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Add new file about optimal stiffness / control

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Thomas Dehaeze
2020-04-08 22:53:43 +02:00
parent 1b8bbbc606
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13 changed files with 1157 additions and 16 deletions
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docs/optimal_stiffness_disturbances.html
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<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
<meta name="viewport" content="width=device-width, initial-scale=1" />
<title>Determination of the optimal nano-hexapod&rsquo;s stiffness for reducing the effect of disturbances</title>
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<li><a href="#org78dd34d">2.3. Sensitivity to Stages vibration (Filtering)</a></li>
<li><a href="#orgd4ea2f4">2.4. Effect of Ground motion (Transmissibility).</a></li>
<li><a href="#org0448746">2.5. Direct Forces (Compliance).</a></li>
<li><a href="#org6791692">2.6. Conclusion</a></li>
<li><a href="#org08f24cd">2.6. Conclusion</a></li>
</ul>
</li>
<li><a href="#org6527e58">3. Effect of granite stiffness</a>
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</li>
<li><a href="#org9215f81">3.2. Soft Granite</a></li>
<li><a href="#org8878556">3.3. Effect of the Granite transfer function</a></li>
<li><a href="#orga001da4">3.4. Conclusion</a></li>
<li><a href="#orgbc8931e">3.4. Conclusion</a></li>
</ul>
</li>
<li><a href="#org8a88fb0">4. Open Loop Budget Error</a>
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<li><a href="#org6bd588f">4.1. Noise Budgeting - Theory</a></li>
<li><a href="#orgcc86f59">4.2. Power Spectral Densities</a></li>
<li><a href="#orgef96b89">4.3. Cumulative Amplitude Spectrum</a></li>
<li><a href="#org4352c0d">4.4. Conclusion</a></li>
<li><a href="#org18bab44">4.4. Conclusion</a></li>
</ul>
</li>
<li><a href="#org34c0f38">5. Closed Loop Budget Error</a>
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<li><a href="#orgf2d36a1">5.2. Reduction thanks to feedback - Required bandwidth</a></li>
</ul>
</li>
<li><a href="#org08f24cd">6. Conclusion</a></li>
<li><a href="#orgd9198a1">6. Conclusion</a></li>
</ul>
</div>
</div>
@@ -497,8 +497,8 @@ The effect of direct forces/torques applied on the sample (cable forces for inst
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<div id="outline-container-org6791692" class="outline-3">
<h3 id="org6791692"><span class="section-number-3">2.6</span> Conclusion</h3>
<div id="outline-container-org08f24cd" class="outline-3">
<h3 id="org08f24cd"><span class="section-number-3">2.6</span> Conclusion</h3>
<div class="outline-text-3" id="text-2-6">
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<p>
@@ -678,8 +678,8 @@ From Figures <a href="#orgc4c14fb">11</a> and <a href="#org533cc4b">12</a>, we s
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<div id="outline-container-orga001da4" class="outline-3">
<h3 id="orga001da4"><span class="section-number-3">3.4</span> Conclusion</h3>
<div id="outline-container-orgbc8931e" class="outline-3">
<h3 id="orgbc8931e"><span class="section-number-3">3.4</span> Conclusion</h3>
<div class="outline-text-3" id="text-3-4">
<div class="important">
<p>
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<div id="outline-container-org4352c0d" class="outline-3">
<h3 id="org4352c0d"><span class="section-number-3">4.4</span> Conclusion</h3>
<div id="outline-container-org18bab44" class="outline-3">
<h3 id="org18bab44"><span class="section-number-3">4.4</span> Conclusion</h3>
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<p>
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<div id="outline-container-org08f24cd" class="outline-2">
<h2 id="org08f24cd"><span class="section-number-2">6</span> Conclusion</h2>
<div id="outline-container-orgd9198a1" class="outline-2">
<h2 id="orgd9198a1"><span class="section-number-2">6</span> Conclusion</h2>
<div class="outline-text-2" id="text-6">
<div class="important">
<p>
@@ -1021,7 +1021,7 @@ From Figure <a href="#orgd677910">23</a> and Table <a href="#org5ab4860">1</a>,
</p>
<ul class="org-ul">
<li>For a soft nano-hexapod (\(k < 10^4\ [N/m]\)), the required bandwidth is \(\omega_c \approx 50-100\ Hz\)</li>
<li>For a nano-hexapods with \(10^5 < k < 10^6\ [N/m]\)), the required bandwidth is \(\omega_c \approx 150-300\ Hz\)</li>
<li>For a nano-hexapods with \(10^5 < k < 10^6\ [N/m]\), the required bandwidth is \(\omega_c \approx 150-300\ Hz\)</li>
<li>For a stiff nano-hexapods (\(k > 10^7\ [N/m]\)), the required bandwidth is \(\omega_c \approx 250-500\ Hz\)</li>
</ul>
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<div id="postamble" class="status">
<p class="author">Author: Dehaeze Thomas</p>
<p class="date">Created: 2020-04-08 mer. 12:17</p>
<p class="date">Created: 2020-04-08 mer. 17:20</p>
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