline-3">
<h3 id="orgb2bbf2a"><span class="section-number-3">1.3</span> Analysis - Time Domain</h3>
<div id="outline-container-orgeecd36c" class="outline-3">
<h3 id="orgeecd36c"><span class="section-number-3">1.3</span> Analysis - Time Domain</h3>
<div class="outline-text-3" id="text-1-3">
<p>
First, we can look at the time domain data and compare all the measurements:
</p>
<ul class="org-ul">
<li>comparison for the geophone at the sample location (figure <a href="#org1d9fd16">1</a>)</li>
<li>comparison for the geophone on the granite (figure <a href="#org9c5a166">2</a>)</li>
<li>comparison for the geophone at the sample location (figure <a href="#org1d3a54d">1</a>)</li>
<li>comparison for the geophone on the granite (figure <a href="#org322b5af">2</a>)</li>
</ul>
<div class="org-src-container">
@ -554,7 +550,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
<div id="org1d9fd16" class="figure">
<div id="org1d3a54d" class="figure">
<p><img src="figs/time_domain_sample.png" alt="time_domain_sample.png" />
</p>
<p><span class="figure-number">Figure 1: </span>Comparison of the time domain data when turning off the control system of the stages - Geophone at the sample location</p>
@ -578,7 +574,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
<div id="org9c5a166" class="figure">
<div id="org322b5af" class="figure">
<p><img src="figs/time_domain_marble.png" alt="time_domain_marble.png" />
</p>
<p><span class="figure-number">Figure 2: </span>Comparison of the time domain data when turning off the control system of the stages - Geophone on the marble</p>
@ -586,8 +582,8 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
</div>
<div id="outline-container-org939455f" class="outline-3">
<h3 id="org939455f"><span class="section-number-3">1.4</span> Analysis - Frequency Domain</h3>
<div id="outline-container-orgfaab8d1" class="outline-3">
<h3 id="orgfaab8d1"><span class="section-number-3">1.4</span> Analysis - Frequency Domain</h3>
<div class="outline-text-3" id="text-1-4">
<div class="org-src-container">
<pre class="src src-matlab">dt = d3<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> d3<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>;
@ -598,8 +594,8 @@ win = hanning<span class="org-rainbow-delimiters-depth-1">(</span>ceil<span clas
</div>
</div>
<div id="outline-container-org98343aa" class="outline-4">
<h4 id="org98343aa"><span class="section-number-4">1.4.1</span> Vibrations at the sample location</h4>
<div id="outline-container-org836648f" class="outline-4">
<h4 id="org836648f"><span class="section-number-4">1.4.1</span> Vibrations at the sample location</h4>
<div class="outline-text-4" id="text-1-4-1">
<p>
First, we compute the Power Spectral Density of the signals coming from the Geophone located at the sample location.
@ -615,7 +611,7 @@ First, we compute the Power Spectral Density of the signals coming from the Geop
</div>
<p>
And we compare all the signals (figures <a href="#org19f9706">3</a> and <a href="#orgfb18b9c">4</a>).
And we compare all the signals (figures <a href="#org162cdb3">3</a> and <a href="#orgf67d322">4</a>).
</p>
<div class="org-src-container">
<pre class="src src-matlab"><span class="org-type">figure</span>;
@ -636,7 +632,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
<div id="org19f9706" class="figure">
<div id="org162cdb3" class="figure">
<p><img src="figs/psd_sample_comp.png" alt="psd_sample_comp.png" />
</p>
<p><span class="figure-number">Figure 3: </span>Amplitude Spectral Density of the signal coming from the top geophone</p>
@ -644,7 +640,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
<div id="orgfb18b9c" class="figure">
<div id="orgf67d322" class="figure">
<p><img src="figs/psd_sample_comp_high_freq.png" alt="psd_sample_comp_high_freq.png" />
</p>
<p><span class="figure-number">Figure 4: </span>Amplitude Spectral Density of the signal coming from the top geophone (zoom at high frequencies)</p>
@ -652,8 +648,8 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
</div>
<div id="outline-container-org2406379" class="outline-4">
<h4 id="org2406379"><span class="section-number-4">1.4.2</span> Vibrations on the marble</h4>
<div id="outline-container-org691a42a" class="outline-4">
<h4 id="org691a42a"><span class="section-number-4">1.4.2</span> Vibrations on the marble</h4>
<div class="outline-text-4" id="text-1-4-2">
<p>
Now we plot the same curves for the geophone located on the marble.
@ -669,7 +665,7 @@ Now we plot the same curves for the geophone located on the marble.
</div>
<p>
And we compare the Amplitude Spectral Densities (figures <a href="#org24e988b">5</a> and <a href="#org50ff18b">6</a>)
And we compare the Amplitude Spectral Densities (figures <a href="#org989d197">5</a> and <a href="#org799c8d6">6</a>)
</p>
<div class="org-src-container">
<pre class="src src-matlab"><span class="org-type">figure</span>;
@ -690,7 +686,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
<div id="org24e988b" class="figure">
<div id="org989d197" class="figure">
<p><img src="figs/psd_marble_comp.png" alt="psd_marble_comp.png" />
</p>
<p><span class="figure-number">Figure 5: </span>Amplitude Spectral Density of the signal coming from the top geophone</p>
@ -698,7 +694,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
<div id="org50ff18b" class="figure">
<div id="org799c8d6" class="figure">
<p><img src="figs/psd_marble_comp_high_freq.png" alt="psd_marble_comp_high_freq.png" />
</p>
<p><span class="figure-number">Figure 6: </span>Amplitude Spectral Density of the signal coming from the top geophone (zoom at high frequencies)</p>
@ -706,11 +702,11 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
</div>
</div>
<div id="outline-container-orgcd6174b" class="outline-3">
<h3 id="orgcd6174b"><span class="section-number-3">1.5</span> Effect of the control system on the transmissibility from ground to sample</h3>
<div id="outline-container-orgce679ab" class="outline-3">
<h3 id="orgce679ab"><span class="section-number-3">1.5</span> Effect of the control system on the transmissibility from ground to sample</h3>
<div class="outline-text-3" id="text-1-5">
<p>
As the feedback loops change the dynamics of the system, we should see differences on the transfer function from marble velocity to sample velocity when turning off the control systems (figure <a href="#org79e59b9">7</a>).
As the feedback loops change the dynamics of the system, we should see differences on the transfer function from marble velocity to sample velocity when turning off the control systems (figure <a href="#org69857ac">7</a>).
</p>
<div class="org-src-container">
@ -770,15 +766,15 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
<div id="org79e59b9" class="figure">
<div id="org69857ac" class="figure">
<p><img src="figs/trans_comp.png" alt="trans_comp.png" />
</p>
<p><span class="figure-number">Figure 7: </span>Comparison of the transfer function from the geophone on the marble to the geophone at the sample location</p>
</div>
</div>
</div>
<div id="outline-container-orgb74951a" class="outline-3">
<h3 id="orgb74951a"><span class="section-number-3">1.6</span> Conclusion</h3>
<div id="outline-container-org0b4e90a" class="outline-3">
<h3 id="org0b4e90a"><span class="section-number-3">1.6</span> Conclusion</h3>
<div class="outline-text-3" id="text-1-6">
<div class="important">
<ul class="org-ul">
@ -797,13 +793,12 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
</div>
<div id="outline-container-orged1a63a" class="outline-2">
<h2 id="orged1a63a"><span class="section-number-2">2</span> Effect of all the control systems on the Sample vibrations - One stage at a time</h2>
<div id="outline-container-org621380e" class="outline-2">
<h2 id="org621380e"><span class="section-number-2">2</span> Effect of all the control systems on the Sample vibrations - One stage at a time</h2>
<div class="outline-text-2" id="text-2">
<p>
<a id="orgb4369e7"></a>
<a id="orgad642c0"></a>
</p>
<div class="note">
<p>
All the files (data and Matlab scripts) are accessible <a href="data/effect_control_one.zip">here</a>.
@ -812,8 +807,8 @@ All the files (data and Matlab scripts) are accessible <a href="data/effect_cont
</div>
</div>
<div id="outline-container-orgb02d791" class="outline-3">
<h3 id="orgb02d791"><span class="section-number-3">2.1</span> Experimental Setup</h3>
<div id="outline-container-org4386dbf" class="outline-3">
<h3 id="org4386dbf"><span class="section-number-3">2.1</span> Experimental Setup</h3>
<div class="outline-text-3" id="text-2-1">
<p>
We here measure the signals of two geophones:
@ -836,11 +831,11 @@ Each measurement are done during 100s.
</p>
<p>
The settings of the voltage amplifier are shown on figure <a href="#org3c63500">8</a>.
The settings of the voltage amplifier are shown on figure <a href="#org988acc8">8</a>.
A first order low pass filter with a cut-off frequency of 1kHz is added before the voltage amplifier.
</p>
<table id="orgcd4ff5c" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<table id="org5e6157e" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<caption class="t-above"><span class="table-number">Table 2:</span> Summary of the measurements and the states of the control systems</caption>
<colgroup>
@ -959,7 +954,7 @@ Each of the <code>mat</code> file contains one array <code>data</code> with 3 co
</table>
<div id="org3c63500" class="figure">
<div id="org988acc8" class="figure">
<p><img src="./img/IMG_20190507_101459.jpg" alt="IMG_20190507_101459.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 8: </span>Voltage amplifier settings for the measurement</p>
@ -967,8 +962,8 @@ Each of the <code>mat</code> file contains one array <code>data</code> with 3 co
</div>
</div>
<div id="outline-container-orgc25694f" class="outline-3">
<h3 id="orgc25694f"><span class="section-number-3">2.2</span> Load data</h3>
<div id="outline-container-orgc55405f" class="outline-3">
<h3 id="orgc55405f"><span class="section-number-3">2.2</span> Load data</h3>
<div class="outline-text-3" id="text-2-2">
<p>
We load the data of the z axis of two geophones.
@ -985,15 +980,15 @@ d_he = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org
</div>
</div>
<div id="outline-container-org91c4f39" class="outline-3">
<h3 id="org91c4f39"><span class="section-number-3">2.3</span> Analysis - Time Domain</h3>
<div id="outline-container-org71c55c3" class="outline-3">
<h3 id="org71c55c3"><span class="section-number-3">2.3</span> Analysis - Time Domain</h3>
<div class="outline-text-3" id="text-2-3">
<p>
First, we can look at the time domain data and compare all the measurements:
</p>
<ul class="org-ul">
<li>comparison for the geophone at the sample location (figure <a href="#orgc6c9092">9</a>)</li>
<li>comparison for the geophone on the granite (figure <a href="#org8c9eb5f">10</a>)</li>
<li>comparison for the geophone at the sample location (figure <a href="#orgbcdf0fa">9</a>)</li>
<li>comparison for the geophone on the granite (figure <a href="#orgc003546">10</a>)</li>
</ul>
<div class="org-src-container">
@ -1013,7 +1008,7 @@ legend<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-stri
</div>
<div id="orgc6c9092" class="figure">
<div id="orgbcdf0fa" class="figure">
<p><img src="figs/time_domain_sample_lpf.png" alt="time_domain_sample_lpf.png" />
</p>
<p><span class="figure-number">Figure 9: </span>Comparison of the time domain data when turning off the control system of the stages - Geophone at the sample location</p>
@ -1037,7 +1032,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
<div id="org8c9eb5f" class="figure">
<div id="orgc003546" class="figure">
<p><img src="figs/time_domain_marble_lpf.png" alt="time_domain_marble_lpf.png" />
</p>
<p><span class="figure-number">Figure 10: </span>Comparison of the time domain data when turning off the control system of the stages - Geophone on the marble</p>
@ -1045,8 +1040,8 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
</div>
<div id="outline-container-org748e4fb" class="outline-3">
<h3 id="org748e4fb"><span class="section-number-3">2.4</span> Analysis - Frequency Domain</h3>
<div id="outline-container-orgb76fa51" class="outline-3">
<h3 id="orgb76fa51"><span class="section-number-3">2.4</span> Analysis - Frequency Domain</h3>
<div class="outline-text-3" id="text-2-4">
<div class="org-src-container">
<pre class="src src-matlab">dt = d_of<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> d_of<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>;
@ -1057,8 +1052,8 @@ win = hanning<span class="org-rainbow-delimiters-depth-1">(</span>ceil<span clas
</div>
</div>
<div id="outline-container-orgf475151" class="outline-4">
<h4 id="orgf475151"><span class="section-number-4">2.4.1</span> Vibrations at the sample location</h4>
<div id="outline-container-orgae92b36" class="outline-4">
<h4 id="orgae92b36"><span class="section-number-4">2.4.1</span> Vibrations at the sample location</h4>
<div class="outline-text-4" id="text-2-4-1">
<p>
First, we compute the Power Spectral Density of the signals coming from the Geophone located at the sample location.
@ -1074,7 +1069,7 @@ First, we compute the Power Spectral Density of the signals coming from the Geop
</div>
<p>
And we compare all the signals (figures <a href="#orgfcdac5a">11</a> and <a href="#orgdc64e82">12</a>).
And we compare all the signals (figures <a href="#org726c86e">11</a> and <a href="#org9662613">12</a>).
</p>
<div class="org-src-container">
<pre class="src src-matlab"><span class="org-type">figure</span>;
@ -1095,7 +1090,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
<div id="orgfcdac5a" class="figure">
<div id="org726c86e" class="figure">
<p><img src="figs/psd_sample_comp_lpf.png" alt="psd_sample_comp_lpf.png" />
</p>
<p><span class="figure-number">Figure 11: </span>Amplitude Spectral Density of the signal coming from the top geophone</p>
@ -1103,7 +1098,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
<div id="orgdc64e82" class="figure">
<div id="org9662613" class="figure">
<p><img src="figs/psd_sample_comp_high_freq_lpf.png" alt="psd_sample_comp_high_freq_lpf.png" />
</p>
<p><span class="figure-number">Figure 12: </span>Amplitude Spectral Density of the signal coming from the top geophone (zoom at high frequencies)</p>
@ -1111,8 +1106,8 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
</div>
<div id="outline-container-orgd931999" class="outline-4">
<h4 id="orgd931999"><span class="section-number-4">2.4.2</span> Vibrations on the marble</h4>
<div id="outline-container-org4c4f807" class="outline-4">
<h4 id="org4c4f807"><span class="section-number-4">2.4.2</span> Vibrations on the marble</h4>
<div class="outline-text-4" id="text-2-4-2">
<p>
Now we plot the same curves for the geophone located on the marble.
@ -1128,7 +1123,7 @@ Now we plot the same curves for the geophone located on the marble.
</div>
<p>
And we compare the Amplitude Spectral Densities (figures <a href="#org0aa0d45">13</a> and <a href="#orgf325170">14</a>)
And we compare the Amplitude Spectral Densities (figures <a href="#org7b4f7ef">13</a> and <a href="#org56d9b94">14</a>)
</p>
<div class="org-src-container">
<pre class="src src-matlab"><span class="org-type">figure</span>;
@ -1149,7 +1144,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
<div id="org0aa0d45" class="figure">
<div id="org7b4f7ef" class="figure">
<p><img src="figs/psd_marble_comp_lpf.png" alt="psd_marble_comp_lpf.png" />
</p>
<p><span class="figure-number">Figure 13: </span>Amplitude Spectral Density of the signal coming from geophone located on the marble</p>
@ -1157,7 +1152,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
<div id="orgf325170" class="figure">
<div id="org56d9b94" class="figure">
<p><img src="figs/psd_marble_comp_lpf_high_freq.png" alt="psd_marble_comp_lpf_high_freq.png" />
</p>
<p><span class="figure-number">Figure 14: </span>Amplitude Spectral Density of the signal coming from the geophone located on the marble (zoom at high frequencies)</p>
@ -1166,8 +1161,8 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
</div>
<div id="outline-container-org02fa0f5" class="outline-3">
<h3 id="org02fa0f5"><span class="section-number-3">2.5</span> Conclusion</h3>
<div id="outline-container-orgae74838" class="outline-3">
<h3 id="orgae74838"><span class="section-number-3">2.5</span> Conclusion</h3>
<div class="outline-text-3" id="text-2-5">
<div class="important">
<ul class="org-ul">
@ -1180,13 +1175,12 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
</div>
<div id="outline-container-org419641c" class="outline-2">
<h2 id="org419641c"><span class="section-number-2">3</span> Effect of the Symetrie Driver</h2>
<div id="outline-container-orgf3303d1" class="outline-2">
<h2 id="orgf3303d1"><span class="section-number-2">3</span> Effect of the Symetrie Driver</h2>
<div class="outline-text-2" id="text-3">
<p>
<a id="org16105f2"></a>
<a id="org4504c7f"></a>
</p>
<div class="note">
<p>
All the files (data and Matlab scripts) are accessible <a href="data/effect_symetrie_driver.zip">here</a>.
@ -1195,8 +1189,8 @@ All the files (data and Matlab scripts) are accessible <a href="data/effect_syme
</div>
</div>
<div id="outline-container-org0376ec1" class="outline-3">
<h3 id="org0376ec1"><span class="section-number-3">3.1</span> Experimental Setup</h3>
<div id="outline-container-orgdb0af53" class="outline-3">
<h3 id="orgdb0af53"><span class="section-number-3">3.1</span> Experimental Setup</h3>
<div class="outline-text-3" id="text-3-1">
<p>
We here measure the signals of two geophones:
@ -1276,8 +1270,8 @@ Each of the <code>mat</code> file contains one array <code>data</code> with 3 co
</div>
</div>
<div id="outline-container-orgd322b02" class="outline-3">
<h3 id="orgd322b02"><span class="section-number-3">3.2</span> Load data</h3>
<div id="outline-container-org2f810d9" class="outline-3">
<h3 id="org2f810d9"><span class="section-number-3">3.2</span> Load data</h3>
<div class="outline-text-3" id="text-3-2">
<p>
We load the data of the z axis of two geophones.
@ -1290,8 +1284,8 @@ d_19 = load<span class="org-rainbow-delimiters-depth-1">(</span>'mat<span class=
</div>
</div>
<div id="outline-container-orgab00c14" class="outline-3">
<h3 id="orgab00c14"><span class="section-number-3">3.3</span> Analysis - Time Domain</h3>
<div id="outline-container-org9d9b7f6" class="outline-3">
<h3 id="org9d9b7f6"><span class="section-number-3">3.3</span> Analysis - Time Domain</h3>
<div class="outline-text-3" id="text-3-3">
<div class="org-src-container">
<pre class="src src-matlab"><span class="org-type">figure</span>;
@ -1306,7 +1300,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
<div id="orge312f8b" class="figure">
<div id="orgd41a63b" class="figure">
<p><img src="figs/time_domain_hexa_driver.png" alt="time_domain_hexa_driver.png" />
</p>
<p><span class="figure-number">Figure 15: </span>Comparison of the time domain data when turning off the control system of the stages - Geophone at the sample location</p>
@ -1314,8 +1308,8 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
</div>
<div id="outline-container-orgb49b710" class="outline-3">
<h3 id="orgb49b710"><span class="section-number-3">3.4</span> Analysis - Frequency Domain</h3>
<div id="outline-container-org7595838" class="outline-3">
<h3 id="org7595838"><span class="section-number-3">3.4</span> Analysis - Frequency Domain</h3>
<div class="outline-text-3" id="text-3-4">
<div class="org-src-container">
<pre class="src src-matlab">dt = d_18<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> d_18<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>;
@ -1326,8 +1320,8 @@ win = hanning<span class="org-rainbow-delimiters-depth-1">(</span>ceil<span clas
</div>
</div>
<div id="outline-container-org29e0984" class="outline-4">
<h4 id="org29e0984"><span class="section-number-4">3.4.1</span> Vibrations at the sample location</h4>
<div id="outline-container-org00afd4b" class="outline-4">
<h4 id="org00afd4b"><span class="section-number-4">3.4.1</span> Vibrations at the sample location</h4>
<div class="outline-text-4" id="text-3-4-1">
<p>
First, we compute the Power Spectral Density of the signals coming from the Geophone located at the sample location.
@ -1353,7 +1347,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
<div id="org5b1abf9" class="figure">
<div id="orgd04dfa2" class="figure">
<p><img src="figs/psd_hexa_driver.png" alt="psd_hexa_driver.png" />
</p>
<p><span class="figure-number">Figure 16: </span>Amplitude Spectral Density of the signal coming from the top geophone</p>
@ -1361,7 +1355,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
<div id="orge028598" class="figure">
<div id="orga59280d" class="figure">
<p><img src="figs/psd_hexa_driver_high_freq.png" alt="psd_hexa_driver_high_freq.png" />
</p>
<p><span class="figure-number">Figure 17: </span>Amplitude Spectral Density of the signal coming from the top geophone (zoom at high frequencies)</p>
@ -1370,8 +1364,8 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
</div>
<div id="outline-container-org0edc5e7" class="outline-3">
<h3 id="org0edc5e7"><span class="section-number-3">3.5</span> Conclusion</h3>
<div id="outline-container-org6665fc3" class="outline-3">
<h3 id="org6665fc3"><span class="section-number-3">3.5</span> Conclusion</h3>
<div class="outline-text-3" id="text-3-5">
<div class="important">
<p>
@ -1383,13 +1377,12 @@ Even tough the Hexapod's driver vibrates quite a lot, it does not generate signi
</div>
</div>
<div id="outline-container-orgf05c480" class="outline-2">
<h2 id="orgf05c480"><span class="section-number-2">4</span> Transfer function from one stage to the other</h2>
<div id="outline-container-org221fc62" class="outline-2">
<h2 id="org221fc62"><span class="section-number-2">4</span> Transfer function from one stage to the other</h2>
<div class="outline-text-2" id="text-4">
<p>
<a id="org0be507d"></a>
<a id="org796fd46"></a>
</p>
<div class="note">
<p>
All the files (data and Matlab scripts) are accessible <a href="data/tf_stages_geophone.zip">here</a>.
@ -1398,8 +1391,8 @@ All the files (data and Matlab scripts) are accessible <a href="data/tf_stages_g
</div>
</div>
<div id="outline-container-org314ff6f" class="outline-3">
<h3 id="org314ff6f"><span class="section-number-3">4.1</span> Experimental Setup</h3>
<div id="outline-container-orgf959afa" class="outline-3">
<h3 id="orgf959afa"><span class="section-number-3">4.1</span> Experimental Setup</h3>
<div class="outline-text-3" id="text-4-1">
<p>
For all the measurements in this section:
@ -1410,11 +1403,11 @@ For all the measurements in this section:
</ul>
</div>
<div id="outline-container-orgc56982c" class="outline-4">
<h4 id="orgc56982c"><span class="section-number-4">4.1.1</span> From Marble to Ty - <code>mat/meas_010.mat</code></h4>
<div id="outline-container-orgc0932ea" class="outline-4">
<h4 id="orgc0932ea"><span class="section-number-4">4.1.1</span> From Marble to Ty - <code>mat/meas_010.mat</code></h4>
<div class="outline-text-4" id="text-4-1-1">
<p>
One geophone is on the marble, one is on the Ty stage (see figures <a href="#orged2b8d6">18</a>, <a href="#org4f68210">19</a> and <a href="#orga6a543e">20</a>).
One geophone is on the marble, one is on the Ty stage (see figures <a href="#org8c67d5e">18</a>, <a href="#orgf8209e5">19</a> and <a href="#orgbda1be3">20</a>).
</p>
<p>
@ -1453,21 +1446,21 @@ The <code>data</code> array contains the following columns:
</table>
<div id="orged2b8d6" class="figure">
<div id="org8c67d5e" class="figure">
<p><img src="./img/IMG_20190430_155330.jpg" alt="IMG_20190430_155330.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 18: </span>Setup with one geophone on the marble and one on top of the translation stage</p>
</div>
<div id="org4f68210" class="figure">
<div id="orgf8209e5" class="figure">
<p><img src="./img/IMG_20190430_155335.jpg" alt="IMG_20190430_155335.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 19: </span>Setup with one geophone on the marble and one on top of the translation stage - Close up view</p>
</div>
<div id="orga6a543e" class="figure">
<div id="orgbda1be3" class="figure">
<p><img src="./img/IMG_20190430_155342.jpg" alt="IMG_20190430_155342.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 20: </span>Setup with one geophone on the marble and one on top of the translation stage - Top view</p>
@ -1475,11 +1468,11 @@ The <code>data</code> array contains the following columns:
</div>
</div>
<div id="outline-container-org28719df" class="outline-4">
<h4 id="org28719df"><span class="section-number-4">4.1.2</span> From Marble to Ry - <code>mat/meas_011.mat</code></h4>
<div id="outline-container-org1b2ee1c" class="outline-4">
<h4 id="org1b2ee1c"><span class="section-number-4">4.1.2</span> From Marble to Ry - <code>mat/meas_011.mat</code></h4>
<div class="outline-text-4" id="text-4-1-2">
<p>
One geophone is on the marble, one is on the Ry stage (see figure <a href="#org3c59300">21</a>)
One geophone is on the marble, one is on the Ry stage (see figure <a href="#orge1aacc9">21</a>)
</p>
<p>
@ -1518,7 +1511,7 @@ The <code>data</code> array contains the following columns:
</table>
<div id="org3c59300" class="figure">
<div id="orge1aacc9" class="figure">
<p><img src="./img/IMG_20190430_163919.jpg" alt="IMG_20190430_163919.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 21: </span>Setup with one geophone on the marble and one on top of the Tilt Stage</p>
@ -1526,11 +1519,11 @@ The <code>data</code> array contains the following columns:
</div>
</div>
<div id="outline-container-orgfd497bf" class="outline-4">
<h4 id="orgfd497bf"><span class="section-number-4">4.1.3</span> From Ty to Ry - <code>mat/meas_012.mat</code></h4>
<div id="outline-container-orgdae0d89" class="outline-4">
<h4 id="orgdae0d89"><span class="section-number-4">4.1.3</span> From Ty to Ry - <code>mat/meas_012.mat</code></h4>
<div class="outline-text-4" id="text-4-1-3">
<p>
One geophone is on the Ty stage, one is on the Ry stage (see figures <a href="#org87ee9cc">22</a>, <a href="#orgd4fa83b">23</a> and <a href="#org49d1927">24</a>)
One geophone is on the Ty stage, one is on the Ry stage (see figures <a href="#org1152c2d">22</a>, <a href="#orgba78dd0">23</a> and <a href="#org451336d">24</a>)
One geophone on the Ty stage, one geophone on the Ry stage.
</p>
@ -1570,21 +1563,21 @@ The <code>data</code> array contains the following columns:
</table>
<div id="org87ee9cc" class="figure">
<div id="org1152c2d" class="figure">
<p><img src="./img/IMG_20190430_170405.jpg" alt="IMG_20190430_170405.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 22: </span>Setup with one geophone on the translation stage and one on top of the Tilt Stage</p>
</div>
<div id="orgd4fa83b" class="figure">
<div id="orgba78dd0" class="figure">
<p><img src="./img/IMG_20190430_170418.jpg" alt="IMG_20190430_170418.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 23: </span>Setup with one geophone on the translation stage and one on top of the Tilt Stage - Top view</p>
</div>
<div id="org49d1927" class="figure">
<div id="org451336d" class="figure">
<p><img src="./img/IMG_20190430_170425.jpg" alt="IMG_20190430_170425.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 24: </span>Setup with one geophone on the translation stage and one on top of the Tilt Stage - Close up view</p>
@ -1593,8 +1586,8 @@ The <code>data</code> array contains the following columns:
</div>
</div>
<div id="outline-container-orgeb58991" class="outline-3">
<h3 id="orgeb58991"><span class="section-number-3">4.2</span> Load data</h3>
<div id="outline-container-org2c983a5" class="outline-3">
<h3 id="org2c983a5"><span class="section-number-3">4.2</span> Load data</h3>
<div class="outline-text-3" id="text-4-2">
<p>
We load the data of the z axis of two geophones.
@ -1608,8 +1601,8 @@ ty_ry = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="or
</div>
</div>
<div id="outline-container-org62dcb2b" class="outline-3">
<h3 id="org62dcb2b"><span class="section-number-3">4.3</span> Analysis - Time Domain</h3>
<div id="outline-container-org42b8f6b" class="outline-3">
<h3 id="org42b8f6b"><span class="section-number-3">4.3</span> Analysis - Time Domain</h3>
<div class="outline-text-3" id="text-4-3">
<p>
First, we can look at the time domain data.
@ -1628,7 +1621,7 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
<div id="orgf85137c" class="figure">
<div id="org2867fc0" class="figure">
<p><img src="figs/time_domain_m_ty.png" alt="time_domain_m_ty.png" />
</p>
<p><span class="figure-number">Figure 25: </span>Time domain - Marble and translation stage</p>
@ -1648,7 +1641,7 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
<div id="org097b9c9" class="figure">
<div id="org5d87311" class="figure">
<p><img src="figs/time_domain_m_ry.png" alt="time_domain_m_ry.png" />
</p>
<p><span class="figure-number">Figure 26: </span>Time domain - Marble and tilt stage</p>
@ -1667,7 +1660,7 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
<div id="orgc6dfbdc" class="figure">
<div id="orgea0aed0" class="figure">
<p><img src="figs/time_domain_ty_ry.png" alt="time_domain_ty_ry.png" />
</p>
<p><span class="figure-number">Figure 27: </span>Time domain - Translation stage and tilt stage</p>
@ -1675,8 +1668,8 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
</div>
<div id="outline-container-org7d7634e" class="outline-3">
<h3 id="org7d7634e"><span class="section-number-3">4.4</span> Analysis - Frequency Domain</h3>
<div id="outline-container-org115c174" class="outline-3">
<h3 id="org115c174"><span class="section-number-3">4.4</span> Analysis - Frequency Domain</h3>
<div class="outline-text-3" id="text-4-4">
<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>;
@ -1687,7 +1680,7 @@ win = hanning<span class="org-rainbow-delimiters-depth-1">(</span>ceil<span clas
</div>
<p>
First, we compute the transfer function estimate between the two geophones for the 3 experiments (figure <a href="#org25d24fa">28</a>). We also plot their coherence (figure <a href="#org95ff63f">29</a>).
First, we compute the transfer function estimate between the two geophones for the 3 experiments (figure <a href="#orge687ca9">28</a>). We also plot their coherence (figure <a href="#org2832d9c">29</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>;
@ -1726,7 +1719,7 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
<div id="org25d24fa" class="figure">
<div id="orge687ca9" class="figure">
<p><img src="figs/compare_tf_geophones.png" alt="compare_tf_geophones.png" />
</p>
<p><span class="figure-number">Figure 28: </span>Transfer function from the first geophone to the second geophone for the three experiments</p>
@ -1741,7 +1734,7 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
<div id="org95ff63f" class="figure">
<div id="org2832d9c" class="figure">
<p><img src="figs/coherence_two_geophones.png" alt="coherence_two_geophones.png" />
</p>
<p><span class="figure-number">Figure 29: </span>Coherence between the two geophones for the three experiments</p>
@ -1749,8 +1742,8 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
</div>
<div id="outline-container-orgefefe3f" class="outline-3">
<h3 id="orgefefe3f"><span class="section-number-3">4.5</span> Conclusion</h3>
<div id="outline-container-org54c19c9" class="outline-3">
<h3 id="org54c19c9"><span class="section-number-3">4.5</span> Conclusion</h3>
<div class="outline-text-3" id="text-4-5">
<div class="important">
<p>
@ -1764,7 +1757,7 @@ These measurements are not relevant.
</div>
<div id="postamble" class="status">
<p class="author">Author: Dehaeze Thomas</p>
<p class="date">Created: 2019-05-10 ven. 11:35</p>
<p class="date">Created: 2019-05-14 mar. 22:53</p>
<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
</div>
</body>

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@ -3,7 +3,7 @@
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<title>Measurement of the ID31 Micro-Station</title>
@ -254,83 +254,59 @@ for the JavaScript code in this tag.
<h2>Table of Contents</h2>
<div id="text-table-of-contents">
<ul>
<li><a href="#orgedddafa">1. Measurements of the dynamics of the station</a>
<li><a href="#org3dd37ca">1. Measurements of the dynamics of the station</a>
<ul>
<li><a href="#orga36da1d">1.1. Measurement 1</a>
<li><a href="#orgc6a04a7">1.1. Measurement 1</a>
<ul>
<li><a href="#orge2e9aa5">1.1.1. Notes</a></li>
<li><a href="#orgbf085fe">1.1.2. Goal</a></li>
<li><a href="#orgb55b74a">1.1.3. Results</a></li>
<li><a href="#org3d7d31e">1.1.1. Notes</a></li>
<li><a href="#org6f222a5">1.1.2. Goal</a></li>
<li><a href="#org66caa3c">1.1.3. Results</a></li>
</ul>
</li>
<li><a href="#org4cbbced">1.2. Measurement 2</a>
<li><a href="#orga240707">1.2. Measurement 2</a>
<ul>
<li><a href="#org4f66738">1.2.1. Notes</a></li>
<li><a href="#org35b1dd8">1.2.2. Goal</a></li>
<li><a href="#org056f3eb">1.2.3. Results</a></li>
<li><a href="#org6750c68">1.2.1. Notes</a></li>
<li><a href="#org514680e">1.2.2. Goal</a></li>
<li><a href="#orga1029fa">1.2.3. Results</a></li>
</ul>
</li>
<li><a href="#org331b6c4">1.3. Measurement 3</a>
<li><a href="#org0266a1b">1.3. <span class="todo TODO">TODO</span> Measurement 3</a>
<ul>
<li><a href="#org8fff7d6">1.3.1. Notes</a></li>
<li><a href="#orgd23abf3">1.3.2. Goal</a></li>
<li><a href="#orgf4d1928">1.3.3. Results</a></li>
<li><a href="#org3a059d2">1.3.1. Notes</a></li>
<li><a href="#org8fec9e8">1.3.2. Goal</a></li>
<li><a href="#org638b982">1.3.3. Results</a></li>
</ul>
</li>
</ul>
</li>
<li><a href="#orgde6e409">2. Measurements of perturbations</a>
<ul>
<li><a href="#org126095c">2.1. Noise coming from the control loop of each stage</a>
<ul>
<li><a href="#orgab096ae">2.1.1. Notes</a></li>
<li><a href="#org47c2d2f">2.1.2. Goal</a></li>
<li><a href="#org102801f">2.1.3. Results</a></li>
</ul>
</li>
<li><a href="#org923bfac">2.2. Static guiding error estimation</a>
<ul>
<li><a href="#orga84faec">2.2.1. Notes</a></li>
<li><a href="#orgc8a8da3">2.2.2. Goal</a></li>
<li><a href="#org8326f68">2.2.3. Results</a></li>
</ul>
</li>
<li><a href="#org2a30598">2.3. Ground motion measurements</a>
<ul>
<li><a href="#orgc95c429">2.3.1. Notes</a></li>
<li><a href="#org6c05107">2.3.2. Goal</a></li>
<li><a href="#org66c202c">2.3.3. Results</a></li>
</ul>
</li>
<li><a href="#org87d61e5">2.4. Spindle Measurements</a>
<ul>
<li><a href="#org80d690f">2.4.1. Notes</a></li>
<li><a href="#orgc12a999">2.4.2. Goal</a></li>
<li><a href="#org7394e45">2.4.3. Results</a></li>
</ul>
</li>
</ul>
</li>
<li><a href="#org459eb97">3. Ressources</a></li>
<li><a href="#orge49573f">4. Other measurements</a></li>
<li><a href="#orge16cbdc">2. Measurements of perturbations</a></li>
<li><a href="#org7e1127d">3. Other</a></li>
</ul>
</div>
</div>
<div id="outline-container-orgedddafa" class="outline-2">
<h2 id="orgedddafa"><span class="section-number-2">1</span> Measurements of the dynamics of the station</h2>
<p>
This web-page gathers all the measurements done on the ID31 Micro Station.
</p>
<div id="outline-container-org3dd37ca" class="outline-2">
<h2 id="org3dd37ca"><span class="section-number-2">1</span> Measurements of the dynamics of the station</h2>
<div class="outline-text-2" id="text-1">
<ul class="org-ul">
<li><a href="dynamical-meas-granite/index.html">Dynamics from floor motion to marble motion</a></li>
</ul>
</div>
<div id="outline-container-orga36da1d" class="outline-3">
<h3 id="orga36da1d"><span class="section-number-3">1.1</span> Measurement 1</h3>
<div id="outline-container-orgc6a04a7" class="outline-3">
<h3 id="orgc6a04a7"><span class="section-number-3">1.1</span> Measurement 1</h3>
<div class="outline-text-3" id="text-1-1">
<p>
<a href="2017-11-17 - Marc/index.html">Link to the analysis</a>
</p>
</div>
<div id="outline-container-orge2e9aa5" class="outline-4">
<h4 id="orge2e9aa5"><span class="section-number-4">1.1.1</span> Notes</h4>
<div id="outline-container-org3d7d31e" class="outline-4">
<h4 id="org3d7d31e"><span class="section-number-4">1.1.1</span> Notes</h4>
<div class="outline-text-4" id="text-1-1-1">
<table border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
@ -369,8 +345,8 @@ Dynamics of the station is evaluated using instrumented hammer and accelerometer
</div>
</div>
<div id="outline-container-orgbf085fe" class="outline-4">
<h4 id="orgbf085fe"><span class="section-number-4">1.1.2</span> Goal</h4>
<div id="outline-container-org6f222a5" class="outline-4">
<h4 id="org6f222a5"><span class="section-number-4">1.1.2</span> Goal</h4>
<div class="outline-text-4" id="text-1-1-2">
<ul class="org-ul">
<li>Obtain a first estimation of resonance frequencies</li>
@ -378,28 +354,31 @@ Dynamics of the station is evaluated using instrumented hammer and accelerometer
</div>
</div>
<div id="outline-container-orgb55b74a" class="outline-4">
<h4 id="orgb55b74a"><span class="section-number-4">1.1.3</span> Results</h4>
<div id="outline-container-org66caa3c" class="outline-4">
<h4 id="org66caa3c"><span class="section-number-4">1.1.3</span> Results</h4>
<div class="outline-text-4" id="text-1-1-3">
<p>
Resonances have been identified at 45Hz and 75Hz.
However, the quality of the measurements are bad at low frequency.
New measurements should be done with Geophones.
</p>
<div class="important">
<ul class="org-ul">
<li>Resonances have been identified at 45Hz and 75Hz</li>
<li>However, the quality of the measurements are bad at low frequency</li>
<li>New measurements should be done with Geophones</li>
</ul>
</div>
</div>
</div>
</div>
<div id="outline-container-org4cbbced" class="outline-3">
<h3 id="org4cbbced"><span class="section-number-3">1.2</span> Measurement 2</h3>
<div id="outline-container-orga240707" class="outline-3">
<h3 id="orga240707"><span class="section-number-3">1.2</span> Measurement 2</h3>
<div class="outline-text-3" id="text-1-2">
<p>
<a href="2018-01-12 - Marc/index.html">Link to the analysis</a>
</p>
</div>
<div id="outline-container-org4f66738" class="outline-4">
<h4 id="org4f66738"><span class="section-number-4">1.2.1</span> Notes</h4>
<div id="outline-container-org6750c68" class="outline-4">
<h4 id="org6750c68"><span class="section-number-4">1.2.1</span> Notes</h4>
<div class="outline-text-4" id="text-1-2-1">
<table border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
@ -439,8 +418,8 @@ New measurements should be done with Geophones.
</div>
</div>
<div id="outline-container-org35b1dd8" class="outline-4">
<h4 id="org35b1dd8"><span class="section-number-4">1.2.2</span> Goal</h4>
<div id="outline-container-org514680e" class="outline-4">
<h4 id="org514680e"><span class="section-number-4">1.2.2</span> Goal</h4>
<div class="outline-text-4" id="text-1-2-2">
<p>
Obtain better coherence at low frequency.
@ -448,27 +427,30 @@ Obtain better coherence at low frequency.
</div>
</div>
<div id="outline-container-org056f3eb" class="outline-4">
<h4 id="org056f3eb"><span class="section-number-4">1.2.3</span> Results</h4>
<div id="outline-container-orga1029fa" class="outline-4">
<h4 id="orga1029fa"><span class="section-number-4">1.2.3</span> Results</h4>
<div class="outline-text-4" id="text-1-2-3">
<p>
Resonances at 42Hz, 70Hz and 125Hz have been identified.
The coherence is much better than when using accelerometers.
</p>
<div class="important">
<ul class="org-ul">
<li>Resonances at 42Hz, 70Hz and 125Hz have been identified</li>
<li>The coherence is much better than when using accelerometers</li>
</ul>
</div>
</div>
</div>
</div>
<div id="outline-container-org331b6c4" class="outline-3">
<h3 id="org331b6c4"><span class="section-number-3">1.3</span> Measurement 3</h3>
<div id="outline-container-org0266a1b" class="outline-3">
<h3 id="org0266a1b"><span class="section-number-3">1.3</span> <span class="todo TODO">TODO</span> Measurement 3</h3>
<div class="outline-text-3" id="text-1-3">
<p>
<a href="2018-10-12 - Marc/index.html">Link to the analysis</a>
</p>
</div>
<div id="outline-container-org8fff7d6" class="outline-4">
<h4 id="org8fff7d6"><span class="section-number-4">1.3.1</span> Notes</h4>
<div id="outline-container-org3a059d2" class="outline-4">
<h4 id="org3a059d2"><span class="section-number-4">1.3.1</span> Notes</h4>
<div class="outline-text-4" id="text-1-3-1">
<table border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
@ -503,8 +485,8 @@ The coherence is much better than when using accelerometers.
</div>
</div>
<div id="outline-container-orgd23abf3" class="outline-4">
<h4 id="orgd23abf3"><span class="section-number-4">1.3.2</span> Goal</h4>
<div id="outline-container-org8fec9e8" class="outline-4">
<h4 id="org8fec9e8"><span class="section-number-4">1.3.2</span> Goal</h4>
<div class="outline-text-4" id="text-1-3-2">
<p>
The station is now installed on the experimental hutch with a glued granite (final location).
@ -513,268 +495,56 @@ The station is identified again.
</div>
</div>
<div id="outline-container-orgf4d1928" class="outline-4">
<h4 id="orgf4d1928"><span class="section-number-4">1.3.3</span> Results</h4>
<div id="outline-container-org638b982" class="outline-4">
<h4 id="org638b982"><span class="section-number-4">1.3.3</span> Results</h4>
<div class="outline-text-4" id="text-1-3-3">
<div class="important">
<p>
</p>
</div>
</div>
</div>
</div>
</div>
<div id="outline-container-orgde6e409" class="outline-2">
<h2 id="orgde6e409"><span class="section-number-2">2</span> Measurements of perturbations</h2>
<div id="outline-container-orge16cbdc" class="outline-2">
<h2 id="orge16cbdc"><span class="section-number-2">2</span> Measurements of perturbations</h2>
<div class="outline-text-2" id="text-2">
</div>
<div id="outline-container-org126095c" class="outline-3">
<h3 id="org126095c"><span class="section-number-3">2.1</span> Noise coming from the control loop of each stage</h3>
<div class="outline-text-3" id="text-2-1">
<p>
<a href="2018-10-15 - Marc/index.html">Link to the analysis</a>
</p>
</div>
<div id="outline-container-orgab096ae" class="outline-4">
<h4 id="orgab096ae"><span class="section-number-4">2.1.1</span> Notes</h4>
<div class="outline-text-4" id="text-2-1-1">
<table border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<colgroup>
<col class="org-left" />
<col class="org-left" />
</colgroup>
<tbody>
<tr>
<td class="org-left"><b>Date</b></td>
<td class="org-left">2018-10-15</td>
</tr>
<tr>
<td class="org-left"><b>Sensors</b></td>
<td class="org-left">Geophones</td>
</tr>
<tr>
<td class="org-left"><b>Location</b></td>
<td class="org-left">Experimental Hutch</td>
</tr>
</tbody>
</table>
</div>
</div>
<div id="outline-container-org47c2d2f" class="outline-4">
<h4 id="org47c2d2f"><span class="section-number-4">2.1.2</span> Goal</h4>
<div class="outline-text-4" id="text-2-1-2">
<p>
The objective is to estimate how much perturbation is injected in the system by the control systems of each stages of the micro station.
</p>
<p>
Geophones are located on the structure.
Each stage is turned on and off.
The signals of the geophones are then compared when the stage is on and off.
</p>
</div>
</div>
<div id="outline-container-org102801f" class="outline-4">
<h4 id="org102801f"><span class="section-number-4">2.1.3</span> Results</h4>
<div class="outline-text-4" id="text-2-1-3">
<ul class="org-ul">
<li>The translation stage seems to have effect on the tilt stage at 20Hz.</li>
<li>The Tilt stage and the Hexapod control systems have no effect on the motion of the other stages.</li>
<li>The spindle stage control system seems to induce a motion of the Hexapod on the Z direction around 20Hz.</li>
<li><a href="disturbance-sr-rz/index.html">Measurement of the vibrations induced by the rotation of the slip-ring and spindle</a></li>
<li><a href="disturbance-ty-sr/index.html">Measurement of the vibrations induced by the simultaneous rotation of the slip-ring and scan of the translation stage</a></li>
<li><a href="disturbance-measurement/index.html">Disturbance Measurement - Spindle</a> TODO</li>
<li><a href="slip-ring-electrical-noise/index.html">Measurement of the electrical noise induced by the slip-ring</a></li>
<li><a href="ground-motion/index.html">Ground motion measurements</a></li>
<li><a href="static-to-dynamic/index.html">Static guiding errors - Ty</a></li>
<li><a href="static-spindle/index.html">Static guiding errors - Spindle</a></li>
<li><a href="disturbance-control-system/index.html">Disturbance induced by the control system of each stage</a></li>
<li><a href="disturbance-ty/index.html">Vibrations due to Ty scans</a></li>
<li><a href="2018-10-15 - Marc/index.html">Perturbation due to the control loop of each stage</a></li>
</ul>
</div>
</div>
</div>
<div id="outline-container-org923bfac" class="outline-3">
<h3 id="org923bfac"><span class="section-number-3">2.2</span> Static guiding error estimation</h3>
<div class="outline-text-3" id="text-2-2">
<p>
<a href="Static/index.html">Link to the analysis</a>
</p>
</div>
<div id="outline-container-orga84faec" class="outline-4">
<h4 id="orga84faec"><span class="section-number-4">2.2.1</span> Notes</h4>
<div class="outline-text-4" id="text-2-2-1">
<table border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<colgroup>
<col class="org-left" />
<col class="org-left" />
</colgroup>
<tbody>
<tr>
<td class="org-left"><b>Date</b></td>
<td class="org-left">2019-01-09</td>
</tr>
<tr>
<td class="org-left"><b>Sensors</b></td>
<td class="org-left">Interferometer</td>
</tr>
<tr>
<td class="org-left"><b>Location</b></td>
<td class="org-left">Experimental Hutch</td>
</tr>
</tbody>
</table>
<p>
Each stage is statically moved of all its stroke on after the other.
A metrology element is located at the sample position and its motion is measured in translations and rotations.
For each small displacement, the stage is stopped and the motion of the sample is recorded and averaged.
</p>
</div>
</div>
<div id="outline-container-orgc8a8da3" class="outline-4">
<h4 id="orgc8a8da3"><span class="section-number-4">2.2.2</span> Goal</h4>
<div class="outline-text-4" id="text-2-2-2">
<p>
The goal is to estimate the guiding errors of each stage.
</p>
</div>
</div>
<div id="outline-container-org8326f68" class="outline-4">
<h4 id="org8326f68"><span class="section-number-4">2.2.3</span> Results</h4>
</div>
</div>
<div id="outline-container-org2a30598" class="outline-3">
<h3 id="org2a30598"><span class="section-number-3">2.3</span> Ground motion measurements</h3>
<div class="outline-text-3" id="text-2-3">
<p>
<a href="Ground Motion/index.html">Link to the analysis</a>
</p>
</div>
<div id="outline-container-orgc95c429" class="outline-4">
<h4 id="orgc95c429"><span class="section-number-4">2.3.1</span> Notes</h4>
<div class="outline-text-4" id="text-2-3-1">
<table border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<colgroup>
<col class="org-left" />
<col class="org-left" />
</colgroup>
<tbody>
<tr>
<td class="org-left"><b>Date</b></td>
<td class="org-left">2014-10</td>
</tr>
<tr>
<td class="org-left"><b>Sensors</b></td>
<td class="org-left">Geophone</td>
</tr>
<tr>
<td class="org-left"><b>Location</b></td>
<td class="org-left">ID31 Floor</td>
</tr>
</tbody>
</table>
</div>
</div>
<div id="outline-container-org6c05107" class="outline-4">
<h4 id="org6c05107"><span class="section-number-4">2.3.2</span> Goal</h4>
<div class="outline-text-4" id="text-2-3-2">
<p>
The objective is to obtain the Power Spectral Density of the ground motion at the ID31 floor.
</p>
</div>
</div>
<div id="outline-container-org66c202c" class="outline-4">
<h4 id="org66c202c"><span class="section-number-4">2.3.3</span> Results</h4>
</div>
</div>
<div id="outline-container-org87d61e5" class="outline-3">
<h3 id="org87d61e5"><span class="section-number-3">2.4</span> Spindle Measurements</h3>
<div class="outline-text-3" id="text-2-4">
<p>
<a href="Spindle/index.html">Link to the analysis</a>
</p>
</div>
<div id="outline-container-org80d690f" class="outline-4">
<h4 id="org80d690f"><span class="section-number-4">2.4.1</span> Notes</h4>
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<col class="org-right" />
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<tr>
<td class="org-left"><b>Date</b></td>
<td class="org-right">2017-04-25</td>
</tr>
<tr>
<td class="org-left"><b>Location</b></td>
<td class="org-right">PEL Lab</td>
</tr>
</tbody>
</table>
</div>
</div>
<div id="outline-container-orgc12a999" class="outline-4">
<h4 id="orgc12a999"><span class="section-number-4">2.4.2</span> Goal</h4>
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<p>
The goal is to estimate all the error motions induced by the Spindle
</p>
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<div id="outline-container-org7394e45" class="outline-4">
<h4 id="org7394e45"><span class="section-number-4">2.4.3</span> Results</h4>
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<h2 id="org459eb97"><span class="section-number-2">3</span> Ressources</h2>
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<h2 id="org7e1127d"><span class="section-number-2">3</span> Other</h2>
<div class="outline-text-2" id="text-3">
<p>
<a href="actuators-sensors/index.html">Actuators and Sensors</a>
</p>
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<div id="outline-container-orge49573f" class="outline-2">
<h2 id="orge49573f"><span class="section-number-2">4</span> Other measurements</h2>
<div class="outline-text-2" id="text-4">
<ul class="org-ul">
<li><a href="huddle-test-geophones/index.html">Huddle Test - Geophones</a></li>
<li><a href="disturbance-measurement/index.html">Disturbance Measurement</a></li>
<li><a href="slip-ring-test/index.html">Slip Ring - Noise measurement</a></li>
<li><a href="instrumentation/index.html">Measurement on the instrumentation</a></li>
<li><a href="slip-ring-electrical-noise/index.html">Slip Ring - Noise measurement</a></li>
<li><a href="static-measurements/index.html">Control System Measurement</a></li>
<li><a href="actuators-sensors/index.html">Actuators and Sensors</a></li>
<li><a href="equipment/equipment.html">Equipment used for the measurements</a></li>
<li><a href="src/index.html">Matlab functions used for the data analysis</a></li>
</ul>
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<div id="postamble" class="status">
<p class="author">Author: Thomas Dehaeze</p>
<p class="date">Created: 2019-05-10 ven. 09:12</p>
<p class="date">Created: 2019-05-14 mar. 23:02</p>
<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
</div>
</body>

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@ -75,71 +75,22 @@ The station is identified again.
#+end_important
* Measurements of perturbations
- [[file:slip-ring-spindle-vibrations/index.org][Measurement of the vibrations induced by the rotation of the slip-ring and spindle]]
- [[file:disturbance-sr-rz/index.org][Measurement of the vibrations induced by the rotation of the slip-ring and spindle]]
- [[file:disturbance-ty-sr/index.org][Measurement of the vibrations induced by the simultaneous rotation of the slip-ring and scan of the translation stage]]
- [[file:disturbance-measurement/index.org][Disturbance Measurement - Spindle]] TODO
- [[file:slip-ring-electrical-noise/index.org][Measurement of the electrical noise induced by the slip-ring]]
- [[file:ground-motion/index.org][Ground motion measurements]]
- [[file:static-to-dynamic/index.org][Static guiding errors]]
- [[file:static-to-dynamic/index.org][Static guiding errors - Ty]]
- [[file:static-spindle/index.org][Static guiding errors - Spindle]]
- [[file:disturbance-control-system/index.org][Disturbance induced by the control system of each stage]]
- [[file:disturbance-ty/index.org][Vibrations due to Ty scans]]
- [[file:2018-10-15%20-%20Marc/index.org][Perturbation due to the control loop of each stage]]
** Noise coming from the control loop of each stage
[[file:2018-10-15%20-%20Marc/index.org][Link to the analysis]]
*** Notes
| *Date* | 2018-10-15 |
| *Sensors* | Geophones |
| *Location* | Experimental Hutch |
*** Goal
The objective is to estimate how much perturbation is injected in the system by the control systems of each stages of the micro station.
Geophones are located on the structure.
Each stage is turned on and off.
The signals of the geophones are then compared when the stage is on and off.
*** Results
- The translation stage seems to have effect on the tilt stage at 20Hz.
- The Tilt stage and the Hexapod control systems have no effect on the motion of the other stages.
- The spindle stage control system seems to induce a motion of the Hexapod on the Z direction around 20Hz.
** Static guiding error estimation
[[file:Static/index.org][Link to the analysis]]
*** Notes
| *Date* | 2019-01-09 |
| *Sensors* | Interferometer |
| *Location* | Experimental Hutch |
Each stage is statically moved of all its stroke on after the other.
A metrology element is located at the sample position and its motion is measured in translations and rotations.
For each small displacement, the stage is stopped and the motion of the sample is recorded and averaged.
*** Goal
The goal is to estimate the guiding errors of each stage.
*** Results
** Spindle Measurements
[[file:Spindle/index.org][Link to the analysis]]
*** Notes
| *Date* | 2017-04-25 |
| *Location* | PEL Lab |
*** Goal
The goal is to estimate all the error motions induced by the Spindle
*** Results
* Other measurements - Instrumentation
* Other
- [[file:huddle-test-geophones/index.org][Huddle Test - Geophones]]
- [[file:instrumentation/index.org][Measurement on the instrumentation]]
- [[file:disturbance-measurement/index.org][Disturbance Measurement]]
- [[file:slip-ring-test/index.org][Slip Ring - Noise measurement]]
- [[file:slip-ring-electrical-noise/index.org][Slip Ring - Noise measurement]]
- [[file:static-measurements/index.org][Control System Measurement]]
* Ressources
- [[file:actuators-sensors/index.org][Actuators and Sensors]]
- [[file:equipment/equipment.org][Equipment used for the measurements]]
- [[file:src/index.org][Matlab functions used for the data analysis]]

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@ -36,6 +36,11 @@ The report made by the PEL is accessible [[file:documents/Spindle_report_test.pd
#+caption: Measurement setup at the PEL lab
[[file:./img/setup_spindle.png]]
| *Date* | 2017-04-25 |
| *Location* | PEL Lab |
The goal is to estimate all the error motions induced by the Spindle
* Data Processing
:PROPERTIES:
:header-args:matlab+: :tangle matlab/spindle_data_processing.m

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@ -33,6 +33,17 @@ The goal here is to analyze the static measurement on the station (guiding error
The report by H-P van der Kleij on the static measurement of the ID31 station is available [[file:data/ID31_report_static_meas.pdf][here]].
| *Date* | 2019-01-09 |
| *Sensors* | Interferometer |
| *Location* | Experimental Hutch |
Each stage is statically moved of all its stroke on after the other.
A metrology element is located at the sample position and its motion is measured in translations and rotations.
For each small displacement, the stage is stopped and the motion of the sample is recorded and averaged.
The goal is to estimate the guiding errors of each stage.
* Static measurement of the translation stage
:PROPERTIES:
:header-args:matlab+: :tangle matlab/static_ty.m