Renamed one folder. Add analysis of vibrations when rotating
This commit is contained in:
10
index.org
10
index.org
@@ -73,6 +73,9 @@ The station is identified again.
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#+end_important
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#+end_important
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* Measurements of perturbations
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* Measurements of perturbations
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- [[file:slip-ring-spindle-vibrations/index.org][Measurement of the vibrations induced by the rotation of the slip-ring and spindle]]
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- Measurement of the electrical noise induced by the slip-ring
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** Noise coming from the control loop of each stage
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** Noise coming from the control loop of each stage
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[[file:2018-10-15%20-%20Marc/index.org][Link to the analysis]]
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[[file:2018-10-15%20-%20Marc/index.org][Link to the analysis]]
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@@ -135,12 +138,11 @@ The goal is to estimate all the error motions induced by the Spindle
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*** Results
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*** Results
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* Ressources
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- [[file:actuators-sensors/index.org][Actuators and Sensors]]
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- [[file:equipment/equipment.org][Equipment used for the measurements]]
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* Other measurements
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* Other measurements
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- [[file:huddle-test-geophones/index.org][Huddle Test - Geophones]]
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- [[file:huddle-test-geophones/index.org][Huddle Test - Geophones]]
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- [[file:disturbance-measurement/index.org][Disturbance Measurement]]
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- [[file:disturbance-measurement/index.org][Disturbance Measurement]]
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- [[file:slip-ring-test/index.org][Slip Ring - Noise measurement]]
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- [[file:slip-ring-test/index.org][Slip Ring - Noise measurement]]
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- [[file:static-measurements/index.org][Control System Measurement]]
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- [[file:static-measurements/index.org][Control System Measurement]]
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* Ressources
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- [[file:actuators-sensors/index.org][Actuators and Sensors]]
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- [[file:equipment/equipment.org][Equipment used for the measurements]]
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@@ -289,6 +289,7 @@ We now look at the difference between the signal directly measured by the ADC an
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- Should the measurement be redone using voltage amplifiers?
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- Should the measurement be redone using voltage amplifiers?
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- Use higher rotation speed and measure for longer periods (to have multiple revolutions) ?
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- Use higher rotation speed and measure for longer periods (to have multiple revolutions) ?
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#+end_note
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#+end_note
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* Measure of the noise induced by the Slip-Ring
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* Measure of the noise induced by the Slip-Ring
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:PROPERTIES:
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:PROPERTIES:
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:header-args:matlab+: :tangle matlab/meas_slip_ring.m
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:header-args:matlab+: :tangle matlab/meas_slip_ring.m
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@@ -88,4 +88,3 @@ Measurements:
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- meas21: Slip-Ring ON
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- meas21: Slip-Ring ON
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- meas22: Slip-Ring ON and omega=6rpm
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- meas22: Slip-Ring ON and omega=6rpm
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- meas23: Slip-Ring ON and omega=60rpm
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- meas23: Slip-Ring ON and omega=60rpm
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<title>Vibrations induced by the Slip-Ring and the Spindle</title>
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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)
|
||||||
|
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|
||||||
|
var target = document.getElementById(id);
|
||||||
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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);
|
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if(elem.cacheClassElem)
|
||||||
|
elem.className = elem.cacheClassElem;
|
||||||
|
if(elem.cacheClassTarget)
|
||||||
|
target.className = elem.cacheClassTarget;
|
||||||
|
}
|
||||||
|
/*]]>*///-->
|
||||||
|
</script>
|
||||||
|
</head>
|
||||||
|
<body>
|
||||||
|
<div id="org-div-home-and-up">
|
||||||
|
<a accesskey="h" href="../index.html"> UP </a>
|
||||||
|
|
|
||||||
|
<a accesskey="H" href="../index.html"> HOME </a>
|
||||||
|
</div><div id="content">
|
||||||
|
<h1 class="title">Vibrations induced by the Slip-Ring and the Spindle</h1>
|
||||||
|
<div id="table-of-contents">
|
||||||
|
<h2>Table of Contents</h2>
|
||||||
|
<div id="text-table-of-contents">
|
||||||
|
<ul>
|
||||||
|
<li><a href="#org8c69ce5">1. Experimental Setup</a></li>
|
||||||
|
<li><a href="#orgf453912">2. Data Analysis</a>
|
||||||
|
<ul>
|
||||||
|
<li><a href="#org9872101">2.1. Load data</a></li>
|
||||||
|
<li><a href="#org2ae0836">2.2. Time domain plots</a></li>
|
||||||
|
<li><a href="#org679ca5d">2.3. Frequency Domain</a></li>
|
||||||
|
<li><a href="#org122a9b6">2.4. Conclusion</a></li>
|
||||||
|
</ul>
|
||||||
|
</li>
|
||||||
|
</ul>
|
||||||
|
</div>
|
||||||
|
</div>
|
||||||
|
|
||||||
|
<div id="outline-container-org8c69ce5" class="outline-2">
|
||||||
|
<h2 id="org8c69ce5"><span class="section-number-2">1</span> Experimental Setup</h2>
|
||||||
|
<div class="outline-text-2" id="text-1">
|
||||||
|
<p>
|
||||||
|
All the stages are OFF.
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
Two geophone are use:
|
||||||
|
</p>
|
||||||
|
<ul class="org-ul">
|
||||||
|
<li>One on the marble (corresponding to the first column in the data)</li>
|
||||||
|
<li>One at the sample location (corresponding to the second column in the data)</li>
|
||||||
|
</ul>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
Two voltage amplifiers are used, their setup is:
|
||||||
|
</p>
|
||||||
|
<ul class="org-ul">
|
||||||
|
<li>gain of 60dB</li>
|
||||||
|
<li>AC/DC switch on AC</li>
|
||||||
|
<li>Low pass filter at 1kHz</li>
|
||||||
|
</ul>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
A first order low pass filter is also added at the input of the voltage amplifiers.
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
<b>Goal</b>:
|
||||||
|
</p>
|
||||||
|
<ul class="org-ul">
|
||||||
|
<li>Identify the vibrations induced by the rotation of the Slip-Ring and Spindle</li>
|
||||||
|
</ul>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
Three measurements are done:
|
||||||
|
</p>
|
||||||
|
<ul class="org-ul">
|
||||||
|
<li><code>mat/data_024.mat</code>: All the stages are OFF</li>
|
||||||
|
<li><code>mat/data_025.mat</code>: The slip-ring is ON and rotates at 6rpm. The spindle is OFF</li>
|
||||||
|
<li><code>mat/data_026.mat</code>: The slip-ring and spindle are both ON. They are both turning at 6rpm</li>
|
||||||
|
</ul>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
A movie showing the experiment is shown on figure <a href="#org02e3283">1</a>.
|
||||||
|
</p>
|
||||||
|
|
||||||
|
|
||||||
|
<div id="org02e3283" class="figure">
|
||||||
|
<p><img src="./img/VID_20190510_155655.gif" alt="VID_20190510_155655.gif" width="300px" />
|
||||||
|
</p>
|
||||||
|
<p><span class="figure-number">Figure 1: </span>Movie of the experiment, rotation speed is 6rpm</p>
|
||||||
|
</div>
|
||||||
|
</div>
|
||||||
|
</div>
|
||||||
|
|
||||||
|
<div id="outline-container-orgf453912" class="outline-2">
|
||||||
|
<h2 id="orgf453912"><span class="section-number-2">2</span> Data Analysis</h2>
|
||||||
|
<div class="outline-text-2" id="text-2">
|
||||||
|
<p>
|
||||||
|
<a id="org611d277"></a>
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<div class="note">
|
||||||
|
<p>
|
||||||
|
All the files (data and Matlab scripts) are accessible <a href="data/spindle_slip_ring_vibrations.zip">here</a>.
|
||||||
|
</p>
|
||||||
|
|
||||||
|
</div>
|
||||||
|
</div>
|
||||||
|
|
||||||
|
<div id="outline-container-org9872101" class="outline-3">
|
||||||
|
<h3 id="org9872101"><span class="section-number-3">2.1</span> Load data</h3>
|
||||||
|
<div class="outline-text-3" id="text-2-1">
|
||||||
|
<div class="org-src-container">
|
||||||
|
<pre class="src src-matlab">of = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_024.mat', 'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; of = of.data;
|
||||||
|
sr = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_025.mat', 'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; sr = sr.data;
|
||||||
|
sp = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'mat/data_026.mat', 'data'</span><span class="org-rainbow-delimiters-depth-1">)</span>; sp = sp.data;
|
||||||
|
</pre>
|
||||||
|
</div>
|
||||||
|
</div>
|
||||||
|
</div>
|
||||||
|
|
||||||
|
<div id="outline-container-org2ae0836" class="outline-3">
|
||||||
|
<h3 id="org2ae0836"><span class="section-number-3">2.2</span> Time domain plots</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>;
|
||||||
|
hold on;
|
||||||
|
plot<span class="org-rainbow-delimiters-depth-1">(</span>sp<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, sp<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, 'DisplayName', 'Spindle <span class="org-type">-</span> <span class="org-highlight-numbers-number">6rpm</span>'<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||||
|
plot<span class="org-rainbow-delimiters-depth-1">(</span>sr<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, sr<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, 'DisplayName', 'Slip<span class="org-type">-</span>Ring <span class="org-type">-</span> <span class="org-highlight-numbers-number">6rpm</span>'<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||||
|
plot<span class="org-rainbow-delimiters-depth-1">(</span>of<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, of<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'OFF'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||||
|
hold off;
|
||||||
|
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Time </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">s</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">)</span></span><span class="org-string">; ylabel</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-string">'Voltage </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">V</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||||
|
xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">0</span>, <span class="org-highlight-numbers-number">100</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>; ylim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-type">-</span><span class="org-highlight-numbers-number">10</span> <span class="org-highlight-numbers-number">10</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||||
|
legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Location', 'northeast'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||||
|
</pre>
|
||||||
|
</div>
|
||||||
|
|
||||||
|
|
||||||
|
<div id="orgacbbef6" class="figure">
|
||||||
|
<p><img src="figs/slip_ring_spindle_marble_time.png" alt="slip_ring_spindle_marble_time.png" />
|
||||||
|
</p>
|
||||||
|
<p><span class="figure-number">Figure 2: </span>Measurement of the geophone located on the marble - Time domain</p>
|
||||||
|
</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>sp<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, sp<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Spindle and Slip-Ring'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||||
|
plot<span class="org-rainbow-delimiters-depth-1">(</span>sr<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, sr<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'Only Slip-Ring'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||||
|
plot<span class="org-rainbow-delimiters-depth-1">(</span>of<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-2">)</span>, of<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'OFF'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||||
|
hold off;
|
||||||
|
xlabel<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Time </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">s</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">)</span></span><span class="org-string">; ylabel</span><span class="org-string"><span class="org-rainbow-delimiters-depth-1">(</span></span><span class="org-string">'Voltage </span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">[</span></span><span class="org-string">V</span><span class="org-string"><span class="org-rainbow-delimiters-depth-2">]</span></span><span class="org-string">'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||||
|
xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">0</span>, <span class="org-highlight-numbers-number">100</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>; ylim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-type">-</span><span class="org-highlight-numbers-number">10</span> <span class="org-highlight-numbers-number">10</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||||
|
legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Location', 'northeast'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||||
|
</pre>
|
||||||
|
</div>
|
||||||
|
|
||||||
|
|
||||||
|
<div id="org17ed71b" class="figure">
|
||||||
|
<p><img src="figs/slip_ring_spindle_sample_time.png" alt="slip_ring_spindle_sample_time.png" />
|
||||||
|
</p>
|
||||||
|
<p><span class="figure-number">Figure 3: </span>Measurement of the geophone at the sample location - Time domain</p>
|
||||||
|
</div>
|
||||||
|
</div>
|
||||||
|
</div>
|
||||||
|
|
||||||
|
<div id="outline-container-org679ca5d" class="outline-3">
|
||||||
|
<h3 id="org679ca5d"><span class="section-number-3">2.3</span> Frequency Domain</h3>
|
||||||
|
<div class="outline-text-3" id="text-2-3">
|
||||||
|
<p>
|
||||||
|
We first compute some parameters that will be used for the PSD computation.
|
||||||
|
</p>
|
||||||
|
<div class="org-src-container">
|
||||||
|
<pre class="src src-matlab">dt = of<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">2</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span><span class="org-type">-</span>of<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">3</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||||
|
|
||||||
|
Fs = <span class="org-highlight-numbers-number">1</span><span class="org-type">/</span>dt; <span class="org-comment">% [Hz]</span>
|
||||||
|
|
||||||
|
win = hanning<span class="org-rainbow-delimiters-depth-1">(</span>ceil<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-highlight-numbers-number">10</span><span class="org-type">*</span>Fs<span class="org-rainbow-delimiters-depth-2">)</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||||
|
</pre>
|
||||||
|
</div>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
Then we compute the Power Spectral Density using <code>pwelch</code> function.
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
First for the geophone located on the marble
|
||||||
|
</p>
|
||||||
|
<div class="org-src-container">
|
||||||
|
<pre class="src src-matlab"><span class="org-rainbow-delimiters-depth-1">[</span>pxof_m, f<span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>of<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||||
|
<span class="org-rainbow-delimiters-depth-1">[</span>pxsr_m, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>sr<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||||
|
<span class="org-rainbow-delimiters-depth-1">[</span>pxsp_m, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>sp<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">1</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||||
|
</pre>
|
||||||
|
</div>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
And for the geophone located at the sample position.
|
||||||
|
</p>
|
||||||
|
<div class="org-src-container">
|
||||||
|
<pre class="src src-matlab"><span class="org-rainbow-delimiters-depth-1">[</span>pxof_s, f<span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>of<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||||
|
<span class="org-rainbow-delimiters-depth-1">[</span>pxsr_s, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>sr<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||||
|
<span class="org-rainbow-delimiters-depth-1">[</span>pxsp_s, <span class="org-type">~</span><span class="org-rainbow-delimiters-depth-1">]</span> = pwelch<span class="org-rainbow-delimiters-depth-1">(</span>sp<span class="org-rainbow-delimiters-depth-2">(</span><span class="org-type">:</span>, <span class="org-highlight-numbers-number">2</span><span class="org-rainbow-delimiters-depth-2">)</span>, win, <span class="org-rainbow-delimiters-depth-2">[]</span>, <span class="org-rainbow-delimiters-depth-2">[]</span>, Fs<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||||
|
</pre>
|
||||||
|
</div>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
And we plot the ASD of the measured signals:
|
||||||
|
</p>
|
||||||
|
<ul class="org-ul">
|
||||||
|
<li>figure <a href="#org9c0e002">4</a> for the geophone located on the marble</li>
|
||||||
|
<li>figure <a href="#orgfbccecc">5</a> for the geophone at the sample position</li>
|
||||||
|
</ul>
|
||||||
|
|
||||||
|
<div class="org-src-container">
|
||||||
|
<pre class="src src-matlab"><span class="org-type">figure</span>;
|
||||||
|
hold on;
|
||||||
|
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>pxsp_m<span class="org-rainbow-delimiters-depth-2">)</span>, 'DisplayName', 'Spindle <span class="org-type">-</span> <span class="org-highlight-numbers-number">6rpm</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>pxsr_m<span class="org-rainbow-delimiters-depth-2">)</span>, 'DisplayName', 'Slip<span class="org-type">-</span>Ring <span class="org-type">-</span> <span class="org-highlight-numbers-number">6rpm</span>'<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||||
|
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>pxof_m<span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'OFF'</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">'</span>ASD of the measured Voltage $<span class="org-type">\</span>left<span class="org-rainbow-delimiters-depth-2">[</span><span class="org-type">\</span>frac<span class="org-rainbow-delimiters-depth-3">{</span>V<span class="org-rainbow-delimiters-depth-3">}{</span><span class="org-type">\</span>sqrt<span class="org-rainbow-delimiters-depth-4">{</span>Hz<span class="org-rainbow-delimiters-depth-4">}</span><span class="org-rainbow-delimiters-depth-3">}</span><span class="org-type">\</span>right<span class="org-rainbow-delimiters-depth-2">]</span>$'<span class="org-rainbow-delimiters-depth-1">)</span>
|
||||||
|
legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Location', 'southwest'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||||
|
xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">0</span>.<span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">500</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||||
|
</pre>
|
||||||
|
</div>
|
||||||
|
|
||||||
|
|
||||||
|
<div id="org9c0e002" class="figure">
|
||||||
|
<p><img src="figs/sr_sp_psd_marble_compare.png" alt="sr_sp_psd_marble_compare.png" />
|
||||||
|
</p>
|
||||||
|
<p><span class="figure-number">Figure 4: </span>Comparison of the ASD of the measured voltage from the Geophone on the marble</p>
|
||||||
|
</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>pxsp_s<span class="org-rainbow-delimiters-depth-2">)</span>, 'DisplayName', 'Spindle <span class="org-type">-</span> <span class="org-highlight-numbers-number">6rpm</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>pxsr_s<span class="org-rainbow-delimiters-depth-2">)</span>, 'DisplayName', 'Slip<span class="org-type">-</span>Ring <span class="org-type">-</span> <span class="org-highlight-numbers-number">6rpm</span>'<span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||||
|
plot<span class="org-rainbow-delimiters-depth-1">(</span>f, sqrt<span class="org-rainbow-delimiters-depth-2">(</span>pxof_s<span class="org-rainbow-delimiters-depth-2">)</span>, <span class="org-string">'DisplayName', 'OFF'</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">'</span>ASD of the measured Voltage $<span class="org-type">\</span>left<span class="org-rainbow-delimiters-depth-2">[</span><span class="org-type">\</span>frac<span class="org-rainbow-delimiters-depth-3">{</span>V<span class="org-rainbow-delimiters-depth-3">}{</span><span class="org-type">\</span>sqrt<span class="org-rainbow-delimiters-depth-4">{</span>Hz<span class="org-rainbow-delimiters-depth-4">}</span><span class="org-rainbow-delimiters-depth-3">}</span><span class="org-type">\</span>right<span class="org-rainbow-delimiters-depth-2">]</span>$'<span class="org-rainbow-delimiters-depth-1">)</span>
|
||||||
|
legend<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'Location', 'southwest'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||||
|
xlim<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-rainbow-delimiters-depth-2">[</span><span class="org-highlight-numbers-number">0</span>.<span class="org-highlight-numbers-number">1</span>, <span class="org-highlight-numbers-number">500</span><span class="org-rainbow-delimiters-depth-2">]</span><span class="org-rainbow-delimiters-depth-1">)</span>;
|
||||||
|
</pre>
|
||||||
|
</div>
|
||||||
|
|
||||||
|
|
||||||
|
<div id="orgfbccecc" class="figure">
|
||||||
|
<p><img src="figs/sr_sp_psd_sample_compare.png" alt="sr_sp_psd_sample_compare.png" />
|
||||||
|
</p>
|
||||||
|
<p><span class="figure-number">Figure 5: </span>Comparison of the ASD of the measured voltage from the Geophone at the sample location</p>
|
||||||
|
</div>
|
||||||
|
</div>
|
||||||
|
</div>
|
||||||
|
|
||||||
|
<div id="outline-container-org122a9b6" class="outline-3">
|
||||||
|
<h3 id="org122a9b6"><span class="section-number-3">2.4</span> Conclusion</h3>
|
||||||
|
<div class="outline-text-3" id="text-2-4">
|
||||||
|
<div class="important">
|
||||||
|
<p>
|
||||||
|
The slip-ring rotation induces almost no vibrations on the marble, and only a little vibrations on the sample above 100Hz.
|
||||||
|
</p>
|
||||||
|
|
||||||
|
<p>
|
||||||
|
The spindle rotation induces a lot of vibrations of the sample as well as on the granite.
|
||||||
|
There is a huge peak at 24Hz on the sample vibration but not on the granite vibration.
|
||||||
|
</p>
|
||||||
|
|
||||||
|
</div>
|
||||||
|
</div>
|
||||||
|
</div>
|
||||||
|
</div>
|
||||||
|
</div>
|
||||||
|
<div id="postamble" class="status">
|
||||||
|
<p class="author">Author: Dehaeze Thomas</p>
|
||||||
|
<p class="date">Created: 2019-05-13 lun. 13:19</p>
|
||||||
|
<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
|
||||||
|
</div>
|
||||||
|
</body>
|
||||||
|
</html>
|
||||||
205
slip-ring-spindle-vibrations/index.org
Normal file
205
slip-ring-spindle-vibrations/index.org
Normal file
@@ -0,0 +1,205 @@
|
|||||||
|
#+TITLE: Vibrations induced by the Slip-Ring and the Spindle
|
||||||
|
#+SETUPFILE: ../config.org
|
||||||
|
|
||||||
|
* Experimental Setup
|
||||||
|
All the stages are OFF.
|
||||||
|
|
||||||
|
Two geophone are use:
|
||||||
|
- One on the marble (corresponding to the first column in the data)
|
||||||
|
- One at the sample location (corresponding to the second column in the data)
|
||||||
|
|
||||||
|
Two voltage amplifiers are used, their setup is:
|
||||||
|
- gain of 60dB
|
||||||
|
- AC/DC switch on AC
|
||||||
|
- Low pass filter at 1kHz
|
||||||
|
|
||||||
|
A first order low pass filter is also added at the input of the voltage amplifiers.
|
||||||
|
|
||||||
|
*Goal*:
|
||||||
|
- Identify the vibrations induced by the rotation of the Slip-Ring and Spindle
|
||||||
|
|
||||||
|
Three measurements are done:
|
||||||
|
- =mat/data_024.mat=: All the stages are OFF
|
||||||
|
- =mat/data_025.mat=: The slip-ring is ON and rotates at 6rpm. The spindle is OFF
|
||||||
|
- =mat/data_026.mat=: The slip-ring and spindle are both ON. They are both turning at 6rpm
|
||||||
|
|
||||||
|
A movie showing the experiment is shown on figure [[fig:exp_sl_sp_gif]].
|
||||||
|
|
||||||
|
#+name: fig:exp_sl_sp_gif
|
||||||
|
#+attr_html: :width 300px
|
||||||
|
#+caption: Movie of the experiment, rotation speed is 6rpm
|
||||||
|
[[file:./img/VID_20190510_155655.gif]]
|
||||||
|
|
||||||
|
* Data Analysis
|
||||||
|
:PROPERTIES:
|
||||||
|
:header-args:matlab+: :tangle matlab/spindle_slip_ring_vibrations.m
|
||||||
|
:header-args:matlab+: :comments org :mkdirp yes
|
||||||
|
:END:
|
||||||
|
<<sec:spindle_slip_ring_vibrations>>
|
||||||
|
|
||||||
|
#+begin_src bash :exports none :results none
|
||||||
|
if [ matlab/spindle_slip_ring_vibrations.m -nt data/spindle_slip_ring_vibrations.zip ]; then
|
||||||
|
cp matlab/spindle_slip_ring_vibrations.m spindle_slip_ring_vibrations.m;
|
||||||
|
zip data/spindle_slip_ring_vibrations \
|
||||||
|
mat/data_024.mat \
|
||||||
|
mat/data_025.mat \
|
||||||
|
mat/data_026.mat \
|
||||||
|
spindle_slip_ring_vibrations.m
|
||||||
|
rm spindle_slip_ring_vibrations.m;
|
||||||
|
fi
|
||||||
|
#+end_src
|
||||||
|
|
||||||
|
#+begin_note
|
||||||
|
All the files (data and Matlab scripts) are accessible [[file:data/spindle_slip_ring_vibrations.zip][here]].
|
||||||
|
#+end_note
|
||||||
|
|
||||||
|
** Matlab Init :noexport:ignore:
|
||||||
|
#+begin_src matlab :tangle no :exports none :results silent :noweb yes :var current_dir=(file-name-directory buffer-file-name)
|
||||||
|
<<matlab-dir>>
|
||||||
|
#+end_src
|
||||||
|
|
||||||
|
#+begin_src matlab :exports none :results silent :noweb yes
|
||||||
|
<<matlab-init>>
|
||||||
|
#+end_src
|
||||||
|
|
||||||
|
** Load data
|
||||||
|
#+begin_src matlab
|
||||||
|
of = load('mat/data_024.mat', 'data'); of = of.data;
|
||||||
|
sr = load('mat/data_025.mat', 'data'); sr = sr.data;
|
||||||
|
sp = load('mat/data_026.mat', 'data'); sp = sp.data;
|
||||||
|
#+end_src
|
||||||
|
|
||||||
|
** Time domain plots
|
||||||
|
#+begin_src matlab
|
||||||
|
figure;
|
||||||
|
hold on;
|
||||||
|
plot(sp(:, 3), sp(:, 1), 'DisplayName', 'Spindle - 6rpm');
|
||||||
|
plot(sr(:, 3), sr(:, 1), 'DisplayName', 'Slip-Ring - 6rpm');
|
||||||
|
plot(of(:, 3), of(:, 1), 'DisplayName', 'OFF');
|
||||||
|
hold off;
|
||||||
|
xlabel('Time [s]'); ylabel('Voltage [V]');
|
||||||
|
xlim([0, 100]); ylim([-10 10]);
|
||||||
|
legend('Location', 'northeast');
|
||||||
|
#+end_src
|
||||||
|
|
||||||
|
#+NAME: fig:slip_ring_spindle_marble_time
|
||||||
|
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||||
|
#+begin_src matlab :var filepath="figs/slip_ring_spindle_marble_time.pdf" :var figsize="wide-normal" :post pdf2svg(file=*this*, ext="png")
|
||||||
|
<<plt-matlab>>
|
||||||
|
#+end_src
|
||||||
|
|
||||||
|
#+NAME: fig:slip_ring_spindle_marble_time
|
||||||
|
#+CAPTION: Measurement of the geophone located on the marble - Time domain
|
||||||
|
#+RESULTS: fig:slip_ring_spindle_marble_time
|
||||||
|
[[file:figs/slip_ring_spindle_marble_time.png]]
|
||||||
|
|
||||||
|
#+begin_src matlab
|
||||||
|
figure;
|
||||||
|
hold on;
|
||||||
|
plot(sp(:, 3), sp(:, 2), 'DisplayName', 'Spindle and Slip-Ring');
|
||||||
|
plot(sr(:, 3), sr(:, 2), 'DisplayName', 'Only Slip-Ring');
|
||||||
|
plot(of(:, 3), of(:, 2), 'DisplayName', 'OFF');
|
||||||
|
hold off;
|
||||||
|
xlabel('Time [s]'); ylabel('Voltage [V]');
|
||||||
|
xlim([0, 100]); ylim([-10 10]);
|
||||||
|
legend('Location', 'northeast');
|
||||||
|
#+end_src
|
||||||
|
|
||||||
|
#+NAME: fig:slip_ring_spindle_sample_time
|
||||||
|
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||||
|
#+begin_src matlab :var filepath="figs/slip_ring_spindle_sample_time.pdf" :var figsize="wide-normal" :post pdf2svg(file=*this*, ext="png")
|
||||||
|
<<plt-matlab>>
|
||||||
|
#+end_src
|
||||||
|
|
||||||
|
#+NAME: fig:slip_ring_spindle_sample_time
|
||||||
|
#+CAPTION: Measurement of the geophone at the sample location - Time domain
|
||||||
|
#+RESULTS: fig:slip_ring_spindle_sample_time
|
||||||
|
[[file:figs/slip_ring_spindle_sample_time.png]]
|
||||||
|
|
||||||
|
** Frequency Domain
|
||||||
|
We first compute some parameters that will be used for the PSD computation.
|
||||||
|
#+begin_src matlab :results none
|
||||||
|
dt = of(2, 3)-of(1, 3);
|
||||||
|
|
||||||
|
Fs = 1/dt; % [Hz]
|
||||||
|
|
||||||
|
win = hanning(ceil(10*Fs));
|
||||||
|
#+end_src
|
||||||
|
|
||||||
|
Then we compute the Power Spectral Density using =pwelch= function.
|
||||||
|
|
||||||
|
First for the geophone located on the marble
|
||||||
|
#+begin_src matlab
|
||||||
|
[pxof_m, f] = pwelch(of(:, 1), win, [], [], Fs);
|
||||||
|
[pxsr_m, ~] = pwelch(sr(:, 1), win, [], [], Fs);
|
||||||
|
[pxsp_m, ~] = pwelch(sp(:, 1), win, [], [], Fs);
|
||||||
|
#+end_src
|
||||||
|
|
||||||
|
And for the geophone located at the sample position.
|
||||||
|
#+begin_src matlab
|
||||||
|
[pxof_s, f] = pwelch(of(:, 2), win, [], [], Fs);
|
||||||
|
[pxsr_s, ~] = pwelch(sr(:, 2), win, [], [], Fs);
|
||||||
|
[pxsp_s, ~] = pwelch(sp(:, 2), win, [], [], Fs);
|
||||||
|
#+end_src
|
||||||
|
|
||||||
|
And we plot the ASD of the measured signals:
|
||||||
|
- figure [[fig:sr_sp_psd_marble_compare]] for the geophone located on the marble
|
||||||
|
- figure [[fig:sr_sp_psd_sample_compare]] for the geophone at the sample position
|
||||||
|
|
||||||
|
#+begin_src matlab :results none
|
||||||
|
figure;
|
||||||
|
hold on;
|
||||||
|
plot(f, sqrt(pxsp_m), 'DisplayName', 'Spindle - 6rpm');
|
||||||
|
plot(f, sqrt(pxsr_m), 'DisplayName', 'Slip-Ring - 6rpm');
|
||||||
|
plot(f, sqrt(pxof_m), 'DisplayName', 'OFF');
|
||||||
|
hold off;
|
||||||
|
set(gca, 'xscale', 'log');
|
||||||
|
set(gca, 'yscale', 'log');
|
||||||
|
xlabel('Frequency [Hz]'); ylabel('ASD of the measured Voltage $\left[\frac{V}{\sqrt{Hz}}\right]$')
|
||||||
|
legend('Location', 'southwest');
|
||||||
|
xlim([0.1, 500]);
|
||||||
|
#+end_src
|
||||||
|
|
||||||
|
#+NAME: fig:sr_sp_psd_marble_compare
|
||||||
|
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||||
|
#+begin_src matlab :var filepath="figs/sr_sp_psd_marble_compare.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png")
|
||||||
|
<<plt-matlab>>
|
||||||
|
#+end_src
|
||||||
|
|
||||||
|
#+NAME: fig:sr_sp_psd_marble_compare
|
||||||
|
#+CAPTION: Comparison of the ASD of the measured voltage from the Geophone on the marble
|
||||||
|
#+RESULTS: fig:sr_sp_psd_marble_compare
|
||||||
|
[[file:figs/sr_sp_psd_marble_compare.png]]
|
||||||
|
|
||||||
|
#+begin_src matlab :results none
|
||||||
|
figure;
|
||||||
|
hold on;
|
||||||
|
plot(f, sqrt(pxsp_s), 'DisplayName', 'Spindle - 6rpm');
|
||||||
|
plot(f, sqrt(pxsr_s), 'DisplayName', 'Slip-Ring - 6rpm');
|
||||||
|
plot(f, sqrt(pxof_s), 'DisplayName', 'OFF');
|
||||||
|
hold off;
|
||||||
|
set(gca, 'xscale', 'log');
|
||||||
|
set(gca, 'yscale', 'log');
|
||||||
|
xlabel('Frequency [Hz]'); ylabel('ASD of the measured Voltage $\left[\frac{V}{\sqrt{Hz}}\right]$')
|
||||||
|
legend('Location', 'southwest');
|
||||||
|
xlim([0.1, 500]);
|
||||||
|
#+end_src
|
||||||
|
|
||||||
|
#+NAME: fig:sr_sp_psd_sample_compare
|
||||||
|
#+HEADER: :tangle no :exports results :results value raw replace :noweb yes
|
||||||
|
#+begin_src matlab :var filepath="figs/sr_sp_psd_sample_compare.pdf" :var figsize="full-tall" :post pdf2svg(file=*this*, ext="png")
|
||||||
|
<<plt-matlab>>
|
||||||
|
#+end_src
|
||||||
|
|
||||||
|
#+NAME: fig:sr_sp_psd_sample_compare
|
||||||
|
#+CAPTION: Comparison of the ASD of the measured voltage from the Geophone at the sample location
|
||||||
|
#+RESULTS: fig:sr_sp_psd_sample_compare
|
||||||
|
[[file:figs/sr_sp_psd_sample_compare.png]]
|
||||||
|
|
||||||
|
** Conclusion
|
||||||
|
#+begin_important
|
||||||
|
The slip-ring rotation induces almost no vibrations on the marble, and only a little vibrations on the sample above 100Hz.
|
||||||
|
|
||||||
|
The spindle rotation induces a lot of vibrations of the sample as well as on the granite.
|
||||||
|
There is a huge peak at 24Hz on the sample vibration but not on the granite vibration.
|
||||||
|
#+end_important
|
||||||
@@ -0,0 +1,107 @@
|
|||||||
|
%% Clear Workspace and Close figures
|
||||||
|
clear; close all; clc;
|
||||||
|
|
||||||
|
%% Intialize Laplace variable
|
||||||
|
s = zpk('s');
|
||||||
|
|
||||||
|
% Load data
|
||||||
|
|
||||||
|
of = load('mat/data_024.mat', 'data'); of = of.data;
|
||||||
|
sr = load('mat/data_025.mat', 'data'); sr = sr.data;
|
||||||
|
sp = load('mat/data_026.mat', 'data'); sp = sp.data;
|
||||||
|
|
||||||
|
% Time domain plots
|
||||||
|
|
||||||
|
figure;
|
||||||
|
hold on;
|
||||||
|
plot(sp(:, 3), sp(:, 1), 'DisplayName', 'Spindle - 6rpm');
|
||||||
|
plot(sr(:, 3), sr(:, 1), 'DisplayName', 'Slip-Ring - 6rpm');
|
||||||
|
plot(of(:, 3), of(:, 1), 'DisplayName', 'OFF');
|
||||||
|
hold off;
|
||||||
|
xlabel('Time [s]'); ylabel('Voltage [V]');
|
||||||
|
xlim([0, 100]); ylim([-10 10]);
|
||||||
|
legend('Location', 'northeast');
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
% #+NAME: fig:slip_ring_spindle_marble_time
|
||||||
|
% #+CAPTION: Measurement of the geophone located on the marble - Time domain
|
||||||
|
% #+RESULTS: fig:slip_ring_spindle_marble_time
|
||||||
|
% [[file:figs/slip_ring_spindle_marble_time.png]]
|
||||||
|
|
||||||
|
|
||||||
|
figure;
|
||||||
|
hold on;
|
||||||
|
plot(sp(:, 3), sp(:, 2), 'DisplayName', 'Spindle and Slip-Ring');
|
||||||
|
plot(sr(:, 3), sr(:, 2), 'DisplayName', 'Only Slip-Ring');
|
||||||
|
plot(of(:, 3), of(:, 2), 'DisplayName', 'OFF');
|
||||||
|
hold off;
|
||||||
|
xlabel('Time [s]'); ylabel('Voltage [V]');
|
||||||
|
xlim([0, 100]); ylim([-10 10]);
|
||||||
|
legend('Location', 'northeast');
|
||||||
|
|
||||||
|
% Frequency Domain
|
||||||
|
% We first compute some parameters that will be used for the PSD computation.
|
||||||
|
|
||||||
|
dt = of(2, 3)-of(1, 3);
|
||||||
|
|
||||||
|
Fs = 1/dt; % [Hz]
|
||||||
|
|
||||||
|
win = hanning(ceil(10*Fs));
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
% Then we compute the Power Spectral Density using =pwelch= function.
|
||||||
|
|
||||||
|
% First for the geophone located on the marble
|
||||||
|
|
||||||
|
[pxof_m, f] = pwelch(of(:, 1), win, [], [], Fs);
|
||||||
|
[pxsr_m, ~] = pwelch(sr(:, 1), win, [], [], Fs);
|
||||||
|
[pxsp_m, ~] = pwelch(sp(:, 1), win, [], [], Fs);
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
% And for the geophone located at the sample position.
|
||||||
|
|
||||||
|
[pxof_s, f] = pwelch(of(:, 2), win, [], [], Fs);
|
||||||
|
[pxsr_s, ~] = pwelch(sr(:, 2), win, [], [], Fs);
|
||||||
|
[pxsp_s, ~] = pwelch(sp(:, 2), win, [], [], Fs);
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
% And we plot the ASD of the measured signals:
|
||||||
|
% - figure [[fig:sr_sp_psd_marble_compare]] for the geophone located on the marble
|
||||||
|
% - figure [[fig:sr_sp_psd_sample_compare]] for the geophone at the sample position
|
||||||
|
|
||||||
|
|
||||||
|
figure;
|
||||||
|
hold on;
|
||||||
|
plot(f, sqrt(pxsp_m), 'DisplayName', 'Spindle - 6rpm');
|
||||||
|
plot(f, sqrt(pxsr_m), 'DisplayName', 'Slip-Ring - 6rpm');
|
||||||
|
plot(f, sqrt(pxof_m), 'DisplayName', 'OFF');
|
||||||
|
hold off;
|
||||||
|
set(gca, 'xscale', 'log');
|
||||||
|
set(gca, 'yscale', 'log');
|
||||||
|
xlabel('Frequency [Hz]'); ylabel('ASD of the measured Voltage $\left[\frac{V}{\sqrt{Hz}}\right]$')
|
||||||
|
legend('Location', 'southwest');
|
||||||
|
xlim([0.1, 500]);
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
% #+NAME: fig:sr_sp_psd_marble_compare
|
||||||
|
% #+CAPTION: Comparison of the ASD of the measured voltage from the Geophone on the marble
|
||||||
|
% #+RESULTS: fig:sr_sp_psd_marble_compare
|
||||||
|
% [[file:figs/sr_sp_psd_marble_compare.png]]
|
||||||
|
|
||||||
|
|
||||||
|
figure;
|
||||||
|
hold on;
|
||||||
|
plot(f, sqrt(pxsp_s), 'DisplayName', 'Spindle - 6rpm');
|
||||||
|
plot(f, sqrt(pxsr_s), 'DisplayName', 'Slip-Ring - 6rpm');
|
||||||
|
plot(f, sqrt(pxof_s), 'DisplayName', 'OFF');
|
||||||
|
hold off;
|
||||||
|
set(gca, 'xscale', 'log');
|
||||||
|
set(gca, 'yscale', 'log');
|
||||||
|
xlabel('Frequency [Hz]'); ylabel('ASD of the measured Voltage $\left[\frac{V}{\sqrt{Hz}}\right]$')
|
||||||
|
legend('Location', 'southwest');
|
||||||
|
xlim([0.1, 500]);
|
||||||
Reference in New Issue
Block a user