Use online CSS and JS
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<title>Vibrations induced by simultaneous scans of the translation stage and of the slip-ring</title>
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/*
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@licstart The following is the entire license notice for the
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Copyright (C) 2012-2019 Free Software Foundation, Inc.
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The JavaScript code in this tag is free software: you can
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As additional permission under GNU GPL version 3 section 7, you
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@licend The above is the entire license notice
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<body>
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<div id="org-div-home-and-up">
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@@ -258,28 +22,28 @@ 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="#orge303e87">1. Measurement description</a></li>
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<li><a href="#orgc23d6dc">2. Data Analysis</a>
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<li><a href="#org5be3e39">1. Measurement description</a></li>
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<li><a href="#orgedd4b9f">2. Data Analysis</a>
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<ul>
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<li><a href="#org629d4b4">2.1. Load data</a></li>
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<li><a href="#org79a2c27">2.2. Voltage to Velocity</a></li>
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<li><a href="#org1bafa09">2.3. Time domain plots</a></li>
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<li><a href="#org05973bc">2.4. Frequency Domain</a></li>
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<li><a href="#org57188a5">2.5. Ty motion and current</a>
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<li><a href="#org5c43df8">2.1. Load data</a></li>
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<li><a href="#org64ca923">2.2. Voltage to Velocity</a></li>
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<li><a href="#org28e12e9">2.3. Time domain plots</a></li>
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<li><a href="#org2072860">2.4. Frequency Domain</a></li>
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<li><a href="#org556cfcd">2.5. Ty motion and current</a>
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<ul>
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<li><a href="#org07bb77c">2.5.1. Data pre-processing</a></li>
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<li><a href="#org8bcb0f7">2.5.2. Time domain data</a></li>
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<li><a href="#orga6f989f">2.5.1. Data pre-processing</a></li>
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<li><a href="#orgf4ca54c">2.5.2. Time domain data</a></li>
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</ul>
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</li>
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<li><a href="#org005d22e">2.6. Conclusion</a></li>
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<li><a href="#org7e6aef2">2.6. Conclusion</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-orge303e87" class="outline-2">
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<h2 id="orge303e87"><span class="section-number-2">1</span> Measurement description</h2>
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<div id="outline-container-org5be3e39" class="outline-2">
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<h2 id="org5be3e39"><span class="section-number-2">1</span> Measurement description</h2>
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<div class="outline-text-2" id="text-1">
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<p>
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<b>Setup</b>:
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@@ -384,13 +148,13 @@ Each of the measurement <code>mat</code> file contains one <code>data</code> arr
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</div>
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</div>
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<div id="outline-container-orgc23d6dc" class="outline-2">
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<h2 id="orgc23d6dc"><span class="section-number-2">2</span> Data Analysis</h2>
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<div id="outline-container-orgedd4b9f" class="outline-2">
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<h2 id="orgedd4b9f"><span class="section-number-2">2</span> Data 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="org4563c51"></a>
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<a id="orgf5774c2"></a>
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</p>
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<div class="note">
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<div class="note" id="org87cd5df">
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<p>
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All the files (data and Matlab scripts) are accessible <a href="data/disturbance_ty_sr.zip">here</a>.
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</p>
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@@ -398,66 +162,66 @@ All the files (data and Matlab scripts) are accessible <a href="data/disturbance
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</div>
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</div>
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<div id="outline-container-org629d4b4" class="outline-3">
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<h3 id="org629d4b4"><span class="section-number-3">2.1</span> Load data</h3>
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<div id="outline-container-org5c43df8" class="outline-3">
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<h3 id="org5c43df8"><span class="section-number-3">2.1</span> Load data</h3>
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<div class="outline-text-3" id="text-2-1">
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<div class="org-src-container">
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<pre class="src src-matlab">ty_of = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_050.mat', 'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; ty_of = ty_of.data;
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||||
ty_on = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_051.mat', 'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; ty_on = ty_on.data;
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||||
ty_1h = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_052.mat', 'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; ty_1h = ty_1h.data;
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||||
<pre class="src src-matlab">ty_of = load(<span class="org-string">'mat/data_050.mat'</span>, <span class="org-string">'data'</span>); ty_of = ty_of.data;
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ty_on = load(<span class="org-string">'mat/data_051.mat'</span>, <span class="org-string">'data'</span>); ty_on = ty_on.data;
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ty_1h = load(<span class="org-string">'mat/data_052.mat'</span>, <span class="org-string">'data'</span>); ty_1h = ty_1h.data;
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</pre>
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</div>
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</div>
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</div>
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<div id="outline-container-org79a2c27" class="outline-3">
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<h3 id="org79a2c27"><span class="section-number-3">2.2</span> Voltage to Velocity</h3>
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<div id="outline-container-org64ca923" class="outline-3">
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<h3 id="org64ca923"><span class="section-number-3">2.2</span> Voltage to Velocity</h3>
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<div class="outline-text-3" id="text-2-2">
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<p>
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||||
We convert the measured voltage to velocity using the function <code>voltageToVelocityL22</code> (accessible <a href="file:///home/thomas/Cloud/These/meas/src/index.html">here</a>).
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</p>
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<div class="org-src-container">
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<pre class="src src-matlab">gain = <span class="org-highlight-numbers-number">40</span>; <span class="org-comment">% [dB]</span>
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<pre class="src src-matlab">gain = 40; <span class="org-comment">% [dB]</span>
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|
||||
ty_of<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-1">)</span> = voltageToVelocityL22<span class="org-rainbow-delimiters-depth-1">(</span>ty_of<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, ty_of<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, gain<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
ty_on<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-1">)</span> = voltageToVelocityL22<span class="org-rainbow-delimiters-depth-1">(</span>ty_on<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, ty_on<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, gain<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
ty_1h<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-1">)</span> = voltageToVelocityL22<span class="org-rainbow-delimiters-depth-1">(</span>ty_1h<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, ty_1h<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, gain<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
ty_of(<span class="org-type">:</span>, 1) = voltageToVelocityL22(ty_of(<span class="org-type">:</span>, 1), ty_of(<span class="org-type">:</span>, 3), gain);
|
||||
ty_on(<span class="org-type">:</span>, 1) = voltageToVelocityL22(ty_on(<span class="org-type">:</span>, 1), ty_on(<span class="org-type">:</span>, 3), gain);
|
||||
ty_1h(<span class="org-type">:</span>, 1) = voltageToVelocityL22(ty_1h(<span class="org-type">:</span>, 1), ty_1h(<span class="org-type">:</span>, 3), gain);
|
||||
|
||||
ty_of<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span> = voltageToVelocityL22<span class="org-rainbow-delimiters-depth-1">(</span>ty_of<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>, ty_of<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, gain<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
ty_on<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span> = voltageToVelocityL22<span class="org-rainbow-delimiters-depth-1">(</span>ty_on<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>, ty_on<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, gain<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
ty_1h<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span> = voltageToVelocityL22<span class="org-rainbow-delimiters-depth-1">(</span>ty_1h<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>, ty_1h<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, gain<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
ty_of(<span class="org-type">:</span>, 2) = voltageToVelocityL22(ty_of(<span class="org-type">:</span>, 2), ty_of(<span class="org-type">:</span>, 3), gain);
|
||||
ty_on(<span class="org-type">:</span>, 2) = voltageToVelocityL22(ty_on(<span class="org-type">:</span>, 2), ty_on(<span class="org-type">:</span>, 3), gain);
|
||||
ty_1h(<span class="org-type">:</span>, 2) = voltageToVelocityL22(ty_1h(<span class="org-type">:</span>, 2), ty_1h(<span class="org-type">:</span>, 3), gain);
|
||||
</pre>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org1bafa09" class="outline-3">
|
||||
<h3 id="org1bafa09"><span class="section-number-3">2.3</span> Time domain plots</h3>
|
||||
<div id="outline-container-org28e12e9" class="outline-3">
|
||||
<h3 id="org28e12e9"><span class="section-number-3">2.3</span> Time domain plots</h3>
|
||||
<div class="outline-text-3" id="text-2-3">
|
||||
<p>
|
||||
We plot the measured velocity of the marble (figure <a href="#org53f1c30">1</a>), sample (figure <a href="#org6938117">2</a>) and the relative velocity of the sample with respect to the marble (figure <a href="#orgfd8af3e">3</a>).
|
||||
We plot the measured velocity of the marble (figure <a href="#orgd7a043f">1</a>), sample (figure <a href="#orgd957b15">2</a>) and the relative velocity of the sample with respect to the marble (figure <a href="#org0571475">3</a>).
|
||||
</p>
|
||||
|
||||
<p>
|
||||
We also integrate the relative velocity to obtain the relative displacement (figure <a href="#org425e005">4</a>).
|
||||
We also integrate the relative velocity to obtain the relative displacement (figure <a href="#orgca7d76b">4</a>).
|
||||
</p>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-type">figure</span>;
|
||||
hold on;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>ty_1h<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, ty_1h<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>, 'DisplayName', 'Marble <span class="org-type">-</span> Ty <span class="org-highlight-numbers-number">1Hz</span>'<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>ty_on<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, ty_on<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Marble - Ty ON'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>ty_of<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, ty_of<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Marble - Ty OFF'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot(ty_1h(<span class="org-type">:</span>, 3), ty_1h(<span class="org-type">:</span>, 1), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Marble - Ty 1Hz'</span>);
|
||||
plot(ty_on(<span class="org-type">:</span>, 3), ty_on(<span class="org-type">:</span>, 1), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Marble - Ty ON'</span>);
|
||||
plot(ty_of(<span class="org-type">:</span>, 3), ty_of(<span class="org-type">:</span>, 1), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Marble - Ty OFF'</span>);
|
||||
hold off;
|
||||
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Time </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">s</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">)</span></span><span class="org-string">; ylabel</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-string">'Velocity </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">m/s</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">0</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Location', 'southwest'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlabel(<span class="org-string">'Time [s]'</span>); ylabel(<span class="org-string">'Velocity [m/s]'</span>);
|
||||
xlim([0, 2]);
|
||||
legend(<span class="org-string">'Location'</span>, <span class="org-string">'southwest'</span>);
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org53f1c30" class="figure">
|
||||
<div id="orgd7a043f" class="figure">
|
||||
<p><img src="figs/ty_marble_time.png" alt="ty_marble_time.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 1: </span>Velocity of the marble in the vertical direction</p>
|
||||
@@ -466,18 +230,18 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-type">figure</span>;
|
||||
hold on;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>ty_1h<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, ty_1h<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>, 'DisplayName', 'Sample <span class="org-type">-</span> Ty <span class="org-type">-</span> <span class="org-highlight-numbers-number">1Hz</span>'<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>ty_on<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, ty_on<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Sample - Ty - ON'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>ty_of<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, ty_of<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Sample - Ty - OFF'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot(ty_1h(<span class="org-type">:</span>, 3), ty_1h(<span class="org-type">:</span>, 2), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Sample - Ty - 1Hz'</span>);
|
||||
plot(ty_on(<span class="org-type">:</span>, 3), ty_on(<span class="org-type">:</span>, 2), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Sample - Ty - ON'</span>);
|
||||
plot(ty_of(<span class="org-type">:</span>, 3), ty_of(<span class="org-type">:</span>, 2), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Sample - Ty - OFF'</span>);
|
||||
hold off;
|
||||
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Time </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">s</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">)</span></span><span class="org-string">; ylabel</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-string">'Velocity </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">m/s</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">0</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Location', 'southwest'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlabel(<span class="org-string">'Time [s]'</span>); ylabel(<span class="org-string">'Velocity [m/s]'</span>);
|
||||
xlim([0, 2]);
|
||||
legend(<span class="org-string">'Location'</span>, <span class="org-string">'southwest'</span>);
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org6938117" class="figure">
|
||||
<div id="orgd957b15" class="figure">
|
||||
<p><img src="figs/ty_sample_time.png" alt="ty_sample_time.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 2: </span>Velocity of the sample in the vertical direction</p>
|
||||
@@ -486,18 +250,18 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-type">figure</span>;
|
||||
hold on;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>ty_1h<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, ty_1h<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span><span class="org-type">-</span>ty_1h<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>, 'DisplayName', 'Relative Velocity <span class="org-type">-</span> Ty <span class="org-type">-</span> <span class="org-highlight-numbers-number">1Hz</span>'<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>ty_on<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, ty_on<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span><span class="org-type">-</span>ty_on<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Relative Velocity - Ty - ON'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>ty_of<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, ty_of<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span><span class="org-type">-</span>ty_of<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Relative Velocity - Ty - OFF'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot(ty_1h(<span class="org-type">:</span>, 3), ty_1h(<span class="org-type">:</span>, 2)<span class="org-type">-</span>ty_1h(<span class="org-type">:</span>, 1), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Relative Velocity - Ty - 1Hz'</span>);
|
||||
plot(ty_on(<span class="org-type">:</span>, 3), ty_on(<span class="org-type">:</span>, 2)<span class="org-type">-</span>ty_on(<span class="org-type">:</span>, 1), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Relative Velocity - Ty - ON'</span>);
|
||||
plot(ty_of(<span class="org-type">:</span>, 3), ty_of(<span class="org-type">:</span>, 2)<span class="org-type">-</span>ty_of(<span class="org-type">:</span>, 1), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Relative Velocity - Ty - OFF'</span>);
|
||||
hold off;
|
||||
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Time </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">s</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">)</span></span><span class="org-string">; ylabel</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-string">'Velocity </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">m/s</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">0</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Location', 'southwest'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlabel(<span class="org-string">'Time [s]'</span>); ylabel(<span class="org-string">'Velocity [m/s]'</span>);
|
||||
xlim([0, 2]);
|
||||
legend(<span class="org-string">'Location'</span>, <span class="org-string">'southwest'</span>);
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orgfd8af3e" class="figure">
|
||||
<div id="org0571475" class="figure">
|
||||
<p><img src="figs/ty_relative_time.png" alt="ty_relative_time.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 3: </span>Relative velocity of the sample with respect to the marble</p>
|
||||
@@ -506,18 +270,18 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-type">figure</span>;
|
||||
hold on;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>ty_1h<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, lsim<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-highlight-numbers-number">1</span><span class="org-type">/</span>s, ty_1h<span class="org-rainbow-delimiters-depth-3">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-3">)</span><span class="org-type">-</span>ty_1h<span class="org-rainbow-delimiters-depth-3">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-3">)</span>, ty_1h<span class="org-rainbow-delimiters-depth-3">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-3">)</span><span class="org-rainbow-delimiters-depth-2">)</span>, 'DisplayName', 'Relative Displacement<span class="org-type">-</span> Ty <span class="org-type">-</span> <span class="org-highlight-numbers-number">1Hz</span>'<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>ty_on<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, lsim<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-highlight-numbers-number">1</span><span class="org-type">/</span>s, ty_on<span class="org-rainbow-delimiters-depth-3">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-3">)</span><span class="org-type">-</span>ty_on<span class="org-rainbow-delimiters-depth-3">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-3">)</span>, ty_on<span class="org-rainbow-delimiters-depth-3">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-3">)</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Relative Displacement- Ty - ON'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>ty_of<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, lsim<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-highlight-numbers-number">1</span><span class="org-type">/</span>s, ty_of<span class="org-rainbow-delimiters-depth-3">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-3">)</span><span class="org-type">-</span>ty_of<span class="org-rainbow-delimiters-depth-3">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-3">)</span>, ty_of<span class="org-rainbow-delimiters-depth-3">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-3">)</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Relative Displacement- Ty - OFF'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot(ty_1h(<span class="org-type">:</span>, 3), lsim(1<span class="org-type">/</span>s, ty_1h(<span class="org-type">:</span>, 2)<span class="org-type">-</span>ty_1h(<span class="org-type">:</span>, 1), ty_1h(<span class="org-type">:</span>, 3)), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Relative Displacement- Ty - 1Hz'</span>);
|
||||
plot(ty_on(<span class="org-type">:</span>, 3), lsim(1<span class="org-type">/</span>s, ty_on(<span class="org-type">:</span>, 2)<span class="org-type">-</span>ty_on(<span class="org-type">:</span>, 1), ty_on(<span class="org-type">:</span>, 3)), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Relative Displacement- Ty - ON'</span>);
|
||||
plot(ty_of(<span class="org-type">:</span>, 3), lsim(1<span class="org-type">/</span>s, ty_of(<span class="org-type">:</span>, 2)<span class="org-type">-</span>ty_of(<span class="org-type">:</span>, 1), ty_of(<span class="org-type">:</span>, 3)), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Relative Displacement- Ty - OFF'</span>);
|
||||
hold off;
|
||||
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Time </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">s</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">)</span></span><span class="org-string">; ylabel</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-string">'Displacement </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">m</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">0</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Location', 'southwest'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlabel(<span class="org-string">'Time [s]'</span>); ylabel(<span class="org-string">'Displacement [m]'</span>);
|
||||
xlim([0, 2]);
|
||||
legend(<span class="org-string">'Location'</span>, <span class="org-string">'southwest'</span>);
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org425e005" class="figure">
|
||||
<div id="orgca7d76b" class="figure">
|
||||
<p><img src="figs/ty_relative_disp_time.png" alt="ty_relative_disp_time.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 4: </span>Relative Displacement of the sample with respect to the marble</p>
|
||||
@@ -525,18 +289,18 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org05973bc" class="outline-3">
|
||||
<h3 id="org05973bc"><span class="section-number-3">2.4</span> Frequency Domain</h3>
|
||||
<div id="outline-container-org2072860" class="outline-3">
|
||||
<h3 id="org2072860"><span class="section-number-3">2.4</span> Frequency Domain</h3>
|
||||
<div class="outline-text-3" id="text-2-4">
|
||||
<p>
|
||||
We first compute some parameters that will be used for the PSD computation.
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">dt = ty_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>ty_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>;
|
||||
<pre class="src src-matlab">dt = ty_of(2, 3)<span class="org-type">-</span>ty_of(1, 3);
|
||||
|
||||
Fs = <span class="org-highlight-numbers-number">1</span><span class="org-type">/</span>dt; <span class="org-comment">% [Hz]</span>
|
||||
Fs = 1<span class="org-type">/</span>dt; <span class="org-comment">% [Hz]</span>
|
||||
|
||||
win = hanning<span class="org-rainbow-delimiters-depth-1">(</span>ceil<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-highlight-numbers-number">10</span><span class="org-type">*</span>Fs<span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
win = hanning(ceil(10<span class="org-type">*</span>Fs));
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
@@ -548,9 +312,9 @@ Then we compute the Power Spectral Density using <code>pwelch</code> function.
|
||||
First for the geophone located on the marble
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-rainbow-delimiters-depth-1">[</span>pxof_m, f<span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>ty_of<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>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-rainbow-delimiters-depth-1">[</span>pxon_m, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>ty_on<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>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-rainbow-delimiters-depth-1">[</span>px1h_m, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>ty_1h<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>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<pre class="src src-matlab">[pxof_m, f] = pwelch(ty_of(<span class="org-type">:</span>, 1), win, [], [], Fs);
|
||||
[pxon_m, <span class="org-type">~</span>] = pwelch(ty_on(<span class="org-type">:</span>, 1), win, [], [], Fs);
|
||||
[px1h_m, <span class="org-type">~</span>] = pwelch(ty_1h(<span class="org-type">:</span>, 1), win, [], [], Fs);
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
@@ -558,9 +322,9 @@ First for the geophone located on the marble
|
||||
And for the geophone located at the sample position.
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-rainbow-delimiters-depth-1">[</span>pxof_s, f<span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>ty_of<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-rainbow-delimiters-depth-1">[</span>pxon_s, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>ty_on<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-rainbow-delimiters-depth-1">[</span>px1h_s, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>ty_1h<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<pre class="src src-matlab">[pxof_s, f] = pwelch(ty_of(<span class="org-type">:</span>, 2), win, [], [], Fs);
|
||||
[pxon_s, <span class="org-type">~</span>] = pwelch(ty_on(<span class="org-type">:</span>, 2), win, [], [], Fs);
|
||||
[px1h_s, <span class="org-type">~</span>] = pwelch(ty_1h(<span class="org-type">:</span>, 2), win, [], [], Fs);
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
@@ -568,9 +332,9 @@ And for the geophone located at the sample position.
|
||||
Finally, for the relative velocity.
|
||||
</p>
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-rainbow-delimiters-depth-1">[</span>pxof_r, f<span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>ty_of<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span><span class="org-type">-</span>ty_of<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>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-rainbow-delimiters-depth-1">[</span>pxon_r, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>ty_on<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span><span class="org-type">-</span>ty_on<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>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-rainbow-delimiters-depth-1">[</span>px1h_r, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>ty_1h<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span><span class="org-type">-</span>ty_1h<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>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<pre class="src src-matlab">[pxof_r, f] = pwelch(ty_of(<span class="org-type">:</span>, 2)<span class="org-type">-</span>ty_of(<span class="org-type">:</span>, 1), win, [], [], Fs);
|
||||
[pxon_r, <span class="org-type">~</span>] = pwelch(ty_on(<span class="org-type">:</span>, 2)<span class="org-type">-</span>ty_on(<span class="org-type">:</span>, 1), win, [], [], Fs);
|
||||
[px1h_r, <span class="org-type">~</span>] = pwelch(ty_1h(<span class="org-type">:</span>, 2)<span class="org-type">-</span>ty_1h(<span class="org-type">:</span>, 1), win, [], [], Fs);
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
@@ -578,28 +342,28 @@ Finally, for the relative velocity.
|
||||
And we plot the ASD of the measured velocities:
|
||||
</p>
|
||||
<ul class="org-ul">
|
||||
<li>figure <a href="#org00eb9e9">5</a> for the geophone located on the marble</li>
|
||||
<li>figure <a href="#org192c441">6</a> for the geophone at the sample position</li>
|
||||
<li>figure <a href="#org1b88cd2">7</a> for the relative velocity</li>
|
||||
<li>figure <a href="#org177c365">5</a> for the geophone located on the marble</li>
|
||||
<li>figure <a href="#org7f50f38">6</a> for the geophone at the sample position</li>
|
||||
<li>figure <a href="#org5c98070">7</a> for the relative velocity</li>
|
||||
</ul>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-type">figure</span>;
|
||||
hold on;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>px1h_m<span class="org-rainbow-delimiters-depth-2">)</span>, 'DisplayName', 'Marble <span class="org-type">-</span> Ty <span class="org-highlight-numbers-number">1Hz</span>'<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>pxon_m<span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Marble - Ty ON'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>pxof_m<span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Marble - Ty OFF'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot(f, sqrt(px1h_m), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Marble - Ty 1Hz'</span>);
|
||||
plot(f, sqrt(pxon_m), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Marble - Ty ON'</span>);
|
||||
plot(f, sqrt(pxof_m), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Marble - Ty OFF'</span>);
|
||||
hold off;
|
||||
<span class="org-type">set</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-variable-name">gca</span>, <span class="org-string">'xscale', 'log'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-type">set</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-variable-name">gca</span>, <span class="org-string">'yscale', 'log'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Frequency </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">Hz</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">)</span></span><span class="org-string">; ylabel</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-string">'</span>ASD of the measured velocity $<span class="org-type">\</span>left<span class="org-rainbow-delimiters-depth-2">[</span><span class="org-type">\</span>frac<span class="org-rainbow-delimiters-depth-3">{</span>m<span class="org-type">/</span>s<span class="org-rainbow-delimiters-depth-3">}{</span><span class="org-type">\</span>sqrt<span class="org-rainbow-delimiters-depth-4">{</span>Hz<span class="org-rainbow-delimiters-depth-4">}</span><span class="org-rainbow-delimiters-depth-3">}</span><span class="org-type">\</span>right<span class="org-rainbow-delimiters-depth-2">]</span>$'<span class="org-rainbow-delimiters-depth-1">)</span>
|
||||
legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Location', 'southwest'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">500</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-type">set</span>(<span class="org-variable-name">gca</span>, <span class="org-string">'xscale'</span>, <span class="org-string">'log'</span>);
|
||||
<span class="org-type">set</span>(<span class="org-variable-name">gca</span>, <span class="org-string">'yscale'</span>, <span class="org-string">'log'</span>);
|
||||
xlabel(<span class="org-string">'Frequency [Hz]'</span>); ylabel(<span class="org-string">'ASD of the measured velocity $\left[\frac{m/s}{\sqrt{Hz}}\right]$'</span>)
|
||||
legend(<span class="org-string">'Location'</span>, <span class="org-string">'southwest'</span>);
|
||||
xlim([1, 500]);
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org00eb9e9" class="figure">
|
||||
<div id="org177c365" class="figure">
|
||||
<p><img src="figs/psd_marble_compare.png" alt="psd_marble_compare.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 5: </span>Comparison of the ASD of the measured velocities from the Geophone on the marble</p>
|
||||
@@ -608,20 +372,20 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-type">figure</span>;
|
||||
hold on;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>px1h_s<span class="org-rainbow-delimiters-depth-2">)</span>, 'DisplayName', 'Sample <span class="org-type">-</span> Ty <span class="org-highlight-numbers-number">1Hz</span>'<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>pxon_s<span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Sample - Ty ON'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>pxof_s<span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Sample - Ty OFF'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot(f, sqrt(px1h_s), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Sample - Ty 1Hz'</span>);
|
||||
plot(f, sqrt(pxon_s), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Sample - Ty ON'</span>);
|
||||
plot(f, sqrt(pxof_s), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Sample - Ty OFF'</span>);
|
||||
hold off;
|
||||
<span class="org-type">set</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-variable-name">gca</span>, <span class="org-string">'xscale', 'log'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-type">set</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-variable-name">gca</span>, <span class="org-string">'yscale', 'log'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Frequency </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">Hz</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">)</span></span><span class="org-string">; ylabel</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-string">'</span>ASD of the measured velocity $<span class="org-type">\</span>left<span class="org-rainbow-delimiters-depth-2">[</span><span class="org-type">\</span>frac<span class="org-rainbow-delimiters-depth-3">{</span>m<span class="org-type">/</span>s<span class="org-rainbow-delimiters-depth-3">}{</span><span class="org-type">\</span>sqrt<span class="org-rainbow-delimiters-depth-4">{</span>Hz<span class="org-rainbow-delimiters-depth-4">}</span><span class="org-rainbow-delimiters-depth-3">}</span><span class="org-type">\</span>right<span class="org-rainbow-delimiters-depth-2">]</span>$'<span class="org-rainbow-delimiters-depth-1">)</span>
|
||||
legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Location', 'southwest'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">500</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-type">set</span>(<span class="org-variable-name">gca</span>, <span class="org-string">'xscale'</span>, <span class="org-string">'log'</span>);
|
||||
<span class="org-type">set</span>(<span class="org-variable-name">gca</span>, <span class="org-string">'yscale'</span>, <span class="org-string">'log'</span>);
|
||||
xlabel(<span class="org-string">'Frequency [Hz]'</span>); ylabel(<span class="org-string">'ASD of the measured velocity $\left[\frac{m/s}{\sqrt{Hz}}\right]$'</span>)
|
||||
legend(<span class="org-string">'Location'</span>, <span class="org-string">'southwest'</span>);
|
||||
xlim([1, 500]);
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org192c441" class="figure">
|
||||
<div id="org7f50f38" class="figure">
|
||||
<p><img src="figs/psd_sample_compare.png" alt="psd_sample_compare.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 6: </span>Comparison of the ASD of the measured velocities from the Geophone at the sample location</p>
|
||||
@@ -630,20 +394,20 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-type">figure</span>;
|
||||
hold on;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>px1h_r<span class="org-rainbow-delimiters-depth-2">)</span>, 'DisplayName', 'Relative <span class="org-type">-</span> Ty <span class="org-highlight-numbers-number">1Hz</span>'<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>pxon_r<span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Relative - Ty ON'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>pxof_r<span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Relative - Ty OFF'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot(f, sqrt(px1h_r), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Relative - Ty 1Hz'</span>);
|
||||
plot(f, sqrt(pxon_r), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Relative - Ty ON'</span>);
|
||||
plot(f, sqrt(pxof_r), <span class="org-string">'DisplayName'</span>, <span class="org-string">'Relative - Ty OFF'</span>);
|
||||
hold off;
|
||||
<span class="org-type">set</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-variable-name">gca</span>, <span class="org-string">'xscale', 'log'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-type">set</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-variable-name">gca</span>, <span class="org-string">'yscale', 'log'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Frequency </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">Hz</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">)</span></span><span class="org-string">; ylabel</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-string">'</span>ASD of the measured velocity $<span class="org-type">\</span>left<span class="org-rainbow-delimiters-depth-2">[</span><span class="org-type">\</span>frac<span class="org-rainbow-delimiters-depth-3">{</span>m<span class="org-type">/</span>s<span class="org-rainbow-delimiters-depth-3">}{</span><span class="org-type">\</span>sqrt<span class="org-rainbow-delimiters-depth-4">{</span>Hz<span class="org-rainbow-delimiters-depth-4">}</span><span class="org-rainbow-delimiters-depth-3">}</span><span class="org-type">\</span>right<span class="org-rainbow-delimiters-depth-2">]</span>$'<span class="org-rainbow-delimiters-depth-1">)</span>
|
||||
legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Location', 'southwest'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">500</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<span class="org-type">set</span>(<span class="org-variable-name">gca</span>, <span class="org-string">'xscale'</span>, <span class="org-string">'log'</span>);
|
||||
<span class="org-type">set</span>(<span class="org-variable-name">gca</span>, <span class="org-string">'yscale'</span>, <span class="org-string">'log'</span>);
|
||||
xlabel(<span class="org-string">'Frequency [Hz]'</span>); ylabel(<span class="org-string">'ASD of the measured velocity $\left[\frac{m/s}{\sqrt{Hz}}\right]$'</span>)
|
||||
legend(<span class="org-string">'Location'</span>, <span class="org-string">'southwest'</span>);
|
||||
xlim([1, 500]);
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="org1b88cd2" class="figure">
|
||||
<div id="org5c98070" class="figure">
|
||||
<p><img src="figs/psd_relative_compare.png" alt="psd_relative_compare.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 7: </span>Comparison of the ASD of the relative velocity</p>
|
||||
@@ -651,41 +415,74 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org57188a5" class="outline-3">
|
||||
<h3 id="org57188a5"><span class="section-number-3">2.5</span> Ty motion and current</h3>
|
||||
<div id="outline-container-org556cfcd" class="outline-3">
|
||||
<h3 id="org556cfcd"><span class="section-number-3">2.5</span> Ty motion and current</h3>
|
||||
<div class="outline-text-3" id="text-2-5">
|
||||
<p>
|
||||
The position of the translation stage and current flowing in its actuator are measured using the elmo software and saved as an csv file.
|
||||
</p>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org07bb77c" class="outline-4">
|
||||
<h4 id="org07bb77c"><span class="section-number-4">2.5.1</span> Data pre-processing</h4>
|
||||
<div id="outline-container-orga6f989f" class="outline-4">
|
||||
<h4 id="orga6f989f"><span class="section-number-4">2.5.1</span> Data pre-processing</h4>
|
||||
<div class="outline-text-4" id="text-2-5-1">
|
||||
<p>
|
||||
Let's look at at the start of the csv file.
|
||||
Let’s look at at the start of the csv file.
|
||||
</p>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-bash">sed -n <span class="org-highlight-numbers-number">1,30p</span> mat/Ty-when-Rz-1Hz-and-Ty-1Hz.csv | nl -ba -
|
||||
<pre class="src src-bash">sed -n 1,30p mat/Ty-when-Rz-1Hz-and-Ty-1Hz.csv | nl -ba -
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
<pre class="example" id="org149992b">
|
||||
1 Elmo txt chart ver 2.0
|
||||
2
|
||||
3 [File Properties]
|
||||
4 Creation Time,2019-05-13 05:33:43
|
||||
5 Last Updated,2019-05-13 05:33:43
|
||||
6 Resolution,0.001
|
||||
7 Sampling Time,5E-05
|
||||
8 Recording Time,5.461
|
||||
9
|
||||
10 [Chart Properties]
|
||||
11 No.,Name,X Linear,X No.
|
||||
12 1,Chart #1,True,0
|
||||
13 2,Chart #2,True,0
|
||||
14
|
||||
15 [Chart Data]
|
||||
16 Display No.,X No.,Y No.,X Unit,Y Unit,Color,Style,Width
|
||||
17 1,1,2,sec,N/A,ff0000ff,Solid,TwoPoint
|
||||
18 2,1,3,sec,N/A,ff0000ff,Solid,TwoPoint
|
||||
19 2,1,4,sec,N/A,ff007f00,Solid,TwoPoint
|
||||
20
|
||||
21 [Signal Names]
|
||||
22 1,Time (sec)
|
||||
23 2,Position [cnt]
|
||||
24 3,Current Command [A]
|
||||
25 4,Total Current Command [A]
|
||||
26
|
||||
27 [Signals Data Group 1]
|
||||
28 1,2,3,4,
|
||||
29 0,-141044,-0.537239575086517,-0.537239575086517,
|
||||
30 0.001,-143127,-0.530803752974691,-0.530803752974691,
|
||||
</pre>
|
||||
|
||||
<p>
|
||||
The real data starts at line 29.
|
||||
We then load this <code>cvs</code> file starting at line 29.
|
||||
</p>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab">tye_on = csvread<span class="org-rainbow-delimiters-depth-1">(</span>"mat<span class="org-type">/</span>Ty<span class="org-type">-</span>when<span class="org-type">-</span>Rz<span class="org-type">-</span><span class="org-highlight-numbers-number">1Hz</span>.csv", <span class="org-highlight-numbers-number">29</span>, <span class="org-highlight-numbers-number">0</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
tye_1h = csvread<span class="org-rainbow-delimiters-depth-1">(</span>"mat<span class="org-type">/</span>Ty<span class="org-type">-</span>when<span class="org-type">-</span>Rz<span class="org-type">-</span><span class="org-highlight-numbers-number">1Hz</span><span class="org-type">-</span>and<span class="org-type">-</span>Ty<span class="org-type">-</span><span class="org-highlight-numbers-number">1Hz</span>.csv", <span class="org-highlight-numbers-number">29</span>, <span class="org-highlight-numbers-number">0</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
<pre class="src src-matlab">tye_on = csvread(<span class="org-string">"mat/Ty-when-Rz-1Hz.csv"</span>, 29, 0);
|
||||
tye_1h = csvread(<span class="org-string">"mat/Ty-when-Rz-1Hz-and-Ty-1Hz.csv"</span>, 29, 0);
|
||||
</pre>
|
||||
</div>
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org8bcb0f7" class="outline-4">
|
||||
<h4 id="org8bcb0f7"><span class="section-number-4">2.5.2</span> Time domain data</h4>
|
||||
<div id="outline-container-orgf4ca54c" class="outline-4">
|
||||
<h4 id="orgf4ca54c"><span class="section-number-4">2.5.2</span> Time domain data</h4>
|
||||
<div class="outline-text-4" id="text-2-5-2">
|
||||
<p>
|
||||
We plot the position of the translation stage measured by the encoders.
|
||||
@@ -696,27 +493,27 @@ There is 200000 encoder count for each mm, we then divide by 200000 to obtain mm
|
||||
</p>
|
||||
|
||||
<p>
|
||||
The result is shown on figure <a href="#orgfeb408e">8</a>.
|
||||
The result is shown on figure <a href="#org10136ca">8</a>.
|
||||
</p>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-type">figure</span>;
|
||||
subplot<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">2</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>tye_on<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-rainbow-delimiters-depth-2">(</span>tye_on<span class="org-rainbow-delimiters-depth-3">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-3">)</span><span class="org-type">-</span>mean<span class="org-rainbow-delimiters-depth-3">(</span>tye_on<span class="org-rainbow-delimiters-depth-4">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-4">)</span><span class="org-rainbow-delimiters-depth-3">)</span><span class="org-rainbow-delimiters-depth-2">)</span><span class="org-type">/</span><span class="org-highlight-numbers-number">200000</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">0</span>, <span class="org-highlight-numbers-number">5</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Time </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">s</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">)</span></span><span class="org-string">; ylabel</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-string">'Position </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">mm</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">{</span><span class="org-string">'Ty - ON'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">}</span></span><span class="org-string">, 'Location', 'northeast'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
subplot(1, 2, 1);
|
||||
plot(tye_on(<span class="org-type">:</span>, 1), (tye_on(<span class="org-type">:</span>, 2)<span class="org-type">-</span>mean(tye_on(<span class="org-type">:</span>, 2)))<span class="org-type">/</span>200000);
|
||||
xlim([0, 5]);
|
||||
xlabel(<span class="org-string">'Time [s]'</span>); ylabel(<span class="org-string">'Position [mm]'</span>);
|
||||
legend({<span class="org-string">'Ty - ON'</span>}, <span class="org-string">'Location'</span>, <span class="org-string">'northeast'</span>);
|
||||
|
||||
subplot<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">2</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>tye_1h<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-rainbow-delimiters-depth-2">(</span>tye_1h<span class="org-rainbow-delimiters-depth-3">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-3">)</span><span class="org-type">-</span>mean<span class="org-rainbow-delimiters-depth-3">(</span>tye_1h<span class="org-rainbow-delimiters-depth-4">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-4">)</span><span class="org-rainbow-delimiters-depth-3">)</span><span class="org-rainbow-delimiters-depth-2">)</span><span class="org-type">/</span><span class="org-highlight-numbers-number">200000</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">0</span>, <span class="org-highlight-numbers-number">5</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Time </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">s</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">)</span></span><span class="org-string">; ylabel</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-string">'Position </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">mm</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">{</span>'Ty <span class="org-type">-</span> <span class="org-highlight-numbers-number">1Hz</span>'<span class="org-rainbow-delimiters-depth-2">}</span>, 'Location', 'northeast'<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
subplot(1, 2, 2);
|
||||
plot(tye_1h(<span class="org-type">:</span>, 1), (tye_1h(<span class="org-type">:</span>, 2)<span class="org-type">-</span>mean(tye_1h(<span class="org-type">:</span>, 2)))<span class="org-type">/</span>200000);
|
||||
xlim([0, 5]);
|
||||
xlabel(<span class="org-string">'Time [s]'</span>); ylabel(<span class="org-string">'Position [mm]'</span>);
|
||||
legend({<span class="org-string">'Ty - 1Hz'</span>}, <span class="org-string">'Location'</span>, <span class="org-string">'northeast'</span>);
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orgfeb408e" class="figure">
|
||||
<div id="org10136ca" class="figure">
|
||||
<p><img src="figs/ty_position_time.png" alt="ty_position_time.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 8: </span>Y position of the translation stage measured by the encoders</p>
|
||||
@@ -724,27 +521,27 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rain
|
||||
|
||||
|
||||
<p>
|
||||
We also plot the current as function of the time on figure <a href="#orgbd294dc">9</a>.
|
||||
We also plot the current as function of the time on figure <a href="#org553205c">9</a>.
|
||||
</p>
|
||||
|
||||
<div class="org-src-container">
|
||||
<pre class="src src-matlab"><span class="org-type">figure</span>;
|
||||
subplot<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">2</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>tye_on<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>, tye_on<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span><span class="org-type">-</span>mean<span class="org-rainbow-delimiters-depth-2">(</span>tye_on<span class="org-rainbow-delimiters-depth-3">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-3">)</span><span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">0</span>, <span class="org-highlight-numbers-number">5</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Time </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">s</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">)</span></span><span class="org-string">; ylabel</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-string">'Current </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">A</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">{</span><span class="org-string">'Ty - ON'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">}</span></span><span class="org-string">, 'Location', 'northeast'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
subplot(1, 2, 1);
|
||||
plot(tye_on(<span class="org-type">:</span>, 1), tye_on(<span class="org-type">:</span>, 3)<span class="org-type">-</span>mean(tye_on(<span class="org-type">:</span>, 3)));
|
||||
xlim([0, 5]);
|
||||
xlabel(<span class="org-string">'Time [s]'</span>); ylabel(<span class="org-string">'Current [A]'</span>);
|
||||
legend({<span class="org-string">'Ty - ON'</span>}, <span class="org-string">'Location'</span>, <span class="org-string">'northeast'</span>);
|
||||
|
||||
subplot<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">2</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
plot<span class="org-rainbow-delimiters-depth-1">(</span>tye_1h<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>, tye_1h<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span><span class="org-type">-</span>mean<span class="org-rainbow-delimiters-depth-2">(</span>tye_1h<span class="org-rainbow-delimiters-depth-3">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-3">)</span><span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">0</span>, <span class="org-highlight-numbers-number">5</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Time </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">s</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">)</span></span><span class="org-string">; ylabel</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-string">'Current </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">A</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">{</span>'Ty <span class="org-type">-</span> <span class="org-highlight-numbers-number">1Hz</span>'<span class="org-rainbow-delimiters-depth-2">}</span>, 'Location', 'northeast'<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||
subplot(1, 2, 2);
|
||||
plot(tye_1h(<span class="org-type">:</span>, 1), tye_1h(<span class="org-type">:</span>, 3)<span class="org-type">-</span>mean(tye_1h(<span class="org-type">:</span>, 3)));
|
||||
xlim([0, 5]);
|
||||
xlabel(<span class="org-string">'Time [s]'</span>); ylabel(<span class="org-string">'Current [A]'</span>);
|
||||
legend({<span class="org-string">'Ty - 1Hz'</span>}, <span class="org-string">'Location'</span>, <span class="org-string">'northeast'</span>);
|
||||
</pre>
|
||||
</div>
|
||||
|
||||
|
||||
<div id="orgbd294dc" class="figure">
|
||||
<div id="org553205c" class="figure">
|
||||
<p><img src="figs/ty_current_time.png" alt="ty_current_time.png" />
|
||||
</p>
|
||||
<p><span class="figure-number">Figure 9: </span>Current going through the actuator of the translation stage</p>
|
||||
@@ -753,10 +550,10 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rain
|
||||
</div>
|
||||
</div>
|
||||
|
||||
<div id="outline-container-org005d22e" class="outline-3">
|
||||
<h3 id="org005d22e"><span class="section-number-3">2.6</span> Conclusion</h3>
|
||||
<div id="outline-container-org7e6aef2" class="outline-3">
|
||||
<h3 id="org7e6aef2"><span class="section-number-3">2.6</span> Conclusion</h3>
|
||||
<div class="outline-text-3" id="text-2-6">
|
||||
<div class="important">
|
||||
<div class="important" id="org6da1178">
|
||||
<ul class="org-ul">
|
||||
<li></li>
|
||||
</ul>
|
||||
@@ -768,8 +565,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rain
|
||||
</div>
|
||||
<div id="postamble" class="status">
|
||||
<p class="author">Author: Dehaeze Thomas</p>
|
||||
<p class="date">Created: 2019-05-15 mer. 15:49</p>
|
||||
<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
|
||||
<p class="date">Created: 2020-11-12 jeu. 10:27</p>
|
||||
</div>
|
||||
</body>
|
||||
</html>
|
||||
|
||||
Reference in New Issue
Block a user