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@@ -284,21 +30,21 @@ for the JavaScript code in this tag.
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<h2>Table of Contents</h2>
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<div id="text-table-of-contents">
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<ul>
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<li><a href="#org5f3a483">1. Experimental Setup</a></li>
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<li><a href="#orgb6a54b7">2. Measurement Analysis</a>
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<li><a href="#org98d0be2">1. Experimental Setup</a></li>
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<li><a href="#org7e6d21c">2. Measurement Analysis</a>
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<ul>
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<li><a href="#org4ded9a6">2.1. Load data</a></li>
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<li><a href="#orgddfc81a">2.2. Time domain plots of the measured voltage</a></li>
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<li><a href="#orgf447e5f">2.3. Computation of the ASD of the measured voltage</a></li>
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<li><a href="#org7130c8f">2.4. Scaling to take into account the sensibility of the geophone and the voltage amplifier</a></li>
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<li><a href="#org456f387">2.5. Time domain plots of the ground motion</a></li>
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<li><a href="#org76df958">2.6. Computation of the ASD of the velocity and displacement</a></li>
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<li><a href="#org63b1f9a">2.7. Save</a></li>
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<li><a href="#orgabb922e">2.8. Comparison with other measurements of ground motion</a>
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<li><a href="#orgb4815e7">2.1. Load data</a></li>
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<li><a href="#org76505c6">2.2. Time domain plots of the measured voltage</a></li>
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<li><a href="#orge77c65d">2.3. Computation of the ASD of the measured voltage</a></li>
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<li><a href="#org7f9c12d">2.4. Scaling to take into account the sensibility of the geophone and the voltage amplifier</a></li>
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<li><a href="#org7f5940d">2.5. Time domain plots of the ground motion</a></li>
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<li><a href="#org02ba5d0">2.6. Computation of the ASD of the velocity and displacement</a></li>
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<li><a href="#org1e033f3">2.7. Save</a></li>
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<li><a href="#org8d373fd">2.8. Comparison with other measurements of ground motion</a>
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<ul>
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<li><a href="#org499997c">2.8.1. Load the measurement data</a></li>
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<li><a href="#org3b715d1">2.8.2. Compute PSD of the measurements</a></li>
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<li><a href="#org59b7d0c">2.8.3. Compare PSD of Cern, ID09 and ID31</a></li>
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<li><a href="#orgad95d8a">2.8.1. Load the measurement data</a></li>
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<li><a href="#orgd5a5c4f">2.8.2. Compute PSD of the measurements</a></li>
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<li><a href="#org4688ea2">2.8.3. Compare PSD of Cern, ID09 and ID31</a></li>
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@@ -307,8 +53,8 @@ for the JavaScript code in this tag.
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||||
<div id="outline-container-org5f3a483" class="outline-2">
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<h2 id="org5f3a483"><span class="section-number-2">1</span> Experimental Setup</h2>
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<div id="outline-container-org98d0be2" class="outline-2">
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||||
<h2 id="org98d0be2"><span class="section-number-2">1</span> Experimental Setup</h2>
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<div class="outline-text-2" id="text-1">
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||||
<p>
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||||
The goal here is to compare the ground motion at the location of the micro-station (ID31 beamline at ESRF) with other measurements of the ground motion.
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@@ -330,11 +76,11 @@ Then the signal is amplified by a Voltage Amplifier with the following settings:
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</ul>
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<p>
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On figure <a href="#org138fc2c">1</a> is an overview of multiple measurements made at famous location.
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On figure <a href="#orgb7f8464">1</a> is an overview of multiple measurements made at famous location.
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</p>
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<div id="org138fc2c" class="figure">
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<div id="orgb7f8464" class="figure">
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<p><img src="./img/ground_motion_measurements.png" alt="ground_motion_measurements.png" width="800px" />
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</p>
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<p><span class="figure-number">Figure 1: </span>Power spectral density of ground vibration in the vertical direction at multiple locations (<a href="https://vibration.desy.de/">source</a>)</p>
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@@ -342,13 +88,13 @@ On figure <a href="#org138fc2c">1</a> is an overview of multiple measurements ma
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</div>
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</div>
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||||
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||||
<div id="outline-container-orgb6a54b7" class="outline-2">
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<h2 id="orgb6a54b7"><span class="section-number-2">2</span> Measurement Analysis</h2>
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||||
<div id="outline-container-org7e6d21c" class="outline-2">
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||||
<h2 id="org7e6d21c"><span class="section-number-2">2</span> Measurement Analysis</h2>
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||||
<div class="outline-text-2" id="text-2">
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||||
<p>
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||||
<a id="org50bb0e4"></a>
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||||
<a id="orgcc23e80"></a>
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||||
</p>
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||||
<div class="note">
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||||
<div class="note" id="org6e1fb83">
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||||
<p>
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||||
All the files (data and Matlab scripts) are accessible <a href="data/ground_meas_id31.zip">here</a>.
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||||
</p>
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||||
@@ -356,8 +102,8 @@ All the files (data and Matlab scripts) are accessible <a href="data/ground_meas
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</div>
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</div>
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|
||||
<div id="outline-container-org4ded9a6" class="outline-3">
|
||||
<h3 id="org4ded9a6"><span class="section-number-3">2.1</span> Load data</h3>
|
||||
<div id="outline-container-orgb4815e7" class="outline-3">
|
||||
<h3 id="orgb4815e7"><span class="section-number-3">2.1</span> Load data</h3>
|
||||
<div class="outline-text-3" id="text-2-1">
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">data = load(<span class="org-string">'mat/data_028.mat'</span>, <span class="org-string">'data'</span>); data = data.data;
|
||||
@@ -366,8 +112,8 @@ All the files (data and Matlab scripts) are accessible <a href="data/ground_meas
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgddfc81a" class="outline-3">
|
||||
<h3 id="orgddfc81a"><span class="section-number-3">2.2</span> Time domain plots of the measured voltage</h3>
|
||||
<div id="outline-container-org76505c6" class="outline-3">
|
||||
<h3 id="org76505c6"><span class="section-number-3">2.2</span> Time domain plots of the measured voltage</h3>
|
||||
<div class="outline-text-3" id="text-2-2">
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-type">figure</span>;
|
||||
@@ -380,7 +126,7 @@ xlim([0, 100]);
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org62b557f" class="figure">
|
||||
<div id="org32fab28" class="figure">
|
||||
<p><img src="figs/ground_motion_id31_time.png" alt="ground_motion_id31_time.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 2: </span>Measurement of the ground motion - Time domain</p>
|
||||
@@ -388,8 +134,8 @@ xlim([0, 100]);
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgf447e5f" class="outline-3">
|
||||
<h3 id="orgf447e5f"><span class="section-number-3">2.3</span> Computation of the ASD of the measured voltage</h3>
|
||||
<div id="outline-container-orge77c65d" class="outline-3">
|
||||
<h3 id="orge77c65d"><span class="section-number-3">2.3</span> Computation of the ASD of the measured voltage</h3>
|
||||
<div class="outline-text-3" id="text-2-3">
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">dt = data(2, 3) <span class="org-type">-</span> data(1, 3);
|
||||
@@ -417,7 +163,7 @@ xlim([0.1, 500]);
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org3ff16a1" class="figure">
|
||||
<div id="org46dd80c" class="figure">
|
||||
<p><img src="figs/ground_motion_id31_asd_volt.png" alt="ground_motion_id31_asd_volt.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 3: </span>Amplitude Spectral Density of the measured Voltage</p>
|
||||
@@ -425,11 +171,11 @@ xlim([0.1, 500]);
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org7130c8f" class="outline-3">
|
||||
<h3 id="org7130c8f"><span class="section-number-3">2.4</span> Scaling to take into account the sensibility of the geophone and the voltage amplifier</h3>
|
||||
<div id="outline-container-org7f9c12d" class="outline-3">
|
||||
<h3 id="org7f9c12d"><span class="section-number-3">2.4</span> Scaling to take into account the sensibility of the geophone and the voltage amplifier</h3>
|
||||
<div class="outline-text-3" id="text-2-4">
|
||||
<p>
|
||||
The Geophone used are L22. Their sensibility is shown on figure <a href="#org3a2258d">4</a>.
|
||||
The Geophone used are L22. Their sensibility is shown on figure <a href="#org8006b4c">4</a>.
|
||||
</p>
|
||||
|
||||
<div class="org-src-container">
|
||||
@@ -454,7 +200,7 @@ xlim([0.1, 100]);
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org3a2258d" class="figure">
|
||||
<div id="org8006b4c" class="figure">
|
||||
<p><img src="figs/geophone_sensibility.png" alt="geophone_sensibility.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 4: </span>Sensibility of the Geophone</p>
|
||||
@@ -491,8 +237,8 @@ Finally, we obtain the PSD of the ground motion in \(m^2/Hz\) by dividing by the
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org456f387" class="outline-3">
|
||||
<h3 id="org456f387"><span class="section-number-3">2.5</span> Time domain plots of the ground motion</h3>
|
||||
<div id="outline-container-org7f5940d" class="outline-3">
|
||||
<h3 id="org7f5940d"><span class="section-number-3">2.5</span> Time domain plots of the ground motion</h3>
|
||||
<div class="outline-text-3" id="text-2-5">
|
||||
<p>
|
||||
We can inverse the dynamics of the geophone to convert the measured voltage into the estimated ground motion.
|
||||
@@ -506,14 +252,14 @@ est_dis = lsim(1<span class="org-type">/</span>(1<span class="org-type">+</span>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org85b0910" class="figure">
|
||||
<div id="org3674cd1" class="figure">
|
||||
<p><img src="figs/time_domain_velocity.png" alt="time_domain_velocity.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 5: </span>Time domain velocity (<a href="./figs/time_domain_velocity.png">png</a>, <a href="./figs/time_domain_velocity.pdf">pdf</a>)</p>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org5dd32fd" class="figure">
|
||||
<div id="org39fbab6" class="figure">
|
||||
<p><img src="figs/time_domain_displacement.png" alt="time_domain_displacement.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 6: </span>Time domain absolute displacement (<a href="./figs/time_domain_displacement.png">png</a>, <a href="./figs/time_domain_displacement.pdf">pdf</a>)</p>
|
||||
@@ -521,11 +267,11 @@ est_dis = lsim(1<span class="org-type">/</span>(1<span class="org-type">+</span>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org76df958" class="outline-3">
|
||||
<h3 id="org76df958"><span class="section-number-3">2.6</span> Computation of the ASD of the velocity and displacement</h3>
|
||||
<div id="outline-container-org02ba5d0" class="outline-3">
|
||||
<h3 id="org02ba5d0"><span class="section-number-3">2.6</span> Computation of the ASD of the velocity and displacement</h3>
|
||||
<div class="outline-text-3" id="text-2-6">
|
||||
<p>
|
||||
The ASD of the measured velocity is shown on figure <a href="#org5031b4e">7</a>.
|
||||
The ASD of the measured velocity is shown on figure <a href="#orgddc47d6">7</a>.
|
||||
</p>
|
||||
|
||||
<div class="org-src-container">
|
||||
@@ -541,14 +287,14 @@ xlim([0.1, 500]);
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org5031b4e" class="figure">
|
||||
<div id="orgddc47d6" class="figure">
|
||||
<p><img src="figs/ground_motion_id31_asd_velocity.png" alt="ground_motion_id31_asd_velocity.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 7: </span>Amplitude Spectral Density of the Velocity</p>
|
||||
</div>
|
||||
|
||||
<p>
|
||||
We also plot the ASD in displacement (figure <a href="#org593f7fc">8</a>);
|
||||
We also plot the ASD in displacement (figure <a href="#org9eb24d7">8</a>);
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-type">figure</span>;
|
||||
@@ -562,15 +308,15 @@ xlim([0.1, 500]);
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org593f7fc" class="figure">
|
||||
<div id="org9eb24d7" class="figure">
|
||||
<p><img src="figs/ground_motion_id31_asd_displacement.png" alt="ground_motion_id31_asd_displacement.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 8: </span>Amplitude Spectral Density of the Displacement</p>
|
||||
</div>
|
||||
|
||||
<p>
|
||||
And we also plot the PSD of the displacement in \(\frac{{\mu u}^2}{Hz}\) as it is a usual unit used (figure <a href="#orgfab6718">9</a>).
|
||||
One can then compare this curve with the figure <a href="#org138fc2c">1</a>.
|
||||
And we also plot the PSD of the displacement in \(\frac{{\mu u}^2}{Hz}\) as it is a usual unit used (figure <a href="#org5008310">9</a>).
|
||||
One can then compare this curve with the figure <a href="#orgb7f8464">1</a>.
|
||||
</p>
|
||||
|
||||
<div class="org-src-container">
|
||||
@@ -586,7 +332,7 @@ xlim([0.1, 500]); ylim([1e<span class="org-type">-</span>13, 1e3]);
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orgfab6718" class="figure">
|
||||
<div id="org5008310" class="figure">
|
||||
<p><img src="figs/ground_motion_id31_psd_displacement.png" alt="ground_motion_id31_psd_displacement.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 9: </span>Power Spectral Density of the measured displacement</p>
|
||||
@@ -594,8 +340,8 @@ xlim([0.1, 500]); ylim([1e<span class="org-type">-</span>13, 1e3]);
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org63b1f9a" class="outline-3">
|
||||
<h3 id="org63b1f9a"><span class="section-number-3">2.7</span> Save</h3>
|
||||
<div id="outline-container-org1e033f3" class="outline-3">
|
||||
<h3 id="org1e033f3"><span class="section-number-3">2.7</span> Save</h3>
|
||||
<div class="outline-text-3" id="text-2-7">
|
||||
<p>
|
||||
We save the PSD of the ground motion for further analysis.
|
||||
@@ -607,16 +353,16 @@ We save the PSD of the ground motion for further analysis.
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgabb922e" class="outline-3">
|
||||
<h3 id="orgabb922e"><span class="section-number-3">2.8</span> Comparison with other measurements of ground motion</h3>
|
||||
<div id="outline-container-org8d373fd" class="outline-3">
|
||||
<h3 id="org8d373fd"><span class="section-number-3">2.8</span> Comparison with other measurements of ground motion</h3>
|
||||
<div class="outline-text-3" id="text-2-8">
|
||||
<p>
|
||||
Now we will compare with other measurements.
|
||||
</p>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org499997c" class="outline-4">
|
||||
<h4 id="org499997c"><span class="section-number-4">2.8.1</span> Load the measurement data</h4>
|
||||
<div id="outline-container-orgad95d8a" class="outline-4">
|
||||
<h4 id="orgad95d8a"><span class="section-number-4">2.8.1</span> Load the measurement data</h4>
|
||||
<div class="outline-text-4" id="text-2-8-1">
|
||||
<p>
|
||||
First we load the measurement data.
|
||||
@@ -630,8 +376,8 @@ cern = load(<span class="org-string">'./mat/ground_motion_dist.mat'</span>);
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org3b715d1" class="outline-4">
|
||||
<h4 id="org3b715d1"><span class="section-number-4">2.8.2</span> Compute PSD of the measurements</h4>
|
||||
<div id="outline-container-orgd5a5c4f" class="outline-4">
|
||||
<h4 id="orgd5a5c4f"><span class="section-number-4">2.8.2</span> Compute PSD of the measurements</h4>
|
||||
<div class="outline-text-4" id="text-2-8-2">
|
||||
<p>
|
||||
We compute the Power Spectral Densities of the measurements.
|
||||
@@ -652,11 +398,11 @@ win_cern = hanning(ceil(10<span class="org-type">*</span>Fs_cern));
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org59b7d0c" class="outline-4">
|
||||
<h4 id="org59b7d0c"><span class="section-number-4">2.8.3</span> Compare PSD of Cern, ID09 and ID31</h4>
|
||||
<div id="outline-container-org4688ea2" class="outline-4">
|
||||
<h4 id="org4688ea2"><span class="section-number-4">2.8.3</span> Compare PSD of Cern, ID09 and ID31</h4>
|
||||
<div class="outline-text-4" id="text-2-8-3">
|
||||
<p>
|
||||
And we compare all the measurements (figure <a href="#orgfc63def">10</a>).
|
||||
And we compare all the measurements (figure <a href="#orgbef99fa">10</a>).
|
||||
</p>
|
||||
|
||||
<div class="org-src-container">
|
||||
@@ -674,7 +420,7 @@ xlim([0.1, 500]);
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orgfc63def" class="figure">
|
||||
<div id="orgbef99fa" class="figure">
|
||||
<p><img src="figs/ground_motion_compare.png" alt="ground_motion_compare.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 10: </span>Comparison of the PSD of the ground motion measured at different location</p>
|
||||
@@ -686,7 +432,7 @@ xlim([0.1, 500]);
|
||||
</div>
|
||||
<div id="postamble" class="status">
|
||||
<p class="author">Author: Dehaeze Thomas</p>
|
||||
<p class="date">Created: 2020-01-28 mar. 15:01</p>
|
||||
<p class="date">Created: 2020-11-12 jeu. 10:28</p>
|
||||
</div>
|
||||
</body>
|
||||
</html>
|
||||
|
||||
@@ -7,15 +7,10 @@
|
||||
#+AUTHOR: Dehaeze Thomas
|
||||
|
||||
#+HTML_LINK_HOME: ../index.html
|
||||
#+HTML_LINK_UP: ../index.html
|
||||
#+HTML_LINK_UP: ../index.html
|
||||
|
||||
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/htmlize.css"/>
|
||||
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/readtheorg.css"/>
|
||||
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="../css/zenburn.css"/>
|
||||
#+HTML_HEAD: <script type="text/javascript" src="../js/jquery.min.js"></script>
|
||||
#+HTML_HEAD: <script type="text/javascript" src="../js/bootstrap.min.js"></script>
|
||||
#+HTML_HEAD: <script type="text/javascript" src="../js/jquery.stickytableheaders.min.js"></script>
|
||||
#+HTML_HEAD: <script type="text/javascript" src="../js/readtheorg.js"></script>
|
||||
#+HTML_HEAD: <link rel="stylesheet" type="text/css" href="https://research.tdehaeze.xyz/css/style.css"/>
|
||||
#+HTML_HEAD: <script type="text/javascript" src="https://research.tdehaeze.xyz/js/script.js"></script>
|
||||
|
||||
#+HTML_MATHJAX: align: center tagside: right font: TeX
|
||||
|
||||
|
||||
Reference in New Issue
Block a user