Add org-setup-file that all org file links to

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2020-04-17 10:25:44 +02:00
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77 changed files with 3037 additions and 8732 deletions

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@@ -4,239 +4,25 @@
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<!-- 2020-04-07 mar. 16:17 -->
<!-- 2020-04-17 ven. 09:35 -->
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<title>Effect of Uncertainty on the payload&rsquo;s dynamics on the isolation platform dynamics</title>
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<meta name="author" content="Dehaeze Thomas" />
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<div id="org-div-home-and-up">
@@ -251,17 +37,17 @@
<ul>
<li><a href="#orgcc5f0ec">1. Simple Introductory Example</a>
<ul>
<li><a href="#org1f20d62">1.1. Equations of motion</a></li>
<li><a href="#orgf75e223">1.1. Equations of motion</a></li>
<li><a href="#org4efccbf">1.2. Initialization of the payload dynamics</a></li>
<li><a href="#orgb400ca3">1.3. Initialization of the isolation platform</a></li>
<li><a href="#orgd0dd88b">1.4. Comparison</a></li>
<li><a href="#org1637b13">1.5. Conclusion</a></li>
<li><a href="#orgd1e600e">1.5. Conclusion</a></li>
</ul>
</li>
<li><a href="#org1f8e63e">2. Generalization to arbitrary dynamics</a>
<ul>
<li><a href="#orgc4fa63e">2.1. Introduction</a></li>
<li><a href="#orgd6da9a7">2.2. Equations of motion</a></li>
<li><a href="#org5ed1517">2.2. Equations of motion</a></li>
<li><a href="#orge217a33">2.3. Impedance \(G^\prime(s)\) of a mass-spring-damper payload</a></li>
<li><a href="#org0ee44da">2.4. First Analytical analysis</a></li>
<li><a href="#orgfe81c1c">2.5. Impedance of the Payload and Dynamical Uncertainty</a></li>
@@ -274,7 +60,7 @@
<li><a href="#org9086831">2.8.3. Effect of the platform&rsquo;s mass \(m\)</a></li>
</ul>
</li>
<li><a href="#org3a1ebf1">2.9. Conclusion</a></li>
<li><a href="#org3f697cc">2.9. Conclusion</a></li>
</ul>
</li>
</ul>
@@ -328,8 +114,8 @@ The goal is to stabilize \(x\) using \(F\) in spite of uncertainty on the payloa
</div>
</div>
<div id="outline-container-org1f20d62" class="outline-3">
<h3 id="org1f20d62"><span class="section-number-3">1.1</span> Equations of motion</h3>
<div id="outline-container-orgf75e223" class="outline-3">
<h3 id="orgf75e223"><span class="section-number-3">1.1</span> Equations of motion</h3>
<div class="outline-text-3" id="text-1-1">
<p>
If we write the equation of motion of the system in Figure <a href="#orgaa77a57">1</a>, we obtain:
@@ -436,8 +222,8 @@ The obtained dynamics from \(F\) to \(x\) for the three isolation platform are s
</div>
</div>
<div id="outline-container-org1637b13" class="outline-3">
<h3 id="org1637b13"><span class="section-number-3">1.5</span> Conclusion</h3>
<div id="outline-container-orgd1e600e" class="outline-3">
<h3 id="orgd1e600e"><span class="section-number-3">1.5</span> Conclusion</h3>
<div class="outline-text-3" id="text-1-5">
<div class="important">
<p>
@@ -489,8 +275,8 @@ Now let&rsquo;s consider the system consisting of a mass-spring-system (the isol
</div>
</div>
<div id="outline-container-orgd6da9a7" class="outline-3">
<h3 id="orgd6da9a7"><span class="section-number-3">2.2</span> Equations of motion</h3>
<div id="outline-container-org5ed1517" class="outline-3">
<h3 id="org5ed1517"><span class="section-number-3">2.2</span> Equations of motion</h3>
<div class="outline-text-3" id="text-2-2">
<p>
We have to following equations of motion:
@@ -946,8 +732,8 @@ Let&rsquo;s fix \(k = 10^7\ [N/m]\), \(\xi = \frac{c}{2\sqrt{km}} = 0.1\) and se
</div>
</div>
<div id="outline-container-org3a1ebf1" class="outline-3">
<h3 id="org3a1ebf1"><span class="section-number-3">2.9</span> Conclusion</h3>
<div id="outline-container-org3f697cc" class="outline-3">
<h3 id="org3f697cc"><span class="section-number-3">2.9</span> Conclusion</h3>
<div class="outline-text-3" id="text-2-9">
<div class="important">
<p>
@@ -971,7 +757,7 @@ In that case, maximizing the stiffness of the payload is a good idea.
</div>
<div id="postamble" class="status">
<p class="author">Author: Dehaeze Thomas</p>
<p class="date">Created: 2020-04-07 mar. 16:17</p>
<p class="date">Created: 2020-04-17 ven. 09:35</p>
</div>
</body>
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