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<body>
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<div id="content">
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||||
<h1 class="title">Ground Motion Measurements</h1>
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<div id="table-of-contents">
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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="#orge954850">1. Preprocessing of id31 ground motion measurement</a></li>
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<li><a href="#org012110a">2. Plots</a>
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<ul>
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<li><a href="#orgf7a58e9">2.1. ID09 Measurements - Time Domain</a></li>
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<li><a href="#org620f4e3">2.2. Compute PSD of ID09 ground motion</a></li>
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<li><a href="#orgc3259a0">2.3. Compare PSD of Cern, ID09 and ID31</a></li>
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</ul>
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</li>
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</ul>
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</div>
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</div>
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<div id="outline-container-orge954850" class="outline-2">
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<h2 id="orge954850"><span class="section-number-2">1</span> Preprocessing of id31 ground motion measurement</h2>
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<div class="outline-text-2" id="text-1">
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<div class="org-src-container">
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||||
<pre class="src src-matlab">data = table2array<span style="color: #707183;">(</span>readtable<span style="color: #7388D6;">(</span><span style="color: #008000;">'./data/id31_camac_floor_PSD_october2014.txt'</span><span style="color: #7388D6;">)</span><span style="color: #707183;">)</span>;
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</pre>
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</div>
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<p>
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The first column is the frequency vector in Hz.
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</p>
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<div class="org-src-container">
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<pre class="src src-matlab">gm.freqs = data<span style="color: #707183;">(</span><span style="color: #6434A3;">:</span>, <span style="color: #D0372D;">1</span><span style="color: #707183;">)</span>;
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||||
</pre>
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||||
</div>
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||||
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||||
<p>
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||||
The other colmns are the PSD of the ground velocity in \(\frac{(\mu m/s)^2}{Hz}\) for the x,y,z axis.
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It is converted to \(\frac{(m/s)^2}{Hz}\).
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||||
</p>
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||||
<div class="org-src-container">
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||||
<pre class="src src-matlab">gm.psd_vx = <span style="color: #D0372D;">1e</span><span style="color: #6434A3;">-</span><span style="color: #D0372D;">12</span><span style="color: #6434A3;">*</span>data<span style="color: #707183;">(</span><span style="color: #6434A3;">:</span>, <span style="color: #D0372D;">2</span><span style="color: #707183;">)</span>;
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||||
gm.psd_vy = <span style="color: #D0372D;">1e</span><span style="color: #6434A3;">-</span><span style="color: #D0372D;">12</span><span style="color: #6434A3;">*</span>data<span style="color: #707183;">(</span><span style="color: #6434A3;">:</span>, <span style="color: #D0372D;">3</span><span style="color: #707183;">)</span>;
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||||
gm.psd_vz = <span style="color: #D0372D;">1e</span><span style="color: #6434A3;">-</span><span style="color: #D0372D;">12</span><span style="color: #6434A3;">*</span>data<span style="color: #707183;">(</span><span style="color: #6434A3;">:</span>, <span style="color: #D0372D;">4</span><span style="color: #707183;">)</span>;
|
||||
</pre>
|
||||
</div>
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||||
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||||
<p>
|
||||
Finally, we integrate the signal to obtain the power spectral density of the ground displacement.
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">gm.psd_dx = gm.psd_vx<span style="color: #6434A3;">./</span><span style="color: #707183;">(</span><span style="color: #D0372D;">2</span><span style="color: #6434A3;">*</span><span style="color: #D0372D;">pi</span><span style="color: #6434A3;">*</span>gm.freqs<span style="color: #707183;">)</span>;
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||||
gm.psd_dy = gm.psd_vy<span style="color: #6434A3;">./</span><span style="color: #707183;">(</span><span style="color: #D0372D;">2</span><span style="color: #6434A3;">*</span><span style="color: #D0372D;">pi</span><span style="color: #6434A3;">*</span>gm.freqs<span style="color: #707183;">)</span>;
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||||
gm.psd_dz = gm.psd_vz<span style="color: #6434A3;">./</span><span style="color: #707183;">(</span><span style="color: #D0372D;">2</span><span style="color: #6434A3;">*</span><span style="color: #D0372D;">pi</span><span style="color: #6434A3;">*</span>gm.freqs<span style="color: #707183;">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
<p>
|
||||
The pre-processed data are saved.
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">save<span style="color: #707183;">(</span><span style="color: #008000;">'./data/gm_esrf.mat', 'gm'</span><span style="color: #707183;">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org012110a" class="outline-2">
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||||
<h2 id="org012110a"><span class="section-number-2">2</span> Plots</h2>
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||||
<div class="outline-text-2" id="text-2">
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||||
<p>
|
||||
We load measurements made:
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||||
</p>
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||||
<ul class="org-ul">
|
||||
<li>at ID31</li>
|
||||
<li>at ID09</li>
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||||
<li>at CERN</li>
|
||||
</ul>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">id31 = load<span style="color: #707183;">(</span><span style="color: #008000;">'./data/ground_motion_psd.mat'</span><span style="color: #707183;">)</span>;
|
||||
id09 = load<span style="color: #707183;">(</span>'<span style="color: #6434A3;">./</span>data<span style="color: #6434A3;">/</span>id09_floor_september2018.mat'<span style="color: #707183;">)</span>;
|
||||
cern = load<span style="color: #707183;">(</span><span style="color: #008000;">'./data/ground_motion_dist.mat'</span><span style="color: #707183;">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgf7a58e9" class="outline-3">
|
||||
<h3 id="orgf7a58e9"><span class="section-number-3">2.1</span> ID09 Measurements - Time Domain</h3>
|
||||
<div class="outline-text-3" id="text-2-1">
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span style="color: #6434A3;">figure</span>;
|
||||
hold on;
|
||||
plot<span style="color: #707183;">(</span>id09.time3, <span style="color: #D0372D;">1e</span><span style="color: #6434A3;">-</span><span style="color: #D0372D;">6</span><span style="color: #6434A3;">*</span>id09.x_y_z<span style="color: #7388D6;">(</span><span style="color: #6434A3;">:</span>, <span style="color: #D0372D;">1</span><span style="color: #7388D6;">)</span>, <span style="color: #008000;">'DisplayName', 'dx'</span><span style="color: #707183;">)</span>;
|
||||
plot<span style="color: #707183;">(</span>id09.time3, <span style="color: #D0372D;">1e</span><span style="color: #6434A3;">-</span><span style="color: #D0372D;">6</span><span style="color: #6434A3;">*</span>id09.x_y_z<span style="color: #7388D6;">(</span><span style="color: #6434A3;">:</span>, <span style="color: #D0372D;">2</span><span style="color: #7388D6;">)</span>, <span style="color: #008000;">'DisplayName', 'dy'</span><span style="color: #707183;">)</span>;
|
||||
plot<span style="color: #707183;">(</span>id09.time3, <span style="color: #D0372D;">1e</span><span style="color: #6434A3;">-</span><span style="color: #D0372D;">6</span><span style="color: #6434A3;">*</span>id09.x_y_z<span style="color: #7388D6;">(</span><span style="color: #6434A3;">:</span>, <span style="color: #D0372D;">3</span><span style="color: #7388D6;">)</span>, <span style="color: #008000;">'DisplayName', 'dz'</span><span style="color: #707183;">)</span>;
|
||||
hold off;
|
||||
xlabel<span style="color: #707183;">(</span><span style="color: #008000;">'Time </span><span style="color: #7388D6;">[</span><span style="color: #008000;">s</span><span style="color: #7388D6;">]</span><span style="color: #008000;">'</span><span style="color: #707183;">)</span><span style="color: #008000;">; ylabel</span><span style="color: #707183;">(</span><span style="color: #008000;">'Velocity </span><span style="color: #7388D6;">[</span><span style="color: #008000;">$m/s$</span><span style="color: #7388D6;">]</span><span style="color: #008000;">'</span><span style="color: #707183;">)</span>;
|
||||
legend<span style="color: #707183;">()</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org2af1e23" class="figure">
|
||||
<p><img src="figs/id09_time_domain.png" alt="id09_time_domain.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 1: </span>Time domain data - ID09</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="outline-container-org620f4e3" class="outline-3">
|
||||
<h3 id="org620f4e3"><span class="section-number-3">2.2</span> Compute PSD of ID09 ground motion</h3>
|
||||
<div class="outline-text-3" id="text-2-2">
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span style="color: #707183;">[</span>id09_pxx, id09_f<span style="color: #707183;">]</span> = pwelch<span style="color: #707183;">(</span><span style="color: #D0372D;">1e</span><span style="color: #6434A3;">-</span><span style="color: #D0372D;">6</span><span style="color: #6434A3;">*</span>id09.x_y_z<span style="color: #7388D6;">(</span><span style="color: #6434A3;">:</span>, <span style="color: #D0372D;">1</span><span style="color: #7388D6;">)</span>, hanning<span style="color: #7388D6;">(</span>ceil<span style="color: #909183;">(</span>length<span style="color: #709870;">(</span><span style="color: #D0372D;">1e</span><span style="color: #6434A3;">-</span><span style="color: #D0372D;">6</span><span style="color: #6434A3;">*</span>id09.x_y_z<span style="color: #907373;">(</span><span style="color: #6434A3;">:</span>, <span style="color: #D0372D;">1</span><span style="color: #907373;">)</span><span style="color: #709870;">)</span><span style="color: #6434A3;">/</span><span style="color: #D0372D;">10</span><span style="color: #909183;">)</span><span style="color: #7388D6;">)</span>, <span style="color: #D0372D;">0</span>, <span style="color: #7388D6;">[]</span>, <span style="color: #D0372D;">1</span><span style="color: #6434A3;">/</span><span style="color: #7388D6;">(</span>id09.time3<span style="color: #909183;">(</span>end<span style="color: #909183;">)</span><span style="color: #6434A3;">/</span><span style="color: #909183;">(</span>length<span style="color: #709870;">(</span>id09.time3<span style="color: #709870;">)</span> <span style="color: #6434A3;">-</span> <span style="color: #D0372D;">1</span><span style="color: #909183;">)</span><span style="color: #7388D6;">)</span><span style="color: #707183;">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-orgc3259a0" class="outline-3">
|
||||
<h3 id="orgc3259a0"><span class="section-number-3">2.3</span> Compare PSD of Cern, ID09 and ID31</h3>
|
||||
<div class="outline-text-3" id="text-2-3">
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span style="color: #6434A3;">figure</span>;
|
||||
hold on;
|
||||
plot<span style="color: #707183;">(</span>cern.gm.freq, cern.gm.psd, <span style="color: #008000;">'DisplayName', 'CERN'</span><span style="color: #707183;">)</span>;
|
||||
plot<span style="color: #707183;">(</span>id31.freqs, id31.psd_dx, <span style="color: #008000;">'DisplayName', 'ID31'</span><span style="color: #707183;">)</span>;
|
||||
plot<span style="color: #707183;">(</span>id09_f, id09_pxx, <span style="color: #008000;">'DisplayName', '</span>ID09'<span style="color: #707183;">)</span>;
|
||||
hold off;
|
||||
<span style="color: #6434A3;">set</span><span style="color: #707183;">(</span><span style="color: #BA36A5;">gca</span>, <span style="color: #008000;">'XScale', 'log'</span><span style="color: #707183;">)</span><span style="color: #008000;">; set</span><span style="color: #707183;">(</span><span style="color: #008000;">gca, 'YScale', 'log'</span><span style="color: #707183;">)</span>;
|
||||
xlabel<span style="color: #707183;">(</span>'Frequency <span style="color: #7388D6;">[</span>Hz<span style="color: #7388D6;">]</span>'<span style="color: #707183;">)</span>; ylabel<span style="color: #707183;">(</span>'PSD <span style="color: #7388D6;">[</span>$m<span style="color: #6434A3;">^</span><span style="color: #D0372D;">2</span><span style="color: #6434A3;">/</span>Hz$<span style="color: #7388D6;">]</span>'<span style="color: #707183;">)</span>;
|
||||
legend<span style="color: #707183;">(</span><span style="color: #008000;">'Location', 'northeast'</span><span style="color: #707183;">)</span>;
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org9e7cda6" class="figure">
|
||||
<p><img src="figs/psd_comparison.png" alt="psd_comparison.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 2: </span>Comparison of the PSD of ground motion</p>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
<div id="postamble" class="status">
|
||||
<p class="author">Author: Thomas Dehaeze</p>
|
||||
<p class="date">Created: 2019-03-14 jeu. 16:18</p>
|
||||
<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
|
||||
</div>
|
||||
</body>
|
||||
</html>
|
||||
Reference in New Issue
Block a user