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<?xml version="1.0" encoding="utf-8"?>
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<?xml version="1.0" encoding="utf-8"?>
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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN"
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"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
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<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
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<!-- 2021-02-20 sam. 23:08 -->
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<title>Motion and Force Requirements for the Nano-Hexapod</title>
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<meta name="author" content="Dehaeze Thomas" />
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<a accesskey="h" href="./index.html"> UP </a>
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<a accesskey="H" href="../../index.html"> HOME </a>
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<h1 class="title">Motion and Force Requirements for the Nano-Hexapod</h1>
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<div id="table-of-contents">
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<h2>Table of Contents</h2>
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<div id="text-table-of-contents">
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<ul>
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<li><a href="#org70e526c">1. Soft Hexapod</a>
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<li><a href="#orgecd6b81">1. Soft Hexapod</a>
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<ul>
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<li><a href="#org3326d69">1.1. Example</a></li>
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<li><a href="#org292e705">1.1. Example</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-org70e526c" class="outline-2">
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<h2 id="org70e526c"><span class="section-number-2">1</span> Soft Hexapod</h2>
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<div id="outline-container-orgecd6b81" class="outline-2">
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<h2 id="orgecd6b81"><span class="section-number-2">1</span> Soft Hexapod</h2>
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<div class="outline-text-2" id="text-1">
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<p>
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As the nano-hexapod is in series with the other stages, it must apply all the force required to move the sample.
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@@ -76,8 +80,8 @@ Then from the Newton’s second law: \(m \vec{a} = \sum \vec{F}\) we can com
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</p>
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</div>
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<div id="outline-container-org3326d69" class="outline-3">
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<h3 id="org3326d69"><span class="section-number-3">1.1</span> Example</h3>
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<div id="outline-container-org292e705" class="outline-3">
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<h3 id="org292e705"><span class="section-number-3">1.1</span> Example</h3>
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<div class="outline-text-3" id="text-1-1">
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<p>
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The wanted motion is:
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@@ -121,11 +125,11 @@ And the norm of the force is:
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For a Light sample:
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</p>
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<div class="org-src-container">
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<pre class="src src-matlab">m = 30;
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d = 10e<span class="org-type">-</span>3;
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w = 2<span class="org-type">*</span><span class="org-constant">pi</span>;
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F = m<span class="org-type">*</span>d<span class="org-type">*</span>w<span class="org-type">^</span>2;
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<span class="org-constant">ans</span> = F
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<pre class="src src-matlab"> m = 30;
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d = 10e<span class="org-type">-</span>3;
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w = 2<span class="org-type">*</span><span class="org-constant">pi</span>;
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F = m<span class="org-type">*</span>d<span class="org-type">*</span>w<span class="org-type">^</span>2;
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<span class="org-constant">ans</span> = F
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</pre>
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</div>
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@@ -138,11 +142,11 @@ F = m<span class="org-type">*</span>d<span class="org-type">*</span>w<span class
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For the Heavy sample:
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</p>
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<div class="org-src-container">
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<pre class="src src-matlab">m = 80;
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d = 10e<span class="org-type">-</span>3;
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w = 2<span class="org-type">*</span><span class="org-constant">pi</span><span class="org-type">/</span>60;
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F = m<span class="org-type">*</span>d<span class="org-type">*</span>w<span class="org-type">^</span>2
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<span class="org-constant">ans</span> = F
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<pre class="src src-matlab"> m = 80;
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d = 10e<span class="org-type">-</span>3;
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w = 2<span class="org-type">*</span><span class="org-constant">pi</span><span class="org-type">/</span>60;
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F = m<span class="org-type">*</span>d<span class="org-type">*</span>w<span class="org-type">^</span>2
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<span class="org-constant">ans</span> = F
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</pre>
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</div>
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@@ -155,7 +159,7 @@ F = m<span class="org-type">*</span>d<span class="org-type">*</span>w<span class
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</div>
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<div id="postamble" class="status">
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<p class="author">Author: Dehaeze Thomas</p>
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<p class="date">Created: 2020-04-17 ven. 09:35</p>
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<p class="date">Created: 2021-02-20 sam. 23:08</p>
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