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<title>Measurements</title>
@@ -276,43 +276,43 @@ for the JavaScript code in this tag.
<h2>Table of Contents</h2>
<div id="text-table-of-contents">
<ul>
<li><a href="#org5efded7">1. Effect of the Slip-Ring on the signal</a>
<li><a href="#org1ec9040">1. Effect of the Slip-Ring on the signal</a>
<ul>
<li><a href="#org05d3b24">1.1. Experimental Setup</a></li>
<li><a href="#org77b1246">1.2. Load data</a></li>
<li><a href="#orgd60d3c7">1.3. Analysis - Time Domain</a></li>
<li><a href="#orgc8caaf3">1.4. Analysis - Frequency Domain</a></li>
<li><a href="#org131b000">1.5. Conclusion</a></li>
<li><a href="#orga86437c">1.1. Experimental Setup</a></li>
<li><a href="#orgd5025b8">1.2. Load data</a></li>
<li><a href="#org733b9d4">1.3. Analysis - Time Domain</a></li>
<li><a href="#org561e53f">1.4. Analysis - Frequency Domain</a></li>
<li><a href="#orge6dd817">1.5. Conclusion</a></li>
</ul>
</li>
<li><a href="#org4762833">2. Effect of all the control systems on the Sample vibrations</a>
<li><a href="#orgb89af3a">2. Effect of all the control systems on the Sample vibrations</a>
<ul>
<li><a href="#org085a657">2.1. Experimental Setup</a></li>
<li><a href="#org0368a1a">2.2. Load data</a></li>
<li><a href="#org465131e">2.3. Analysis - Time Domain</a></li>
<li><a href="#org41c1a51">2.4. Analysis - Frequency Domain</a>
<li><a href="#org0b19b98">2.1. Experimental Setup</a></li>
<li><a href="#org3fe03db">2.2. Load data</a></li>
<li><a href="#org3fdec7a">2.3. Analysis - Time Domain</a></li>
<li><a href="#org6b5f0ed">2.4. Analysis - Frequency Domain</a>
<ul>
<li><a href="#org5416fa1">2.4.1. Vibrations at the sample location</a></li>
<li><a href="#org64cfb89">2.4.2. Vibrations on the marble</a></li>
<li><a href="#orgfda4e64">2.4.1. Vibrations at the sample location</a></li>
<li><a href="#orgc2f810b">2.4.2. Vibrations on the marble</a></li>
</ul>
</li>
<li><a href="#org42553b0">2.5. Effect of the control system on the transmissibility from ground to sample</a></li>
<li><a href="#org9ad50de">2.6. Conclusion</a></li>
<li><a href="#org43b187d">2.5. Effect of the control system on the transmissibility from ground to sample</a></li>
<li><a href="#org8ffc99d">2.6. Conclusion</a></li>
</ul>
</li>
<li><a href="#org089e6c4">3. Transfer function from one stage to the other</a>
<li><a href="#orge358e9f">3. Transfer function from one stage to the other</a>
<ul>
<li><a href="#org5af1ad1">3.1. Experimental Setup</a>
<li><a href="#org8671c9c">3.1. Experimental Setup</a>
<ul>
<li><a href="#org266aa09">3.1.1. From Marble to Ty - <code>mat/meas_010.mat</code></a></li>
<li><a href="#org51f3cb6">3.1.2. From Marble to Ry - <code>mat/meas_011.mat</code></a></li>
<li><a href="#orgd9c5a6f">3.1.3. From Ty to Ry - <code>mat/meas_012.mat</code></a></li>
<li><a href="#orgb8620d5">3.1.1. From Marble to Ty - <code>mat/meas_010.mat</code></a></li>
<li><a href="#org3ca3b63">3.1.2. From Marble to Ry - <code>mat/meas_011.mat</code></a></li>
<li><a href="#orgff3cde2">3.1.3. From Ty to Ry - <code>mat/meas_012.mat</code></a></li>
</ul>
</li>
<li><a href="#org3523b58">3.2. Load data</a></li>
<li><a href="#org2c086d0">3.3. Analysis - Time Domain</a></li>
<li><a href="#org63bd941">3.4. Analysis - Frequency Domain</a></li>
<li><a href="#orgc82b7b0">3.5. Conclusion</a></li>
<li><a href="#org185b0f5">3.2. Load data</a></li>
<li><a href="#org1dfb0b9">3.3. Analysis - Time Domain</a></li>
<li><a href="#org388dc28">3.4. Analysis - Frequency Domain</a></li>
<li><a href="#org26a82a2">3.5. Conclusion</a></li>
</ul>
</li>
</ul>
@@ -328,23 +328,23 @@ 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-org5efded7" class="outline-2">
<h2 id="org5efded7"><span class="section-number-2">1</span> Effect of the Slip-Ring on the signal</h2>
<div id="outline-container-org1ec9040" class="outline-2">
<h2 id="org1ec9040"><span class="section-number-2">1</span> Effect of the Slip-Ring on the signal</h2>
<div class="outline-text-2" id="text-1">
</div>
<div id="outline-container-org05d3b24" class="outline-3">
<h3 id="org05d3b24"><span class="section-number-3">1.1</span> Experimental Setup</h3>
<div id="outline-container-orga86437c" class="outline-3">
<h3 id="orga86437c"><span class="section-number-3">1.1</span> Experimental Setup</h3>
<div class="outline-text-3" id="text-1-1">
<p>
Two measurements are made with the control systems of all the stages turned OFF.
</p>
<p>
One geophone is located on the marble while the other is located at the sample location (figure <a href="#orgd14e0b4">1</a>).
One geophone is located on the marble while the other is located at the sample location (figure <a href="#org5ef91e0">1</a>).
</p>
<div id="orgd14e0b4" class="figure">
<div id="org5ef91e0" class="figure">
<p><img src="./img/IMG_20190430_112615.jpg" alt="IMG_20190430_112615.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 1: </span>Experimental Setup</p>
@@ -417,8 +417,8 @@ Each of the measurement <code>mat</code> file contains one <code>data</code> arr
</div>
</div>
<div id="outline-container-org77b1246" class="outline-3">
<h3 id="org77b1246"><span class="section-number-3">1.2</span> Load data</h3>
<div id="outline-container-orgd5025b8" class="outline-3">
<h3 id="orgd5025b8"><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.
@@ -432,11 +432,11 @@ d9 = load<span class="org-rainbow-delimiters-depth-1">(</span>'mat<span class="o
</div>
</div>
<div id="outline-container-orgd60d3c7" class="outline-3">
<h3 id="orgd60d3c7"><span class="section-number-3">1.3</span> Analysis - Time Domain</h3>
<div id="outline-container-org733b9d4" class="outline-3">
<h3 id="org733b9d4"><span class="section-number-3">1.3</span> Analysis - Time Domain</h3>
<div class="outline-text-3" id="text-1-3">
<p>
First, we compare the time domain signals for the two experiments (figure <a href="#org6ba0e72">2</a>).
First, we compare the time domain signals for the two experiments (figure <a href="#orgc28e2b2">2</a>).
</p>
@@ -453,7 +453,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
<div id="org6ba0e72" class="figure">
<div id="orgc28e2b2" class="figure">
<p><img src="figs/slipring_time.png" alt="slipring_time.png" />
</p>
<p><span class="figure-number">Figure 2: </span>Effect of the Slip-Ring on the measured signal - Time domain</p>
@@ -461,11 +461,11 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
</div>
<div id="outline-container-orgc8caaf3" class="outline-3">
<h3 id="orgc8caaf3"><span class="section-number-3">1.4</span> Analysis - Frequency Domain</h3>
<div id="outline-container-org561e53f" class="outline-3">
<h3 id="org561e53f"><span class="section-number-3">1.4</span> Analysis - Frequency Domain</h3>
<div class="outline-text-3" id="text-1-4">
<p>
We then compute the Power Spectral Density of the two signals and we compare them (figure <a href="#org3e50fec">3</a>).
We then compute the Power Spectral Density of the two signals and we compare them (figure <a href="#orgcc1d3ae">3</a>).
</p>
<div class="org-src-container">
<pre class="src src-matlab">dt = d8<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> d8<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>;
@@ -496,7 +496,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
<div id="org3e50fec" class="figure">
<div id="orgcc1d3ae" class="figure">
<p><img src="figs/slipring_asd.png" alt="slipring_asd.png" />
</p>
<p><span class="figure-number">Figure 3: </span>Effect of the Slip-Ring on the measured signal - Frequency domain</p>
@@ -504,8 +504,8 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
</div>
<div id="outline-container-org131b000" class="outline-3">
<h3 id="org131b000"><span class="section-number-3">1.5</span> Conclusion</h3>
<div id="outline-container-orge6dd817" class="outline-3">
<h3 id="orge6dd817"><span class="section-number-3">1.5</span> Conclusion</h3>
<div class="outline-text-3" id="text-1-5">
<div class="important">
<ul class="org-ul">
@@ -529,12 +529,12 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
</div>
<div id="outline-container-org4762833" class="outline-2">
<h2 id="org4762833"><span class="section-number-2">2</span> Effect of all the control systems on the Sample vibrations</h2>
<div id="outline-container-orgb89af3a" class="outline-2">
<h2 id="orgb89af3a"><span class="section-number-2">2</span> Effect of all the control systems on the Sample vibrations</h2>
<div class="outline-text-2" id="text-2">
</div>
<div id="outline-container-org085a657" class="outline-3">
<h3 id="org085a657"><span class="section-number-3">2.1</span> Experimental Setup</h3>
<div id="outline-container-org0b19b98" class="outline-3">
<h3 id="org0b19b98"><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:
@@ -553,7 +553,7 @@ First, all the control systems are turned ON, then, they are turned one by one.
Each measurement are done during 50s.
</p>
<table id="org6235ad0" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<table id="org0b1da98" 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>
@@ -673,8 +673,8 @@ Each of the <code>mat</code> file contains one array <code>data</code> with 3 co
</div>
</div>
<div id="outline-container-org0368a1a" class="outline-3">
<h3 id="org0368a1a"><span class="section-number-3">2.2</span> Load data</h3>
<div id="outline-container-org3fe03db" class="outline-3">
<h3 id="org3fe03db"><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.
@@ -691,15 +691,15 @@ d8 = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-s
</div>
</div>
<div id="outline-container-org465131e" class="outline-3">
<h3 id="org465131e"><span class="section-number-3">2.3</span> Analysis - Time Domain</h3>
<div id="outline-container-org3fdec7a" class="outline-3">
<h3 id="org3fdec7a"><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="#org335e162">4</a>)</li>
<li>comparison for the geophone on the granite (figure <a href="#orgbe9208d">5</a>)</li>
<li>comparison for the geophone at the sample location (figure <a href="#org96fa0ed">4</a>)</li>
<li>comparison for the geophone on the granite (figure <a href="#org9f51b4a">5</a>)</li>
</ul>
<div class="org-src-container">
@@ -719,7 +719,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
<div id="org335e162" class="figure">
<div id="org96fa0ed" class="figure">
<p><img src="figs/time_domain_sample.png" alt="time_domain_sample.png" />
</p>
<p><span class="figure-number">Figure 4: </span>Comparison of the time domain data when turning off the control system of the stages - Geophone at the sample location</p>
@@ -743,7 +743,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
<div id="orgbe9208d" class="figure">
<div id="org9f51b4a" class="figure">
<p><img src="figs/time_domain_marble.png" alt="time_domain_marble.png" />
</p>
<p><span class="figure-number">Figure 5: </span>Comparison of the time domain data when turning off the control system of the stages - Geophone on the marble</p>
@@ -751,8 +751,8 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
</div>
<div id="outline-container-org41c1a51" class="outline-3">
<h3 id="org41c1a51"><span class="section-number-3">2.4</span> Analysis - Frequency Domain</h3>
<div id="outline-container-org6b5f0ed" class="outline-3">
<h3 id="org6b5f0ed"><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 = 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>;
@@ -763,8 +763,8 @@ win = hanning<span class="org-rainbow-delimiters-depth-1">(</span>ceil<span clas
</div>
</div>
<div id="outline-container-org5416fa1" class="outline-4">
<h4 id="org5416fa1"><span class="section-number-4">2.4.1</span> Vibrations at the sample location</h4>
<div id="outline-container-orgfda4e64" class="outline-4">
<h4 id="orgfda4e64"><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.
@@ -780,7 +780,7 @@ 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="#org4625dfd">6</a> and <a href="#org7ea2a57">7</a>).
And we compare all the signals (figures <a href="#org89b13c6">6</a> and <a href="#org308e055">7</a>).
</p>
<div class="org-src-container">
<pre class="src src-matlab"><span class="org-type">figure</span>;
@@ -801,7 +801,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
<div id="org4625dfd" class="figure">
<div id="org89b13c6" class="figure">
<p><img src="figs/psd_sample_comp.png" alt="psd_sample_comp.png" />
</p>
<p><span class="figure-number">Figure 6: </span>PSD of the signal coming from the top geophone</p>
@@ -809,7 +809,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
<div id="org7ea2a57" class="figure">
<div id="org308e055" 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 7: </span>PSD of the signal coming from the top geophone (zoom at high frequencies)</p>
@@ -817,8 +817,8 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
</div>
<div id="outline-container-org64cfb89" class="outline-4">
<h4 id="org64cfb89"><span class="section-number-4">2.4.2</span> Vibrations on the marble</h4>
<div id="outline-container-orgc2f810b" class="outline-4">
<h4 id="orgc2f810b"><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.
@@ -834,7 +834,7 @@ Now we plot the same curves for the geophone located on the marble.
</div>
<p>
And we compare the ASD (figures <a href="#orge9b59a5">8</a> and <a href="#org8caf60f">9</a>)
And we compare the ASD (figures <a href="#orgbe8f7be">8</a> and <a href="#orgd5c44ba">9</a>)
</p>
<div class="org-src-container">
<pre class="src src-matlab"><span class="org-type">figure</span>;
@@ -855,7 +855,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
<div id="orge9b59a5" class="figure">
<div id="orgbe8f7be" class="figure">
<p><img src="figs/psd_marble_comp.png" alt="psd_marble_comp.png" />
</p>
<p><span class="figure-number">Figure 8: </span>PSD of the signal coming from the top geophone</p>
@@ -863,7 +863,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
<div id="org8caf60f" class="figure">
<div id="orgd5c44ba" 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 9: </span>PSD of the signal coming from the top geophone (zoom at high frequencies)</p>
@@ -871,11 +871,11 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
</div>
</div>
<div id="outline-container-org42553b0" class="outline-3">
<h3 id="org42553b0"><span class="section-number-3">2.5</span> Effect of the control system on the transmissibility from ground to sample</h3>
<div id="outline-container-org43b187d" class="outline-3">
<h3 id="org43b187d"><span class="section-number-3">2.5</span> Effect of the control system on the transmissibility from ground to sample</h3>
<div class="outline-text-3" id="text-2-5">
<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="#orgbeaac3f">10</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="#org5664b0a">10</a>).
</p>
<div class="org-src-container">
@@ -935,15 +935,15 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
<div id="orgbeaac3f" class="figure">
<div id="org5664b0a" class="figure">
<p><img src="figs/trans_comp.png" alt="trans_comp.png" />
</p>
<p><span class="figure-number">Figure 10: </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-org9ad50de" class="outline-3">
<h3 id="org9ad50de"><span class="section-number-3">2.6</span> Conclusion</h3>
<div id="outline-container-org8ffc99d" class="outline-3">
<h3 id="org8ffc99d"><span class="section-number-3">2.6</span> Conclusion</h3>
<div class="outline-text-3" id="text-2-6">
<div class="important">
<ul class="org-ul">
@@ -962,12 +962,12 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
</div>
<div id="outline-container-org089e6c4" class="outline-2">
<h2 id="org089e6c4"><span class="section-number-2">3</span> Transfer function from one stage to the other</h2>
<div id="outline-container-orge358e9f" class="outline-2">
<h2 id="orge358e9f"><span class="section-number-2">3</span> Transfer function from one stage to the other</h2>
<div class="outline-text-2" id="text-3">
</div>
<div id="outline-container-org5af1ad1" class="outline-3">
<h3 id="org5af1ad1"><span class="section-number-3">3.1</span> Experimental Setup</h3>
<div id="outline-container-org8671c9c" class="outline-3">
<h3 id="org8671c9c"><span class="section-number-3">3.1</span> Experimental Setup</h3>
<div class="outline-text-3" id="text-3-1">
<p>
For all the measurements in this section:
@@ -978,11 +978,11 @@ For all the measurements in this section:
</ul>
</div>
<div id="outline-container-org266aa09" class="outline-4">
<h4 id="org266aa09"><span class="section-number-4">3.1.1</span> From Marble to Ty - <code>mat/meas_010.mat</code></h4>
<div id="outline-container-orgb8620d5" class="outline-4">
<h4 id="orgb8620d5"><span class="section-number-4">3.1.1</span> From Marble to Ty - <code>mat/meas_010.mat</code></h4>
<div class="outline-text-4" id="text-3-1-1">
<p>
One geophone is on the marble, one is on the Ty stage (see figures <a href="#org0f2eb79">11</a>, <a href="#orgcdf6183">12</a> and <a href="#orga6a9a3a">13</a>).
One geophone is on the marble, one is on the Ty stage (see figures <a href="#org6500e1d">11</a>, <a href="#org3ecc8bf">12</a> and <a href="#org9e84f58">13</a>).
</p>
<p>
@@ -1021,21 +1021,21 @@ The <code>data</code> array contains the following columns:
</table>
<div id="org0f2eb79" class="figure">
<div id="org6500e1d" class="figure">
<p><img src="./img/IMG_20190430_155330.jpg" alt="IMG_20190430_155330.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 11: </span>Setup with one geophone on the marble and one on top of the translation stage</p>
</div>
<div id="orgcdf6183" class="figure">
<div id="org3ecc8bf" class="figure">
<p><img src="./img/IMG_20190430_155335.jpg" alt="IMG_20190430_155335.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 12: </span>Setup with one geophone on the marble and one on top of the translation stage - Close up view</p>
</div>
<div id="orga6a9a3a" class="figure">
<div id="org9e84f58" class="figure">
<p><img src="./img/IMG_20190430_155342.jpg" alt="IMG_20190430_155342.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 13: </span>Setup with one geophone on the marble and one on top of the translation stage - Top view</p>
@@ -1043,11 +1043,11 @@ The <code>data</code> array contains the following columns:
</div>
</div>
<div id="outline-container-org51f3cb6" class="outline-4">
<h4 id="org51f3cb6"><span class="section-number-4">3.1.2</span> From Marble to Ry - <code>mat/meas_011.mat</code></h4>
<div id="outline-container-org3ca3b63" class="outline-4">
<h4 id="org3ca3b63"><span class="section-number-4">3.1.2</span> From Marble to Ry - <code>mat/meas_011.mat</code></h4>
<div class="outline-text-4" id="text-3-1-2">
<p>
One geophone is on the marble, one is on the Ry stage (see figure <a href="#org7d8f6dd">14</a>)
One geophone is on the marble, one is on the Ry stage (see figure <a href="#orgb45486f">14</a>)
</p>
<p>
@@ -1086,7 +1086,7 @@ The <code>data</code> array contains the following columns:
</table>
<div id="org7d8f6dd" class="figure">
<div id="orgb45486f" class="figure">
<p><img src="./img/IMG_20190430_163919.jpg" alt="IMG_20190430_163919.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 14: </span>Setup with one geophone on the marble and one on top of the Tilt Stage</p>
@@ -1094,11 +1094,11 @@ The <code>data</code> array contains the following columns:
</div>
</div>
<div id="outline-container-orgd9c5a6f" class="outline-4">
<h4 id="orgd9c5a6f"><span class="section-number-4">3.1.3</span> From Ty to Ry - <code>mat/meas_012.mat</code></h4>
<div id="outline-container-orgff3cde2" class="outline-4">
<h4 id="orgff3cde2"><span class="section-number-4">3.1.3</span> From Ty to Ry - <code>mat/meas_012.mat</code></h4>
<div class="outline-text-4" id="text-3-1-3">
<p>
One geophone is on the Ty stage, one is on the Ry stage (see figures <a href="#orgba2d3e3">15</a>, <a href="#orge407959">16</a> and <a href="#org6526dff">17</a>)
One geophone is on the Ty stage, one is on the Ry stage (see figures <a href="#orgf7603bb">15</a>, <a href="#orgea56cfb">16</a> and <a href="#orga7b7318">17</a>)
One geophone on the Ty stage, one geophone on the Ry stage.
</p>
@@ -1138,21 +1138,21 @@ The <code>data</code> array contains the following columns:
</table>
<div id="orgba2d3e3" class="figure">
<div id="orgf7603bb" class="figure">
<p><img src="./img/IMG_20190430_170405.jpg" alt="IMG_20190430_170405.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 15: </span>Setup with one geophone on the translation stage and one on top of the Tilt Stage</p>
</div>
<div id="orge407959" class="figure">
<div id="orgea56cfb" class="figure">
<p><img src="./img/IMG_20190430_170418.jpg" alt="IMG_20190430_170418.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 16: </span>Setup with one geophone on the translation stage and one on top of the Tilt Stage - Top view</p>
</div>
<div id="org6526dff" class="figure">
<div id="orga7b7318" class="figure">
<p><img src="./img/IMG_20190430_170425.jpg" alt="IMG_20190430_170425.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 17: </span>Setup with one geophone on the translation stage and one on top of the Tilt Stage - Close up view</p>
@@ -1161,8 +1161,8 @@ The <code>data</code> array contains the following columns:
</div>
</div>
<div id="outline-container-org3523b58" class="outline-3">
<h3 id="org3523b58"><span class="section-number-3">3.2</span> Load data</h3>
<div id="outline-container-org185b0f5" class="outline-3">
<h3 id="org185b0f5"><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.
@@ -1176,8 +1176,8 @@ ty_ry = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="or
</div>
</div>
<div id="outline-container-org2c086d0" class="outline-3">
<h3 id="org2c086d0"><span class="section-number-3">3.3</span> Analysis - Time Domain</h3>
<div id="outline-container-org1dfb0b9" class="outline-3">
<h3 id="org1dfb0b9"><span class="section-number-3">3.3</span> Analysis - Time Domain</h3>
<div class="outline-text-3" id="text-3-3">
<p>
First, we can look at the time domain data.
@@ -1196,7 +1196,7 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
<div id="org28c5ecf" class="figure">
<div id="org091d427" class="figure">
<p><img src="figs/time_domain_m_ty.png" alt="time_domain_m_ty.png" />
</p>
<p><span class="figure-number">Figure 18: </span>Time domain - Marble and translation stage</p>
@@ -1216,7 +1216,7 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
<div id="orgc219487" class="figure">
<div id="org64705f0" class="figure">
<p><img src="figs/time_domain_m_ry.png" alt="time_domain_m_ry.png" />
</p>
<p><span class="figure-number">Figure 19: </span>Time domain - Marble and tilt stage</p>
@@ -1235,7 +1235,7 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
<div id="org0dbd78b" class="figure">
<div id="orga9c5a81" class="figure">
<p><img src="figs/time_domain_ty_ry.png" alt="time_domain_ty_ry.png" />
</p>
<p><span class="figure-number">Figure 20: </span>Time domain - Translation stage and tilt stage</p>
@@ -1243,8 +1243,8 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
</div>
<div id="outline-container-org63bd941" class="outline-3">
<h3 id="org63bd941"><span class="section-number-3">3.4</span> Analysis - Frequency Domain</h3>
<div id="outline-container-org388dc28" class="outline-3">
<h3 id="org388dc28"><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 = 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>;
@@ -1255,7 +1255,7 @@ 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="#orgcd25676">21</a>). We also plot their coherence (figure <a href="#org0202f2c">22</a>).
First, we compute the transfer function estimate between the two geophones for the 3 experiments (figure <a href="#orgb44305f">21</a>). We also plot their coherence (figure <a href="#orgf8b4679">22</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>;
@@ -1294,7 +1294,7 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
<div id="orgcd25676" class="figure">
<div id="orgb44305f" class="figure">
<p><img src="figs/compare_tf_geophones.png" alt="compare_tf_geophones.png" />
</p>
<p><span class="figure-number">Figure 21: </span>Transfer function from the first geophone to the second geophone for the three experiments</p>
@@ -1309,7 +1309,7 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
<div id="org0202f2c" class="figure">
<div id="orgf8b4679" class="figure">
<p><img src="figs/coherence_two_geophones.png" alt="coherence_two_geophones.png" />
</p>
<p><span class="figure-number">Figure 22: </span>Coherence between the two geophones for the three experiments</p>
@@ -1317,14 +1317,14 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
</div>
<div id="outline-container-orgc82b7b0" class="outline-3">
<h3 id="orgc82b7b0"><span class="section-number-3">3.5</span> Conclusion</h3>
<div id="outline-container-org26a82a2" class="outline-3">
<h3 id="org26a82a2"><span class="section-number-3">3.5</span> Conclusion</h3>
</div>
</div>
</div>
<div id="postamble" class="status">
<p class="author">Author: Thomas Dehaeze</p>
<p class="date">Created: 2019-05-02 jeu. 14:06</p>
<p class="date">Created: 2019-05-02 jeu. 14:12</p>
<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
</div>
</body>