tdehaeze/nass-micro-station-measurements
1
0
Fork 0
Code Issues Pull Requests Releases Wiki Activity

Update index.org

Browse Source
This commit is contained in:
Thomas Dehaeze 2019-05-02 14:12:11 +02:00
parent 4be6fa1163
commit 43461782ed
6 changed files with 621 additions and 225 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

405
disturbance-measurement/index.html Normal file
View File

@ -0,0 +1,405 @@
<?xml version="1.0" encoding="utf-8"?>
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN"
"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
<head>
<!-- 2019-05-02 jeu. 14:11 -->
<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
<meta name="viewport" content="width=device-width, initial-scale=1" />
<title>Measurement of the sample vibrations when rotating the Spindle</title>
<meta name="generator" content="Org mode" />
<meta name="author" content="Thomas Dehaeze" />
<style type="text/css">
<!--/*--><![CDATA[/*><!--*/
.title { text-align: center;
margin-bottom: .2em; }
.subtitle { text-align: center;
font-size: medium;
font-weight: bold;
margin-top:0; }
.todo { font-family: monospace; color: red; }
.done { font-family: monospace; color: green; }
.priority { font-family: monospace; color: orange; }
.tag { background-color: #eee; font-family: monospace;
padding: 2px; font-size: 80%; font-weight: normal; }
.timestamp { color: #bebebe; }
.timestamp-kwd { color: #5f9ea0; }
.org-right { margin-left: auto; margin-right: 0px; text-align: right; }
.org-left { margin-left: 0px; margin-right: auto; text-align: left; }
.org-center { margin-left: auto; margin-right: auto; text-align: center; }
.underline { text-decoration: underline; }
#postamble p, #preamble p { font-size: 90%; margin: .2em; }
p.verse { margin-left: 3%; }
pre {
border: 1px solid #ccc;
box-shadow: 3px 3px 3px #eee;
padding: 8pt;
font-family: monospace;
overflow: auto;
margin: 1.2em;
}
pre.src {
position: relative;
overflow: visible;
padding-top: 1.2em;
}
pre.src:before {
display: none;
position: absolute;
background-color: white;
top: -10px;
right: 10px;
padding: 3px;
border: 1px solid black;
}
pre.src:hover:before { display: inline;}
/* Languages per Org manual */
pre.src-asymptote:before { content: 'Asymptote'; }
pre.src-awk:before { content: 'Awk'; }
pre.src-C:before { content: 'C'; }
/* pre.src-C++ doesn't work in CSS */
pre.src-clojure:before { content: 'Clojure'; }
pre.src-css:before { content: 'CSS'; }
pre.src-D:before { content: 'D'; }
pre.src-ditaa:before { content: 'ditaa'; }
pre.src-dot:before { content: 'Graphviz'; }
pre.src-calc:before { content: 'Emacs Calc'; }
pre.src-emacs-lisp:before { content: 'Emacs Lisp'; }
pre.src-fortran:before { content: 'Fortran'; }
pre.src-gnuplot:before { content: 'gnuplot'; }
pre.src-haskell:before { content: 'Haskell'; }
pre.src-hledger:before { content: 'hledger'; }
pre.src-java:before { content: 'Java'; }
pre.src-js:before { content: 'Javascript'; }
pre.src-latex:before { content: 'LaTeX'; }
pre.src-ledger:before { content: 'Ledger'; }
pre.src-lisp:before { content: 'Lisp'; }
pre.src-lilypond:before { content: 'Lilypond'; }
pre.src-lua:before { content: 'Lua'; }
pre.src-matlab:before { content: 'MATLAB'; }
pre.src-mscgen:before { content: 'Mscgen'; }
pre.src-ocaml:before { content: 'Objective Caml'; }
pre.src-octave:before { content: 'Octave'; }
pre.src-org:before { content: 'Org mode'; }
pre.src-oz:before { content: 'OZ'; }
pre.src-plantuml:before { content: 'Plantuml'; }
pre.src-processing:before { content: 'Processing.js'; }
pre.src-python:before { content: 'Python'; }
pre.src-R:before { content: 'R'; }
pre.src-ruby:before { content: 'Ruby'; }
pre.src-sass:before { content: 'Sass'; }
pre.src-scheme:before { content: 'Scheme'; }
pre.src-screen:before { content: 'Gnu Screen'; }
pre.src-sed:before { content: 'Sed'; }
pre.src-sh:before { content: 'shell'; }
pre.src-sql:before { content: 'SQL'; }
pre.src-sqlite:before { content: 'SQLite'; }
/* additional languages in org.el's org-babel-load-languages alist */
pre.src-forth:before { content: 'Forth'; }
pre.src-io:before { content: 'IO'; }
pre.src-J:before { content: 'J'; }
pre.src-makefile:before { content: 'Makefile'; }
pre.src-maxima:before { content: 'Maxima'; }
pre.src-perl:before { content: 'Perl'; }
pre.src-picolisp:before { content: 'Pico Lisp'; }
pre.src-scala:before { content: 'Scala'; }
pre.src-shell:before { content: 'Shell Script'; }
pre.src-ebnf2ps:before { content: 'ebfn2ps'; }
/* additional language identifiers per "defun org-babel-execute"
in ob-*.el */
pre.src-cpp:before { content: 'C++'; }
pre.src-abc:before { content: 'ABC'; }
pre.src-coq:before { content: 'Coq'; }
pre.src-groovy:before { content: 'Groovy'; }
/* additional language identifiers from org-babel-shell-names in
ob-shell.el: ob-shell is the only babel language using a lambda to put
the execution function name together. */
pre.src-bash:before { content: 'bash'; }
pre.src-csh:before { content: 'csh'; }
pre.src-ash:before { content: 'ash'; }
pre.src-dash:before { content: 'dash'; }
pre.src-ksh:before { content: 'ksh'; }
pre.src-mksh:before { content: 'mksh'; }
pre.src-posh:before { content: 'posh'; }
/* Additional Emacs modes also supported by the LaTeX listings package */
pre.src-ada:before { content: 'Ada'; }
pre.src-asm:before { content: 'Assembler'; }
pre.src-caml:before { content: 'Caml'; }
pre.src-delphi:before { content: 'Delphi'; }
pre.src-html:before { content: 'HTML'; }
pre.src-idl:before { content: 'IDL'; }
pre.src-mercury:before { content: 'Mercury'; }
pre.src-metapost:before { content: 'MetaPost'; }
pre.src-modula-2:before { content: 'Modula-2'; }
pre.src-pascal:before { content: 'Pascal'; }
pre.src-ps:before { content: 'PostScript'; }
pre.src-prolog:before { content: 'Prolog'; }
pre.src-simula:before { content: 'Simula'; }
pre.src-tcl:before { content: 'tcl'; }
pre.src-tex:before { content: 'TeX'; }
pre.src-plain-tex:before { content: 'Plain TeX'; }
pre.src-verilog:before { content: 'Verilog'; }
pre.src-vhdl:before { content: 'VHDL'; }
pre.src-xml:before { content: 'XML'; }
pre.src-nxml:before { content: 'XML'; }
/* add a generic configuration mode; LaTeX export needs an additional
(add-to-list 'org-latex-listings-langs '(conf " ")) in .emacs */
pre.src-conf:before { content: 'Configuration File'; }
table { border-collapse:collapse; }
caption.t-above { caption-side: top; }
caption.t-bottom { caption-side: bottom; }
td, th { vertical-align:top; }
th.org-right { text-align: center; }
th.org-left { text-align: center; }
th.org-center { text-align: center; }
td.org-right { text-align: right; }
td.org-left { text-align: left; }
td.org-center { text-align: center; }
dt { font-weight: bold; }
.footpara { display: inline; }
.footdef { margin-bottom: 1em; }
.figure { padding: 1em; }
.figure p { text-align: center; }
.equation-container {
display: table;
text-align: center;
width: 100%;
}
.equation {
vertical-align: middle;
}
.equation-label {
display: table-cell;
text-align: right;
vertical-align: middle;
}
.inlinetask {
padding: 10px;
border: 2px solid gray;
margin: 10px;
background: #ffffcc;
}
#org-div-home-and-up
{ text-align: right; font-size: 70%; white-space: nowrap; }
textarea { overflow-x: auto; }
.linenr { font-size: smaller }
.code-highlighted { background-color: #ffff00; }
.org-info-js_info-navigation { border-style: none; }
#org-info-js_console-label
{ font-size: 10px; font-weight: bold; white-space: nowrap; }
.org-info-js_search-highlight
{ background-color: #ffff00; color: #000000; font-weight: bold; }
.org-svg { width: 90%; }
/*]]>*/-->
</style>
<link rel="stylesheet" type="text/css" href="../css/htmlize.css"/>
<link rel="stylesheet" type="text/css" href="../css/readtheorg.css"/>
<link rel="stylesheet" type="text/css" href="../css/zenburn.css"/>
<script type="text/javascript" src="../js/jquery.min.js"></script>
<script type="text/javascript" src="../js/bootstrap.min.js"></script>
<script type="text/javascript" src="../js/jquery.stickytableheaders.min.js"></script>
<script type="text/javascript" src="../js/readtheorg.js"></script>
<script type="text/javascript">
/*
@licstart The following is the entire license notice for the
JavaScript code in this tag.
Copyright (C) 2012-2019 Free Software Foundation, Inc.
The JavaScript code in this tag is free software: you can
redistribute it and/or modify it under the terms of the GNU
General Public License (GNU GPL) as published by the Free Software
Foundation, either version 3 of the License, or (at your option)
any later version. The code is distributed WITHOUT ANY WARRANTY;
without even the implied warranty of MERCHANTABILITY or FITNESS
FOR A PARTICULAR PURPOSE. See the GNU GPL for more details.
As additional permission under GNU GPL version 3 section 7, you
may distribute non-source (e.g., minimized or compacted) forms of
that code without the copy of the GNU GPL normally required by
section 4, provided you include this license notice and a URL
through which recipients can access the Corresponding Source.
@licend The above is the entire license notice
for the JavaScript code in this tag.
*/
<!--/*--><![CDATA[/*><!--*/
function CodeHighlightOn(elem, id)
{
var target = document.getElementById(id);
if(null != target) {
elem.cacheClassElem = elem.className;
elem.cacheClassTarget = target.className;
target.className = "code-highlighted";
elem.className = "code-highlighted";
}
}
function CodeHighlightOff(elem, id)
{
var target = document.getElementById(id);
if(elem.cacheClassElem)
elem.className = elem.cacheClassElem;
if(elem.cacheClassTarget)
target.className = elem.cacheClassTarget;
}
/*]]>*///-->
</script>
</head>
<body>
<div id="content">
<h1 class="title">Measurement of the sample vibrations when rotating the Spindle</h1>
<div id="table-of-contents">
<h2>Table of Contents</h2>
<div id="text-table-of-contents">
<ul>
<li><a href="#orgdf465ae">1. Signal Processing</a>
<ul>
<li><a href="#org4996901">1.1. Load Data</a></li>
<li><a href="#org533857f">1.2. Pre-processing</a></li>
<li><a href="#org7af64b7">1.3. Time domain Data</a></li>
<li><a href="#orga48afa8">1.4. ASD and Frequency domain data</a></li>
</ul>
</li>
</ul>
</div>
</div>
<div id="outline-container-orgdf465ae" class="outline-2">
<h2 id="orgdf465ae"><span class="section-number-2">1</span> Signal Processing</h2>
<div class="outline-text-2" id="text-1">
</div>
<div id="outline-container-org4996901" class="outline-3">
<h3 id="org4996901"><span class="section-number-3">1.1</span> Load Data</h3>
<div class="outline-text-3" id="text-1-1">
<p>
Measurement <code>data_001.mat</code> corresponds to a measurement where the spindle is not turning and <code>data_002.mat</code> where the spindle is turning at 1rpm.
<code>x1</code> is the signal coming from the geophone located on the marble and <code>x2</code> is the signal from the geophone located on the sample station.
</p>
<div class="org-src-container">
<pre class="src src-matlab">data1 = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_001.mat', 't', 'x1', 'x2'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
data2 = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_002.mat', 't', 'x1', 'x2'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
</pre>
</div>
</div>
</div>
<div id="outline-container-org533857f" class="outline-3">
<h3 id="org533857f"><span class="section-number-3">1.2</span> Pre-processing</h3>
<div class="outline-text-3" id="text-1-2">
<div class="org-src-container">
<pre class="src src-matlab">imax = min<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span>length<span class="org-rainbow-delimiters-depth-3">(</span>data1.t<span class="org-rainbow-delimiters-depth-3">)</span>, length<span class="org-rainbow-delimiters-depth-3">(</span>data2.t<span class="org-rainbow-delimiters-depth-3">)</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
data1.t = data1.t<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">1</span><span class="org-type">:</span>imax<span class="org-rainbow-delimiters-depth-1">)</span>;
data1.x1 = data1.x1<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">1</span><span class="org-type">:</span>imax<span class="org-rainbow-delimiters-depth-1">)</span>;
data1.x2 = data1.x2<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">1</span><span class="org-type">:</span>imax<span class="org-rainbow-delimiters-depth-1">)</span>;
data2.t = data2.t<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">1</span><span class="org-type">:</span>imax<span class="org-rainbow-delimiters-depth-1">)</span>;
data2.x1 = data2.x1<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">1</span><span class="org-type">:</span>imax<span class="org-rainbow-delimiters-depth-1">)</span>;
data2.x2 = data2.x2<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">1</span><span class="org-type">:</span>imax<span class="org-rainbow-delimiters-depth-1">)</span>;
</pre>
</div>
</div>
</div>
<div id="outline-container-org7af64b7" class="outline-3">
<h3 id="org7af64b7"><span class="section-number-3">1.3</span> Time domain Data</h3>
<div class="outline-text-3" id="text-1-3">
<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>data1.t, data1.x1<span class="org-rainbow-delimiters-depth-1">)</span>;
plot<span class="org-rainbow-delimiters-depth-1">(</span>data2.t, data2.x1<span class="org-rainbow-delimiters-depth-1">)</span>;
hold off;
</pre>
</div>
<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>data1.t, data1.x2<span class="org-rainbow-delimiters-depth-1">)</span>;
plot<span class="org-rainbow-delimiters-depth-1">(</span>data2.t, data2.x2<span class="org-rainbow-delimiters-depth-1">)</span>
hold off;
</pre>
</div>
</div>
</div>
<div id="outline-container-orga48afa8" class="outline-3">
<h3 id="orga48afa8"><span class="section-number-3">1.4</span> ASD and Frequency domain data</h3>
<div class="outline-text-3" id="text-1-4">
<div class="org-src-container">
<pre class="src src-matlab">dt = data1.t<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-1">)</span> <span class="org-type">-</span> data1.t<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-1">)</span>;
Fs = <span class="org-highlight-numbers-number">1</span><span class="org-type">/</span>dt;
windows_psd = 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>dt<span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</span>;
</pre>
</div>
<div class="org-src-container">
<pre class="src src-matlab"><span class="org-rainbow-delimiters-depth-1">[</span>pxx1m, f<span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>data1.x1, windows_psd, <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>pxx1h, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>data1.x2, windows_psd, <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>pxx2m, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>data2.x1, windows_psd, <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>pxx2h, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>data2.x2, windows_psd, <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>
</div>
<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>pxx1m<span class="org-rainbow-delimiters-depth-2">)</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>pxx2m<span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</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">'PSD </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">m/s/sqrt</span><span class="org-string"><span class="org-rainbow-delimiters-depth-3">(</span></span><span class="org-string">Hz</span><span class="org-string"><span class="org-rainbow-delimiters-depth-3">)</span></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>
</pre>
</div>
<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>pxx1h<span class="org-rainbow-delimiters-depth-2">)</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>pxx2h<span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</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">'PSD </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">m/s/sqrt</span><span class="org-string"><span class="org-rainbow-delimiters-depth-3">(</span></span><span class="org-string">Hz</span><span class="org-string"><span class="org-rainbow-delimiters-depth-3">)</span></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>
</pre>
</div>
<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>pxx2m<span class="org-rainbow-delimiters-depth-2">)</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>pxx2h<span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</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">'PSD </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">m/s/sqrt</span><span class="org-string"><span class="org-rainbow-delimiters-depth-3">(</span></span><span class="org-string">Hz</span><span class="org-string"><span class="org-rainbow-delimiters-depth-3">)</span></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>
</pre>
</div>
<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, cumtrapz<span class="org-rainbow-delimiters-depth-2">(</span>f, pxx1m<span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</span>
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, cumtrapz<span class="org-rainbow-delimiters-depth-2">(</span>f, pxx2m<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-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>;
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">'CAS </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>
</pre>
</div>
</div>
</div>
</div>
</div>
<div id="postamble" class="status">
<p class="author">Author: Thomas Dehaeze</p>
<p class="date">Created: 2019-05-02 jeu. 14:11</p>
<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
</div>
</body>
</html>

162
huddle-test-geophones/index.html
View File

@ -3,10 +3,10 @@
"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
<head>
<!-- 2019-04-18 jeu. 17:24 -->
<!-- 2019-05-02 jeu. 14:11 -->
<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
<meta name="viewport" content="width=device-width, initial-scale=1" />
<title>SpeedGoat</title>
<title>Huddle Test of the L22 Geophones</title>
<meta name="generator" content="Org mode" />
<meta name="author" content="Thomas Dehaeze" />
<style type="text/css">
@ -271,41 +271,41 @@ for the JavaScript code in this tag.
</head>
<body>
<div id="content">
<h1 class="title">SpeedGoat</h1>
<h1 class="title">Huddle Test of the L22 Geophones</h1>
<div id="table-of-contents">
<h2>Table of Contents</h2>
<div id="text-table-of-contents">
<ul>
<li><a href="#org3e6baac">1. Experimental Setup</a></li>
<li><a href="#org924e227">2. Signal Processing</a>
<li><a href="#orge5c8cc5">1. Experimental Setup</a></li>
<li><a href="#org8b7c96e">2. Signal Processing</a>
<ul>
<li><a href="#org8f54945">2.1. Load data</a></li>
<li><a href="#org26953ea">2.2. Time Domain Data</a></li>
<li><a href="#orgea14a3e">2.3. Computation of the ASD of the measured voltage</a></li>
<li><a href="#org10d59fe">2.4. Scaling to take into account the sensibility of the geophone and the voltage amplifier</a></li>
<li><a href="#orgca371f4">2.5. Computation of the ASD of the velocity</a></li>
<li><a href="#orgd108d7b">2.6. Transfer function between the two geophones</a></li>
<li><a href="#orgd3b08ee">2.7. Estimation of the sensor noise</a></li>
<li><a href="#org7cb3283">2.1. Load data</a></li>
<li><a href="#org0a3a0d0">2.2. Time Domain Data</a></li>
<li><a href="#org89016b8">2.3. Computation of the ASD of the measured voltage</a></li>
<li><a href="#orga26e03c">2.4. Scaling to take into account the sensibility of the geophone and the voltage amplifier</a></li>
<li><a href="#orgfd3ab32">2.5. Computation of the ASD of the velocity</a></li>
<li><a href="#orgcd33ee8">2.6. Transfer function between the two geophones</a></li>
<li><a href="#org244b412">2.7. Estimation of the sensor noise</a></li>
</ul>
</li>
<li><a href="#orgdb15af9">3. Compare axis</a>
<li><a href="#org6beee86">3. Compare axis</a>
<ul>
<li><a href="#orgba2e891">3.1. Load data</a></li>
<li><a href="#org4fa1ea3">3.2. Compare PSD</a></li>
<li><a href="#org413e0a4">3.3. Compare TF</a></li>
<li><a href="#org53cf537">3.1. Load data</a></li>
<li><a href="#org8e12607">3.2. Compare PSD</a></li>
<li><a href="#org90e5861">3.3. Compare TF</a></li>
</ul>
</li>
<li><a href="#org47dea1f">4. Appendix</a>
<li><a href="#org7c0ad67">4. Appendix</a>
<ul>
<li><a href="#orgc970c0a">4.1. Computation of coherence from PSD and CSD</a></li>
<li><a href="#orgd75efe3">4.1. Computation of coherence from PSD and CSD</a></li>
</ul>
</li>
</ul>
</div>
</div>
<div id="outline-container-org3e6baac" class="outline-2">
<h2 id="org3e6baac"><span class="section-number-2">1</span> Experimental Setup</h2>
<div id="outline-container-orge5c8cc5" class="outline-2">
<h2 id="orge5c8cc5"><span class="section-number-2">1</span> Experimental Setup</h2>
<div class="outline-text-2" id="text-1">
<p>
Two L22 geophones are used.
@ -319,14 +319,14 @@ The voltage amplifiers include a low pass filter with a cut-off frequency at 1kH
</p>
<div id="org1834fe1" class="figure">
<div id="org32e95c2" class="figure">
<p><img src="./figs/setup.jpg" alt="setup.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 1: </span>Setup</p>
</div>
<div id="orgd38e8c5" class="figure">
<div id="orgdd8ca8c" class="figure">
<p><img src="./figs/geophones.jpg" alt="geophones.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 2: </span>Geophones</p>
@ -334,8 +334,8 @@ The voltage amplifiers include a low pass filter with a cut-off frequency at 1kH
</div>
</div>
<div id="outline-container-org924e227" class="outline-2">
<h2 id="org924e227"><span class="section-number-2">2</span> Signal Processing</h2>
<div id="outline-container-org8b7c96e" class="outline-2">
<h2 id="org8b7c96e"><span class="section-number-2">2</span> Signal Processing</h2>
<div class="outline-text-2" id="text-2">
<p>
The Matlab computing file for this part is accessible <a href="signal_processing.m">here</a>.
@ -343,8 +343,8 @@ The <code>mat</code> file containing the measurement data is accessible <a href=
</p>
</div>
<div id="outline-container-org8f54945" class="outline-3">
<h3 id="org8f54945"><span class="section-number-3">2.1</span> Load data</h3>
<div id="outline-container-org7cb3283" class="outline-3">
<h3 id="org7cb3283"><span class="section-number-3">2.1</span> Load data</h3>
<div class="outline-text-3" id="text-2-1">
<p>
We load the data of the z axis of two geophones.
@ -358,8 +358,8 @@ dt = t<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-high
</div>
</div>
<div id="outline-container-org26953ea" class="outline-3">
<h3 id="org26953ea"><span class="section-number-3">2.2</span> Time Domain Data</h3>
<div id="outline-container-org0a3a0d0" class="outline-3">
<h3 id="org0a3a0d0"><span class="section-number-3">2.2</span> Time Domain Data</h3>
<div class="outline-text-3" id="text-2-2">
<div class="org-src-container">
<pre class="src src-matlab"><span class="org-type">figure</span>;
@ -374,7 +374,7 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
<div id="orge43c98a" class="figure">
<div id="org09ad879" class="figure">
<p><img src="figs/data_time_domain.png" alt="data_time_domain.png" />
</p>
<p><span class="figure-number">Figure 3: </span>Time domain Data</p>
@ -394,7 +394,7 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
<div id="orgb1d4c24" class="figure">
<div id="org04c8d74" class="figure">
<p><img src="figs/data_time_domain_zoom.png" alt="data_time_domain_zoom.png" />
</p>
<p><span class="figure-number">Figure 4: </span>Time domain Data - Zoom</p>
@ -402,8 +402,8 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
</div>
<div id="outline-container-orgea14a3e" class="outline-3">
<h3 id="orgea14a3e"><span class="section-number-3">2.3</span> Computation of the ASD of the measured voltage</h3>
<div id="outline-container-org89016b8" class="outline-3">
<h3 id="org89016b8"><span class="section-number-3">2.3</span> Computation of the ASD of the measured voltage</h3>
<div class="outline-text-3" id="text-2-3">
<p>
We first define the parameters for the frequency domain analysis.
@ -422,12 +422,12 @@ Fs = <span class="org-highlight-numbers-number">1</span><span class="org-type">/
</div>
</div>
<div id="outline-container-org10d59fe" class="outline-3">
<h3 id="org10d59fe"><span class="section-number-3">2.4</span> Scaling to take into account the sensibility of the geophone and the voltage amplifier</h3>
<div id="outline-container-orga26e03c" class="outline-3">
<h3 id="orga26e03c"><span class="section-number-3">2.4</span> Scaling to take into account the sensibility of the geophone and the voltage amplifier</h3>
<div class="outline-text-3" id="text-2-4">
<p>
The Geophone used are L22.
Their sensibility are shown on figure <a href="#org542fee1">5</a>.
Their sensibility are shown on figure <a href="#orgb86dfe6">5</a>.
</p>
<div class="org-src-container">
@ -438,7 +438,7 @@ S = <span class="org-rainbow-delimiters-depth-1">(</span>s<span class="org-type"
</div>
<div id="org542fee1" class="figure">
<div id="orgb86dfe6" class="figure">
<p><img src="figs/geophone_sensibility.png" alt="geophone_sensibility.png" />
</p>
<p><span class="figure-number">Figure 5: </span>Sensibility of the Geophone</p>
@ -469,11 +469,11 @@ We further divide the result by the sensibility of the Geophone to obtain the AS
</div>
</div>
<div id="outline-container-orgca371f4" class="outline-3">
<h3 id="orgca371f4"><span class="section-number-3">2.5</span> Computation of the ASD of the velocity</h3>
<div id="outline-container-orgfd3ab32" class="outline-3">
<h3 id="orgfd3ab32"><span class="section-number-3">2.5</span> Computation of the ASD of the velocity</h3>
<div class="outline-text-3" id="text-2-5">
<p>
The ASD of the measured velocity is shown on figure <a href="#orga342d1d">6</a>.
The ASD of the measured velocity is shown on figure <a href="#org204dcef">6</a>.
</p>
<div class="org-src-container">
@ -490,14 +490,14 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
<div id="orga342d1d" class="figure">
<div id="org204dcef" class="figure">
<p><img src="figs/psd_velocity.png" alt="psd_velocity.png" />
</p>
<p><span class="figure-number">Figure 6: </span>Spectral density of the velocity</p>
</div>
<p>
We also plot the ASD in displacement (figure <a href="#orgb224e73">7</a>);
We also plot the ASD in displacement (figure <a href="#org9967b3b">7</a>);
</p>
<div class="org-src-container">
@ -513,7 +513,7 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
<div id="orgb224e73" class="figure">
<div id="org9967b3b" class="figure">
<p><img src="figs/asd_displacement.png" alt="asd_displacement.png" />
</p>
<p><span class="figure-number">Figure 7: </span>Amplitude Spectral Density of the displacement as measured by the geophones</p>
@ -521,16 +521,16 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
</div>
<div id="outline-container-orgd108d7b" class="outline-3">
<h3 id="orgd108d7b"><span class="section-number-3">2.6</span> Transfer function between the two geophones</h3>
<div id="outline-container-orgcd33ee8" class="outline-3">
<h3 id="orgcd33ee8"><span class="section-number-3">2.6</span> Transfer function between the two geophones</h3>
<div class="outline-text-3" id="text-2-6">
<p>
We here compute the transfer function from one geophone to the other.
The result is shown on figure <a href="#org9006692">8</a>.
The result is shown on figure <a href="#org5faacba">8</a>.
</p>
<p>
We also compute the coherence between the two signals (figure <a href="#org9200232">9</a>).
We also compute the coherence between the two signals (figure <a href="#orgf374e25">9</a>).
</p>
<div class="org-src-container">
@ -539,7 +539,7 @@ We also compute the coherence between the two signals (figure <a href="#org92002
</div>
<div id="org9006692" class="figure">
<div id="org5faacba" class="figure">
<p><img src="figs/tf_geophones.png" alt="tf_geophones.png" />
</p>
<p><span class="figure-number">Figure 8: </span>Estimated transfer function between the two geophones</p>
@ -551,7 +551,7 @@ We also compute the coherence between the two signals (figure <a href="#org92002
</div>
<div id="org9200232" class="figure">
<div id="orgf374e25" class="figure">
<p><img src="figs/coh_geophones.png" alt="coh_geophones.png" />
</p>
<p><span class="figure-number">Figure 9: </span>Cohererence between the signals of the two geophones</p>
@ -559,8 +559,8 @@ We also compute the coherence between the two signals (figure <a href="#org92002
</div>
</div>
<div id="outline-container-orgd3b08ee" class="outline-3">
<h3 id="orgd3b08ee"><span class="section-number-3">2.7</span> Estimation of the sensor noise</h3>
<div id="outline-container-org244b412" class="outline-3">
<h3 id="org244b412"><span class="section-number-3">2.7</span> Estimation of the sensor noise</h3>
<div class="outline-text-3" id="text-2-7">
<p>
The technique to estimate the sensor noise is taken from <a class='org-ref-reference' href="#barzilai98_techn_measur_noise_sensor_presen">barzilai98_techn_measur_noise_sensor_presen</a>.
@ -590,11 +590,11 @@ where:
</ul>
<p>
The <code>mscohere</code> function is compared with this formula on Appendix (section <a href="#org550fd32">4.1</a>), it is shown that it is identical.
The <code>mscohere</code> function is compared with this formula on Appendix (section <a href="#orge316ad4">4.1</a>), it is shown that it is identical.
</p>
<p>
Figure <a href="#org72885b4">10</a> illustrate a block diagram model of the system used to determine the sensor noise of the geophone.
Figure <a href="#org57a5459">10</a> illustrate a block diagram model of the system used to determine the sensor noise of the geophone.
</p>
<p>
@ -606,7 +606,7 @@ Each sensor has noise \(N\) and \(M\).
</p>
<div id="org72885b4" class="figure">
<div id="org57a5459" class="figure">
<p><img src="figs/huddle-test.png" alt="huddle-test.png" />
</p>
<p><span class="figure-number">Figure 10: </span>Huddle test block diagram</p>
@ -614,14 +614,14 @@ Each sensor has noise \(N\) and \(M\).
<p>
We here assume that each sensor has the same magnitude of instrumental noise (\(N = M\)).
We also assume that \(H_1 = H_2 = 1\).
We also assume that \(S_1 = S_2 = 1\).
</p>
<p>
We then obtain:
</p>
\begin{equation}
\label{orgb78feac}
\label{org5b2976f}
\gamma_{XY}^2(\omega) = \frac{1}{1 + 2 \left( \frac{|G_N(\omega)|}{|G_U(\omega)|} \right) + \left( \frac{|G_N(\omega)|}{|G_U(\omega)|} \right)^2}
\end{equation}
@ -629,23 +629,23 @@ We then obtain:
Since the input signal \(U\) and the instrumental noise \(N\) are incoherent:
</p>
\begin{equation}
\label{org8419580}
\label{orgb493a2c}
|G_X(\omega)| = |G_N(\omega)| + |G_U(\omega)|
\end{equation}
<p>
From equations \eqref{orgb78feac} and \eqref{org8419580}, we finally obtain
From equations \eqref{org5b2976f} and \eqref{orgb493a2c}, we finally obtain
</p>
<div class="important">
\begin{equation}
\label{orgbe05867}
\label{org4f59d30}
|G_N(\omega)| = |G_X(\omega)| \left( 1 - \sqrt{\gamma_{XY}^2(\omega)} \right)
\end{equation}
</div>
<p>
The instrumental noise is computed below. The result in V<sup>2</sup>/Hz is shown on figure <a href="#org40db312">11</a>.
The instrumental noise is computed below. The result in V<sup>2</sup>/Hz is shown on figure <a href="#org9584668">11</a>.
</p>
<div class="org-src-container">
<pre class="src src-matlab">pxxN = pxx1<span class="org-type">.*</span><span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">1</span> <span class="org-type">-</span> coh12<span class="org-rainbow-delimiters-depth-1">)</span>;
@ -666,14 +666,14 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
<div id="org40db312" class="figure">
<div id="org9584668" class="figure">
<p><img src="figs/intrumental_noise_V.png" alt="intrumental_noise_V.png" />
</p>
<p><span class="figure-number">Figure 11: </span>Instrumental Noise and Measurement in \(V^2/Hz\)</p>
</div>
<p>
This is then further converted into velocity and compared with the ground velocity measurement. (figure <a href="#org2a811b0">12</a>)
This is then further converted into velocity and compared with the ground velocity measurement. (figure <a href="#orgdd66b8f">12</a>)
</p>
<div class="org-src-container">
<pre class="src src-matlab"><span class="org-type">figure</span>;
@ -689,7 +689,7 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
<div id="org2a811b0" class="figure">
<div id="orgdd66b8f" class="figure">
<p><img src="figs/intrumental_noise_velocity.png" alt="intrumental_noise_velocity.png" />
</p>
<p><span class="figure-number">Figure 12: </span>Instrumental Noise and Measurement in \(m/s/\sqrt{Hz}\)</p>
@ -698,8 +698,8 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
</div>
<div id="outline-container-orgdb15af9" class="outline-2">
<h2 id="orgdb15af9"><span class="section-number-2">3</span> Compare axis</h2>
<div id="outline-container-org6beee86" class="outline-2">
<h2 id="org6beee86"><span class="section-number-2">3</span> Compare axis</h2>
<div class="outline-text-2" id="text-3">
<p>
The Matlab computing file for this part is accessible <a href="compare_axis.m">here</a>.
@ -712,8 +712,8 @@ The <code>mat</code> files containing the measurement data are accessible with t
</ul>
</div>
<div id="outline-container-orgba2e891" class="outline-3">
<h3 id="orgba2e891"><span class="section-number-3">3.1</span> Load data</h3>
<div id="outline-container-org53cf537" class="outline-3">
<h3 id="org53cf537"><span class="section-number-3">3.1</span> Load data</h3>
<div class="outline-text-3" id="text-3-1">
<p>
We first load the data for the three axis.
@ -727,8 +727,8 @@ north = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="or
</div>
</div>
<div id="outline-container-org4fa1ea3" class="outline-3">
<h3 id="org4fa1ea3"><span class="section-number-3">3.2</span> Compare PSD</h3>
<div id="outline-container-org8e12607" class="outline-3">
<h3 id="org8e12607"><span class="section-number-3">3.2</span> Compare PSD</h3>
<div class="outline-text-3" id="text-3-2">
<p>
The PSD for each axis of the two geophones are computed.
@ -746,10 +746,10 @@ The PSD for each axis of the two geophones are computed.
</div>
<p>
We compare them. The result is shown on figure <a href="#org8d0a71b">13</a>.
We compare them. The result is shown on figure <a href="#org4b31119">13</a>.
</p>
<div id="org8d0a71b" class="figure">
<div id="org4b31119" class="figure">
<p><img src="figs/compare_axis_psd.png" alt="compare_axis_psd.png" />
</p>
<p><span class="figure-number">Figure 13: </span>Compare the measure PSD of the two geophones for the three axis</p>
@ -757,12 +757,12 @@ We compare them. The result is shown on figure <a href="#org8d0a71b">13</a>.
</div>
</div>
<div id="outline-container-org413e0a4" class="outline-3">
<h3 id="org413e0a4"><span class="section-number-3">3.3</span> Compare TF</h3>
<div id="outline-container-org90e5861" class="outline-3">
<h3 id="org90e5861"><span class="section-number-3">3.3</span> Compare TF</h3>
<div class="outline-text-3" id="text-3-3">
<p>
The transfer functions from one geophone to the other are also computed for each axis.
The result is shown on figure <a href="#org167ce04">14</a>.
The result is shown on figure <a href="#org76b2565">14</a>.
</p>
<div class="org-src-container">
@ -773,7 +773,7 @@ The result is shown on figure <a href="#org167ce04">14</a>.
</div>
<div id="org167ce04" class="figure">
<div id="org76b2565" class="figure">
<p><img src="figs/compare_tf_axis.png" alt="compare_tf_axis.png" />
</p>
<p><span class="figure-number">Figure 14: </span>Compare the transfer function from one geophone to the other for the 3 axis</p>
@ -782,15 +782,15 @@ The result is shown on figure <a href="#org167ce04">14</a>.
</div>
</div>
<div id="outline-container-org47dea1f" class="outline-2">
<h2 id="org47dea1f"><span class="section-number-2">4</span> Appendix</h2>
<div id="outline-container-org7c0ad67" class="outline-2">
<h2 id="org7c0ad67"><span class="section-number-2">4</span> Appendix</h2>
<div class="outline-text-2" id="text-4">
</div>
<div id="outline-container-orgc970c0a" class="outline-3">
<h3 id="orgc970c0a"><span class="section-number-3">4.1</span> Computation of coherence from PSD and CSD</h3>
<div id="outline-container-orgd75efe3" class="outline-3">
<h3 id="orgd75efe3"><span class="section-number-3">4.1</span> Computation of coherence from PSD and CSD</h3>
<div class="outline-text-3" id="text-4-1">
<p>
<a id="org550fd32"></a>
<a id="orge316ad4"></a>
</p>
<div class="org-src-container">
<pre class="src src-matlab">load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_001.mat', 't', 'x1', 'x2'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
@ -821,7 +821,7 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
<div id="org229a280" class="figure">
<div id="org5c602bf" class="figure">
<p><img src="figs/comp_coherence_formula.png" alt="comp_coherence_formula.png" />
</p>
<p><span class="figure-number">Figure 15: </span>Comparison of <code>mscohere</code> and manual computation</p>
@ -839,7 +839,7 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
<div id="postamble" class="status">
<p class="author">Author: Thomas Dehaeze</p>
<p class="date">Created: 2019-04-18 jeu. 17:24</p>
<p class="date">Created: 2019-05-02 jeu. 14:11</p>
<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
</div>
</body>

20
index.html
View File

@ -3,7 +3,7 @@
"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
<head>
<!-- 2019-04-17 mer. 18:25 -->
<!-- 2019-05-02 jeu. 14:11 -->
<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
<meta name="viewport" content="width=device-width, initial-scale=1" />
<title>SpeedGoat</title>
@ -250,27 +250,17 @@ for the JavaScript code in this tag.
<body>
<div id="content">
<h1 class="title">SpeedGoat</h1>
<div id="table-of-contents">
<h2>Table of Contents</h2>
<div id="text-table-of-contents">
<ul>
<li><a href="#orgc3dbb11">1. Folders</a></li>
</ul>
</div>
</div>
<div id="outline-container-orgc3dbb11" class="outline-2">
<h2 id="orgc3dbb11"><span class="section-number-2">1</span> Folders</h2>
<div class="outline-text-2" id="text-1">
<ul class="org-ul">
<li><a href="huddle-test-geophones/index.html">Huddle Test - Geophones</a></li>
<li><a href="disturbance-measurement/index.html">Disturbance Measurement</a></li>
<li><a href="slip-ring-test/index.html">Slip Ring - Noise measurement</a></li>
<li><a href="static-measurements/index.html">Control System Measurement</a></li>
</ul>
</div>
</div>
</div>
<div id="postamble" class="status">
<p class="author">Author: Thomas Dehaeze</p>
<p class="date">Created: 2019-04-17 mer. 18:25</p>
<p class="date">Created: 2019-05-02 jeu. 14:11</p>
<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
</div>
</body>

5
index.org
View File

@ -11,6 +11,7 @@
#+HTML_HEAD: <script type="text/javascript" src="./js/readtheorg.js"></script>
:END:
* Folders
- [[file:huddle-test-geophones/index.org][Huddle Test - Geophones]]
- [[file:disturbance-measurement/index.org][Disturbance Measurement]]
- [[file:slip-ring-test/index.org][Slip Ring - Noise measurement]]
- [[file:static-measurements/index.org][Control System Measurement]]

36
slip-ring-test/index.html
View File

@ -3,7 +3,7 @@
"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
<head>
<!-- 2019-05-02 jeu. 14:08 -->
<!-- 2019-05-02 jeu. 14:12 -->
<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
<meta name="viewport" content="width=device-width, initial-scale=1" />
<title>Effect of the rotation of the Slip-Ring</title>
@ -254,16 +254,16 @@ for the JavaScript code in this tag.
<h2>Table of Contents</h2>
<div id="text-table-of-contents">
<ul>
<li><a href="#org6cf5814">1. Measurement Description</a></li>
<li><a href="#orgd40e7ef">2. Load data</a></li>
<li><a href="#org4ee458b">3. Analysis</a></li>
<li><a href="#org7c09cda">4. Conclusion</a></li>
<li><a href="#org4210b03">1. Measurement Description</a></li>
<li><a href="#org28261aa">2. Load data</a></li>
<li><a href="#org79cb6de">3. Analysis</a></li>
<li><a href="#org30f1cc1">4. Conclusion</a></li>
</ul>
</div>
</div>
<div id="outline-container-org6cf5814" class="outline-2">
<h2 id="org6cf5814"><span class="section-number-2">1</span> Measurement Description</h2>
<div id="outline-container-org4210b03" class="outline-2">
<h2 id="org4210b03"><span class="section-number-2">1</span> Measurement Description</h2>
<div class="outline-text-2" id="text-1">
<p>
Random Signal is generated by one DAC of the SpeedGoat.
@ -352,8 +352,8 @@ Here, the rotation speed of the Slip-Ring is set to 1rpm.
</div>
</div>
<div id="outline-container-orgd40e7ef" class="outline-2">
<h2 id="orgd40e7ef"><span class="section-number-2">2</span> Load data</h2>
<div id="outline-container-org28261aa" class="outline-2">
<h2 id="org28261aa"><span class="section-number-2">2</span> Load data</h2>
<div class="outline-text-2" id="text-2">
<p>
We load the data of the z axis of two geophones.
@ -366,11 +366,11 @@ sr_on = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="o
</div>
</div>
<div id="outline-container-org4ee458b" class="outline-2">
<h2 id="org4ee458b"><span class="section-number-2">3</span> Analysis</h2>
<div id="outline-container-org79cb6de" class="outline-2">
<h2 id="org79cb6de"><span class="section-number-2">3</span> Analysis</h2>
<div class="outline-text-2" id="text-3">
<p>
Let's first look at the signal produced by the DAC (figure <a href="#org7a29853">1</a>).
Let's first look at the signal produced by the DAC (figure <a href="#orgf3a4e2b">1</a>).
</p>
<div class="org-src-container">
@ -384,14 +384,14 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
<div id="org7a29853" class="figure">
<div id="orgf3a4e2b" class="figure">
<p><img src="figs/random_signal.png" alt="random_signal.png" />
</p>
<p><span class="figure-number">Figure 1: </span>Random signal produced by the DAC</p>
</div>
<p>
We now look at the difference between the signal directly measured by the ADC and the signal that goes through the slip-ring (figure <a href="#org88cd8db">2</a>).
We now look at the difference between the signal directly measured by the ADC and the signal that goes through the slip-ring (figure <a href="#org07de8c8">2</a>).
</p>
<div class="org-src-container">
@ -407,7 +407,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
<div id="org88cd8db" class="figure">
<div id="org07de8c8" class="figure">
<p><img src="figs/slipring_comp_signals.png" alt="slipring_comp_signals.png" />
</p>
<p><span class="figure-number">Figure 2: </span>Alteration of the signal when the slip-ring is turning</p>
@ -415,8 +415,8 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
</div>
<div id="outline-container-org7c09cda" class="outline-2">
<h2 id="org7c09cda"><span class="section-number-2">4</span> Conclusion</h2>
<div id="outline-container-org30f1cc1" class="outline-2">
<h2 id="org30f1cc1"><span class="section-number-2">4</span> Conclusion</h2>
<div class="outline-text-2" id="text-4">
<div class="note">
<p>
@ -433,7 +433,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
<div id="postamble" class="status">
<p class="author">Author: Thomas Dehaeze</p>
<p class="date">Created: 2019-05-02 jeu. 14:08</p>
<p class="date">Created: 2019-05-02 jeu. 14:12</p>
<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
</div>
</body>

218
static-measurements/index.html
View File

@ -3,7 +3,7 @@
"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
<head>
<!-- 2019-05-02 jeu. 14:06 -->
<!-- 2019-05-02 jeu. 14:12 -->
<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
<meta name="viewport" content="width=device-width, initial-scale=1" />
<title>Measurements</title>
@ -276,43 +276,43 @@ for the JavaScript code in this tag.
<h2>Table of Contents</h2>
<div id="text-table-of-contents">
<ul>
<li><a href="#org5efded7">1. Effect of the Slip-Ring on the signal</a>
<li><a href="#org1ec9040">1. Effect of the Slip-Ring on the signal</a>
<ul>
<li><a href="#org05d3b24">1.1. Experimental Setup</a></li>
<li><a href="#org77b1246">1.2. Load data</a></li>
<li><a href="#orgd60d3c7">1.3. Analysis - Time Domain</a></li>
<li><a href="#orgc8caaf3">1.4. Analysis - Frequency Domain</a></li>
<li><a href="#org131b000">1.5. Conclusion</a></li>
<li><a href="#orga86437c">1.1. Experimental Setup</a></li>
<li><a href="#orgd5025b8">1.2. Load data</a></li>
<li><a href="#org733b9d4">1.3. Analysis - Time Domain</a></li>
<li><a href="#org561e53f">1.4. Analysis - Frequency Domain</a></li>
<li><a href="#orge6dd817">1.5. Conclusion</a></li>
</ul>
</li>
<li><a href="#org4762833">2. Effect of all the control systems on the Sample vibrations</a>
<li><a href="#orgb89af3a">2. Effect of all the control systems on the Sample vibrations</a>
<ul>
<li><a href="#org085a657">2.1. Experimental Setup</a></li>
<li><a href="#org0368a1a">2.2. Load data</a></li>
<li><a href="#org465131e">2.3. Analysis - Time Domain</a></li>
<li><a href="#org41c1a51">2.4. Analysis - Frequency Domain</a>
<li><a href="#org0b19b98">2.1. Experimental Setup</a></li>
<li><a href="#org3fe03db">2.2. Load data</a></li>
<li><a href="#org3fdec7a">2.3. Analysis - Time Domain</a></li>
<li><a href="#org6b5f0ed">2.4. Analysis - Frequency Domain</a>
<ul>
<li><a href="#org5416fa1">2.4.1. Vibrations at the sample location</a></li>
<li><a href="#org64cfb89">2.4.2. Vibrations on the marble</a></li>
<li><a href="#orgfda4e64">2.4.1. Vibrations at the sample location</a></li>
<li><a href="#orgc2f810b">2.4.2. Vibrations on the marble</a></li>
</ul>
</li>
<li><a href="#org42553b0">2.5. Effect of the control system on the transmissibility from ground to sample</a></li>
<li><a href="#org9ad50de">2.6. Conclusion</a></li>
<li><a href="#org43b187d">2.5. Effect of the control system on the transmissibility from ground to sample</a></li>
<li><a href="#org8ffc99d">2.6. Conclusion</a></li>
</ul>
</li>
<li><a href="#org089e6c4">3. Transfer function from one stage to the other</a>
<li><a href="#orge358e9f">3. Transfer function from one stage to the other</a>
<ul>
<li><a href="#org5af1ad1">3.1. Experimental Setup</a>
<li><a href="#org8671c9c">3.1. Experimental Setup</a>
<ul>
<li><a href="#org266aa09">3.1.1. From Marble to Ty - <code>mat/meas_010.mat</code></a></li>
<li><a href="#org51f3cb6">3.1.2. From Marble to Ry - <code>mat/meas_011.mat</code></a></li>
<li><a href="#orgd9c5a6f">3.1.3. From Ty to Ry - <code>mat/meas_012.mat</code></a></li>
<li><a href="#orgb8620d5">3.1.1. From Marble to Ty - <code>mat/meas_010.mat</code></a></li>
<li><a href="#org3ca3b63">3.1.2. From Marble to Ry - <code>mat/meas_011.mat</code></a></li>
<li><a href="#orgff3cde2">3.1.3. From Ty to Ry - <code>mat/meas_012.mat</code></a></li>
</ul>
</li>
<li><a href="#org3523b58">3.2. Load data</a></li>
<li><a href="#org2c086d0">3.3. Analysis - Time Domain</a></li>
<li><a href="#org63bd941">3.4. Analysis - Frequency Domain</a></li>
<li><a href="#orgc82b7b0">3.5. Conclusion</a></li>
<li><a href="#org185b0f5">3.2. Load data</a></li>
<li><a href="#org1dfb0b9">3.3. Analysis - Time Domain</a></li>
<li><a href="#org388dc28">3.4. Analysis - Frequency Domain</a></li>
<li><a href="#org26a82a2">3.5. Conclusion</a></li>
</ul>
</li>
</ul>
@ -328,23 +328,23 @@ For all the measurements shown here:
<li>the voltage amplifiers include a low pass filter with a cut-off frequency at 1kHz</li>
</ul>
<div id="outline-container-org5efded7" class="outline-2">
<h2 id="org5efded7"><span class="section-number-2">1</span> Effect of the Slip-Ring on the signal</h2>
<div id="outline-container-org1ec9040" class="outline-2">
<h2 id="org1ec9040"><span class="section-number-2">1</span> Effect of the Slip-Ring on the signal</h2>
<div class="outline-text-2" id="text-1">
</div>
<div id="outline-container-org05d3b24" class="outline-3">
<h3 id="org05d3b24"><span class="section-number-3">1.1</span> Experimental Setup</h3>
<div id="outline-container-orga86437c" class="outline-3">
<h3 id="orga86437c"><span class="section-number-3">1.1</span> Experimental Setup</h3>
<div class="outline-text-3" id="text-1-1">
<p>
Two measurements are made with the control systems of all the stages turned OFF.
</p>
<p>
One geophone is located on the marble while the other is located at the sample location (figure <a href="#orgd14e0b4">1</a>).
One geophone is located on the marble while the other is located at the sample location (figure <a href="#org5ef91e0">1</a>).
</p>
<div id="orgd14e0b4" class="figure">
<div id="org5ef91e0" class="figure">
<p><img src="./img/IMG_20190430_112615.jpg" alt="IMG_20190430_112615.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 1: </span>Experimental Setup</p>
@ -417,8 +417,8 @@ Each of the measurement <code>mat</code> file contains one <code>data</code> arr
</div>
</div>
<div id="outline-container-org77b1246" class="outline-3">
<h3 id="org77b1246"><span class="section-number-3">1.2</span> Load data</h3>
<div id="outline-container-orgd5025b8" class="outline-3">
<h3 id="orgd5025b8"><span class="section-number-3">1.2</span> Load data</h3>
<div class="outline-text-3" id="text-1-2">
<p>
We load the data of the z axis of two geophones.
@ -432,11 +432,11 @@ d9 = load<span class="org-rainbow-delimiters-depth-1">(</span>'mat<span class="o
</div>
</div>
<div id="outline-container-orgd60d3c7" class="outline-3">
<h3 id="orgd60d3c7"><span class="section-number-3">1.3</span> Analysis - Time Domain</h3>
<div id="outline-container-org733b9d4" class="outline-3">
<h3 id="org733b9d4"><span class="section-number-3">1.3</span> Analysis - Time Domain</h3>
<div class="outline-text-3" id="text-1-3">
<p>
First, we compare the time domain signals for the two experiments (figure <a href="#org6ba0e72">2</a>).
First, we compare the time domain signals for the two experiments (figure <a href="#orgc28e2b2">2</a>).
</p>
@ -453,7 +453,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
<div id="org6ba0e72" class="figure">
<div id="orgc28e2b2" class="figure">
<p><img src="figs/slipring_time.png" alt="slipring_time.png" />
</p>
<p><span class="figure-number">Figure 2: </span>Effect of the Slip-Ring on the measured signal - Time domain</p>
@ -461,11 +461,11 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
</div>
<div id="outline-container-orgc8caaf3" class="outline-3">
<h3 id="orgc8caaf3"><span class="section-number-3">1.4</span> Analysis - Frequency Domain</h3>
<div id="outline-container-org561e53f" class="outline-3">
<h3 id="org561e53f"><span class="section-number-3">1.4</span> Analysis - Frequency Domain</h3>
<div class="outline-text-3" id="text-1-4">
<p>
We then compute the Power Spectral Density of the two signals and we compare them (figure <a href="#org3e50fec">3</a>).
We then compute the Power Spectral Density of the two signals and we compare them (figure <a href="#orgcc1d3ae">3</a>).
</p>
<div class="org-src-container">
<pre class="src src-matlab">dt = d8<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> d8<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>;
@ -496,7 +496,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
<div id="org3e50fec" class="figure">
<div id="orgcc1d3ae" class="figure">
<p><img src="figs/slipring_asd.png" alt="slipring_asd.png" />
</p>
<p><span class="figure-number">Figure 3: </span>Effect of the Slip-Ring on the measured signal - Frequency domain</p>
@ -504,8 +504,8 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
</div>
<div id="outline-container-org131b000" class="outline-3">
<h3 id="org131b000"><span class="section-number-3">1.5</span> Conclusion</h3>
<div id="outline-container-orge6dd817" class="outline-3">
<h3 id="orge6dd817"><span class="section-number-3">1.5</span> Conclusion</h3>
<div class="outline-text-3" id="text-1-5">
<div class="important">
<ul class="org-ul">
@ -529,12 +529,12 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
</div>
<div id="outline-container-org4762833" class="outline-2">
<h2 id="org4762833"><span class="section-number-2">2</span> Effect of all the control systems on the Sample vibrations</h2>
<div id="outline-container-orgb89af3a" class="outline-2">
<h2 id="orgb89af3a"><span class="section-number-2">2</span> Effect of all the control systems on the Sample vibrations</h2>
<div class="outline-text-2" id="text-2">
</div>
<div id="outline-container-org085a657" class="outline-3">
<h3 id="org085a657"><span class="section-number-3">2.1</span> Experimental Setup</h3>
<div id="outline-container-org0b19b98" class="outline-3">
<h3 id="org0b19b98"><span class="section-number-3">2.1</span> Experimental Setup</h3>
<div class="outline-text-3" id="text-2-1">
<p>
We here measure the signals of two geophones:
@ -553,7 +553,7 @@ First, all the control systems are turned ON, then, they are turned one by one.
Each measurement are done during 50s.
</p>
<table id="org6235ad0" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<table id="org0b1da98" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<caption class="t-above"><span class="table-number">Table 1:</span> Summary of the measurements and the states of the control systems</caption>
<colgroup>
@ -673,8 +673,8 @@ Each of the <code>mat</code> file contains one array <code>data</code> with 3 co
</div>
</div>
<div id="outline-container-org0368a1a" class="outline-3">
<h3 id="org0368a1a"><span class="section-number-3">2.2</span> Load data</h3>
<div id="outline-container-org3fe03db" class="outline-3">
<h3 id="org3fe03db"><span class="section-number-3">2.2</span> Load data</h3>
<div class="outline-text-3" id="text-2-2">
<p>
We load the data of the z axis of two geophones.
@ -691,15 +691,15 @@ d8 = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-s
</div>
</div>
<div id="outline-container-org465131e" class="outline-3">
<h3 id="org465131e"><span class="section-number-3">2.3</span> Analysis - Time Domain</h3>
<div id="outline-container-org3fdec7a" class="outline-3">
<h3 id="org3fdec7a"><span class="section-number-3">2.3</span> Analysis - Time Domain</h3>
<div class="outline-text-3" id="text-2-3">
<p>
First, we can look at the time domain data and compare all the measurements:
</p>
<ul class="org-ul">
<li>comparison for the geophone at the sample location (figure <a href="#org335e162">4</a>)</li>
<li>comparison for the geophone on the granite (figure <a href="#orgbe9208d">5</a>)</li>
<li>comparison for the geophone at the sample location (figure <a href="#org96fa0ed">4</a>)</li>
<li>comparison for the geophone on the granite (figure <a href="#org9f51b4a">5</a>)</li>
</ul>
<div class="org-src-container">
@ -719,7 +719,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
<div id="org335e162" class="figure">
<div id="org96fa0ed" class="figure">
<p><img src="figs/time_domain_sample.png" alt="time_domain_sample.png" />
</p>
<p><span class="figure-number">Figure 4: </span>Comparison of the time domain data when turning off the control system of the stages - Geophone at the sample location</p>
@ -743,7 +743,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
<div id="orgbe9208d" class="figure">
<div id="org9f51b4a" class="figure">
<p><img src="figs/time_domain_marble.png" alt="time_domain_marble.png" />
</p>
<p><span class="figure-number">Figure 5: </span>Comparison of the time domain data when turning off the control system of the stages - Geophone on the marble</p>
@ -751,8 +751,8 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
</div>
<div id="outline-container-org41c1a51" class="outline-3">
<h3 id="org41c1a51"><span class="section-number-3">2.4</span> Analysis - Frequency Domain</h3>
<div id="outline-container-org6b5f0ed" class="outline-3">
<h3 id="org6b5f0ed"><span class="section-number-3">2.4</span> Analysis - Frequency Domain</h3>
<div class="outline-text-3" id="text-2-4">
<div class="org-src-container">
<pre class="src src-matlab">dt = d3<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> d3<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>;
@ -763,8 +763,8 @@ win = hanning<span class="org-rainbow-delimiters-depth-1">(</span>ceil<span clas
</div>
</div>
<div id="outline-container-org5416fa1" class="outline-4">
<h4 id="org5416fa1"><span class="section-number-4">2.4.1</span> Vibrations at the sample location</h4>
<div id="outline-container-orgfda4e64" class="outline-4">
<h4 id="orgfda4e64"><span class="section-number-4">2.4.1</span> Vibrations at the sample location</h4>
<div class="outline-text-4" id="text-2-4-1">
<p>
First, we compute the Power Spectral Density of the signals coming from the Geophone located at the sample location.
@ -780,7 +780,7 @@ First, we compute the Power Spectral Density of the signals coming from the Geop
</div>
<p>
And we compare all the signals (figures <a href="#org4625dfd">6</a> and <a href="#org7ea2a57">7</a>).
And we compare all the signals (figures <a href="#org89b13c6">6</a> and <a href="#org308e055">7</a>).
</p>
<div class="org-src-container">
<pre class="src src-matlab"><span class="org-type">figure</span>;
@ -801,7 +801,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
<div id="org4625dfd" class="figure">
<div id="org89b13c6" class="figure">
<p><img src="figs/psd_sample_comp.png" alt="psd_sample_comp.png" />
</p>
<p><span class="figure-number">Figure 6: </span>PSD of the signal coming from the top geophone</p>
@ -809,7 +809,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
<div id="org7ea2a57" class="figure">
<div id="org308e055" class="figure">
<p><img src="figs/psd_sample_comp_high_freq.png" alt="psd_sample_comp_high_freq.png" />
</p>
<p><span class="figure-number">Figure 7: </span>PSD of the signal coming from the top geophone (zoom at high frequencies)</p>
@ -817,8 +817,8 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
</div>
<div id="outline-container-org64cfb89" class="outline-4">
<h4 id="org64cfb89"><span class="section-number-4">2.4.2</span> Vibrations on the marble</h4>
<div id="outline-container-orgc2f810b" class="outline-4">
<h4 id="orgc2f810b"><span class="section-number-4">2.4.2</span> Vibrations on the marble</h4>
<div class="outline-text-4" id="text-2-4-2">
<p>
Now we plot the same curves for the geophone located on the marble.
@ -834,7 +834,7 @@ Now we plot the same curves for the geophone located on the marble.
</div>
<p>
And we compare the ASD (figures <a href="#orge9b59a5">8</a> and <a href="#org8caf60f">9</a>)
And we compare the ASD (figures <a href="#orgbe8f7be">8</a> and <a href="#orgd5c44ba">9</a>)
</p>
<div class="org-src-container">
<pre class="src src-matlab"><span class="org-type">figure</span>;
@ -855,7 +855,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
<div id="orge9b59a5" class="figure">
<div id="orgbe8f7be" class="figure">
<p><img src="figs/psd_marble_comp.png" alt="psd_marble_comp.png" />
</p>
<p><span class="figure-number">Figure 8: </span>PSD of the signal coming from the top geophone</p>
@ -863,7 +863,7 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
<div id="org8caf60f" class="figure">
<div id="orgd5c44ba" class="figure">
<p><img src="figs/psd_marble_comp_high_freq.png" alt="psd_marble_comp_high_freq.png" />
</p>
<p><span class="figure-number">Figure 9: </span>PSD of the signal coming from the top geophone (zoom at high frequencies)</p>
@ -871,11 +871,11 @@ legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-stri
</div>
</div>
</div>
<div id="outline-container-org42553b0" class="outline-3">
<h3 id="org42553b0"><span class="section-number-3">2.5</span> Effect of the control system on the transmissibility from ground to sample</h3>
<div id="outline-container-org43b187d" class="outline-3">
<h3 id="org43b187d"><span class="section-number-3">2.5</span> Effect of the control system on the transmissibility from ground to sample</h3>
<div class="outline-text-3" id="text-2-5">
<p>
As the feedback loops change the dynamics of the system, we should see differences on the transfer function from marble velocity to sample velocity when turning off the control systems (figure <a href="#orgbeaac3f">10</a>).
As the feedback loops change the dynamics of the system, we should see differences on the transfer function from marble velocity to sample velocity when turning off the control systems (figure <a href="#org5664b0a">10</a>).
</p>
<div class="org-src-container">
@ -935,15 +935,15 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
<div id="orgbeaac3f" class="figure">
<div id="org5664b0a" class="figure">
<p><img src="figs/trans_comp.png" alt="trans_comp.png" />
</p>
<p><span class="figure-number">Figure 10: </span>Comparison of the transfer function from the geophone on the marble to the geophone at the sample location</p>
</div>
</div>
</div>
<div id="outline-container-org9ad50de" class="outline-3">
<h3 id="org9ad50de"><span class="section-number-3">2.6</span> Conclusion</h3>
<div id="outline-container-org8ffc99d" class="outline-3">
<h3 id="org8ffc99d"><span class="section-number-3">2.6</span> Conclusion</h3>
<div class="outline-text-3" id="text-2-6">
<div class="important">
<ul class="org-ul">
@ -962,12 +962,12 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
</div>
<div id="outline-container-org089e6c4" class="outline-2">
<h2 id="org089e6c4"><span class="section-number-2">3</span> Transfer function from one stage to the other</h2>
<div id="outline-container-orge358e9f" class="outline-2">
<h2 id="orge358e9f"><span class="section-number-2">3</span> Transfer function from one stage to the other</h2>
<div class="outline-text-2" id="text-3">
</div>
<div id="outline-container-org5af1ad1" class="outline-3">
<h3 id="org5af1ad1"><span class="section-number-3">3.1</span> Experimental Setup</h3>
<div id="outline-container-org8671c9c" class="outline-3">
<h3 id="org8671c9c"><span class="section-number-3">3.1</span> Experimental Setup</h3>
<div class="outline-text-3" id="text-3-1">
<p>
For all the measurements in this section:
@ -978,11 +978,11 @@ For all the measurements in this section:
</ul>
</div>
<div id="outline-container-org266aa09" class="outline-4">
<h4 id="org266aa09"><span class="section-number-4">3.1.1</span> From Marble to Ty - <code>mat/meas_010.mat</code></h4>
<div id="outline-container-orgb8620d5" class="outline-4">
<h4 id="orgb8620d5"><span class="section-number-4">3.1.1</span> From Marble to Ty - <code>mat/meas_010.mat</code></h4>
<div class="outline-text-4" id="text-3-1-1">
<p>
One geophone is on the marble, one is on the Ty stage (see figures <a href="#org0f2eb79">11</a>, <a href="#orgcdf6183">12</a> and <a href="#orga6a9a3a">13</a>).
One geophone is on the marble, one is on the Ty stage (see figures <a href="#org6500e1d">11</a>, <a href="#org3ecc8bf">12</a> and <a href="#org9e84f58">13</a>).
</p>
<p>
@ -1021,21 +1021,21 @@ The <code>data</code> array contains the following columns:
</table>
<div id="org0f2eb79" class="figure">
<div id="org6500e1d" class="figure">
<p><img src="./img/IMG_20190430_155330.jpg" alt="IMG_20190430_155330.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 11: </span>Setup with one geophone on the marble and one on top of the translation stage</p>
</div>
<div id="orgcdf6183" class="figure">
<div id="org3ecc8bf" class="figure">
<p><img src="./img/IMG_20190430_155335.jpg" alt="IMG_20190430_155335.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 12: </span>Setup with one geophone on the marble and one on top of the translation stage - Close up view</p>
</div>
<div id="orga6a9a3a" class="figure">
<div id="org9e84f58" class="figure">
<p><img src="./img/IMG_20190430_155342.jpg" alt="IMG_20190430_155342.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 13: </span>Setup with one geophone on the marble and one on top of the translation stage - Top view</p>
@ -1043,11 +1043,11 @@ The <code>data</code> array contains the following columns:
</div>
</div>
<div id="outline-container-org51f3cb6" class="outline-4">
<h4 id="org51f3cb6"><span class="section-number-4">3.1.2</span> From Marble to Ry - <code>mat/meas_011.mat</code></h4>
<div id="outline-container-org3ca3b63" class="outline-4">
<h4 id="org3ca3b63"><span class="section-number-4">3.1.2</span> From Marble to Ry - <code>mat/meas_011.mat</code></h4>
<div class="outline-text-4" id="text-3-1-2">
<p>
One geophone is on the marble, one is on the Ry stage (see figure <a href="#org7d8f6dd">14</a>)
One geophone is on the marble, one is on the Ry stage (see figure <a href="#orgb45486f">14</a>)
</p>
<p>
@ -1086,7 +1086,7 @@ The <code>data</code> array contains the following columns:
</table>
<div id="org7d8f6dd" class="figure">
<div id="orgb45486f" class="figure">
<p><img src="./img/IMG_20190430_163919.jpg" alt="IMG_20190430_163919.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 14: </span>Setup with one geophone on the marble and one on top of the Tilt Stage</p>
@ -1094,11 +1094,11 @@ The <code>data</code> array contains the following columns:
</div>
</div>
<div id="outline-container-orgd9c5a6f" class="outline-4">
<h4 id="orgd9c5a6f"><span class="section-number-4">3.1.3</span> From Ty to Ry - <code>mat/meas_012.mat</code></h4>
<div id="outline-container-orgff3cde2" class="outline-4">
<h4 id="orgff3cde2"><span class="section-number-4">3.1.3</span> From Ty to Ry - <code>mat/meas_012.mat</code></h4>
<div class="outline-text-4" id="text-3-1-3">
<p>
One geophone is on the Ty stage, one is on the Ry stage (see figures <a href="#orgba2d3e3">15</a>, <a href="#orge407959">16</a> and <a href="#org6526dff">17</a>)
One geophone is on the Ty stage, one is on the Ry stage (see figures <a href="#orgf7603bb">15</a>, <a href="#orgea56cfb">16</a> and <a href="#orga7b7318">17</a>)
One geophone on the Ty stage, one geophone on the Ry stage.
</p>
@ -1138,21 +1138,21 @@ The <code>data</code> array contains the following columns:
</table>
<div id="orgba2d3e3" class="figure">
<div id="orgf7603bb" class="figure">
<p><img src="./img/IMG_20190430_170405.jpg" alt="IMG_20190430_170405.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 15: </span>Setup with one geophone on the translation stage and one on top of the Tilt Stage</p>
</div>
<div id="orge407959" class="figure">
<div id="orgea56cfb" class="figure">
<p><img src="./img/IMG_20190430_170418.jpg" alt="IMG_20190430_170418.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 16: </span>Setup with one geophone on the translation stage and one on top of the Tilt Stage - Top view</p>
</div>
<div id="org6526dff" class="figure">
<div id="orga7b7318" class="figure">
<p><img src="./img/IMG_20190430_170425.jpg" alt="IMG_20190430_170425.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 17: </span>Setup with one geophone on the translation stage and one on top of the Tilt Stage - Close up view</p>
@ -1161,8 +1161,8 @@ The <code>data</code> array contains the following columns:
</div>
</div>
<div id="outline-container-org3523b58" class="outline-3">
<h3 id="org3523b58"><span class="section-number-3">3.2</span> Load data</h3>
<div id="outline-container-org185b0f5" class="outline-3">
<h3 id="org185b0f5"><span class="section-number-3">3.2</span> Load data</h3>
<div class="outline-text-3" id="text-3-2">
<p>
We load the data of the z axis of two geophones.
@ -1176,8 +1176,8 @@ ty_ry = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="or
</div>
</div>
<div id="outline-container-org2c086d0" class="outline-3">
<h3 id="org2c086d0"><span class="section-number-3">3.3</span> Analysis - Time Domain</h3>
<div id="outline-container-org1dfb0b9" class="outline-3">
<h3 id="org1dfb0b9"><span class="section-number-3">3.3</span> Analysis - Time Domain</h3>
<div class="outline-text-3" id="text-3-3">
<p>
First, we can look at the time domain data.
@ -1196,7 +1196,7 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
<div id="org28c5ecf" class="figure">
<div id="org091d427" class="figure">
<p><img src="figs/time_domain_m_ty.png" alt="time_domain_m_ty.png" />
</p>
<p><span class="figure-number">Figure 18: </span>Time domain - Marble and translation stage</p>
@ -1216,7 +1216,7 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
<div id="orgc219487" class="figure">
<div id="org64705f0" class="figure">
<p><img src="figs/time_domain_m_ry.png" alt="time_domain_m_ry.png" />
</p>
<p><span class="figure-number">Figure 19: </span>Time domain - Marble and tilt stage</p>
@ -1235,7 +1235,7 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
<div id="org0dbd78b" class="figure">
<div id="orga9c5a81" class="figure">
<p><img src="figs/time_domain_ty_ry.png" alt="time_domain_ty_ry.png" />
</p>
<p><span class="figure-number">Figure 20: </span>Time domain - Translation stage and tilt stage</p>
@ -1243,8 +1243,8 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
</div>
<div id="outline-container-org63bd941" class="outline-3">
<h3 id="org63bd941"><span class="section-number-3">3.4</span> Analysis - Frequency Domain</h3>
<div id="outline-container-org388dc28" class="outline-3">
<h3 id="org388dc28"><span class="section-number-3">3.4</span> Analysis - Frequency Domain</h3>
<div class="outline-text-3" id="text-3-4">
<div class="org-src-container">
<pre class="src src-matlab">dt = m_ty<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> m_ty<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>;
@ -1255,7 +1255,7 @@ win = hanning<span class="org-rainbow-delimiters-depth-1">(</span>ceil<span clas
</div>
<p>
First, we compute the transfer function estimate between the two geophones for the 3 experiments (figure <a href="#orgcd25676">21</a>). We also plot their coherence (figure <a href="#org0202f2c">22</a>).
First, we compute the transfer function estimate between the two geophones for the 3 experiments (figure <a href="#orgb44305f">21</a>). We also plot their coherence (figure <a href="#orgf8b4679">22</a>).
</p>
<div class="org-src-container">
<pre class="src src-matlab"><span class="org-rainbow-delimiters-depth-1">[</span>T_m_ty, f<span class="org-rainbow-delimiters-depth-1">]</span> = tfestimate<span class="org-rainbow-delimiters-depth-1">(</span>m_ty<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>, m_ty<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>;
@ -1294,7 +1294,7 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
<div id="orgcd25676" class="figure">
<div id="orgb44305f" class="figure">
<p><img src="figs/compare_tf_geophones.png" alt="compare_tf_geophones.png" />
</p>
<p><span class="figure-number">Figure 21: </span>Transfer function from the first geophone to the second geophone for the three experiments</p>
@ -1309,7 +1309,7 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
<div id="org0202f2c" class="figure">
<div id="orgf8b4679" class="figure">
<p><img src="figs/coherence_two_geophones.png" alt="coherence_two_geophones.png" />
</p>
<p><span class="figure-number">Figure 22: </span>Coherence between the two geophones for the three experiments</p>
@ -1317,14 +1317,14 @@ xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbo
</div>
</div>
<div id="outline-container-orgc82b7b0" class="outline-3">
<h3 id="orgc82b7b0"><span class="section-number-3">3.5</span> Conclusion</h3>
<div id="outline-container-org26a82a2" class="outline-3">
<h3 id="org26a82a2"><span class="section-number-3">3.5</span> Conclusion</h3>
</div>
</div>
</div>
<div id="postamble" class="status">
<p class="author">Author: Thomas Dehaeze</p>
<p class="date">Created: 2019-05-02 jeu. 14:06</p>
<p class="date">Created: 2019-05-02 jeu. 14:12</p>
<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
</div>
</body>