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<head>
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<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
<meta name="viewport" content="width=device-width, initial-scale=1" />
<title>Modal Analysis</title>
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<h2>Table of Contents</h2>
<div id="text-table-of-contents">
<ul>
<li><a href="#org1d79a68">1. Goal</a></li>
<li><a href="#orgde6e655">2. Type of Model</a></li>
<li><a href="#org9414b8d">3. Instrumentation Used</a></li>
<li><a href="#org521ef27">4. Structure Preparation and Test Planning</a>
<li><a href="#org39ef1ee">1. Goal</a></li>
<li><a href="#org7a9f918">2. Type of Model</a></li>
<li><a href="#org310cee8">3. Instrumentation Used</a></li>
<li><a href="#orgf97c121">4. Structure Preparation and Test Planning</a>
<ul>
<li><a href="#orga7b6b16">4.1. Structure Preparation</a></li>
<li><a href="#org62eba0c">4.2. Test Planing</a></li>
<li><a href="#org9c54744">4.3. Location of the Accelerometers</a></li>
<li><a href="#org2ba755b">4.4. Hammer Impacts</a></li>
<li><a href="#org5c941d9">4.1. Structure Preparation</a></li>
<li><a href="#orga7881c5">4.2. Test Planing</a></li>
<li><a href="#org29d5107">4.3. Location of the Accelerometers</a></li>
<li><a href="#orgc0e962e">4.4. Hammer Impacts</a></li>
</ul>
</li>
<li><a href="#org9bef537">5. Signal Processing</a></li>
<li><a href="#org857fbe9">6. Frequency Response Functions and Coherence Results</a>
<li><a href="#org9ae437a">5. Signal Processing</a></li>
<li><a href="#orgb4b5845">6. Frequency Response Functions and Coherence Results</a>
<ul>
<li><a href="#org32f97d8">6.1. Load Data</a></li>
<li><a href="#orgf4cdb9c">6.2. Raw Force Data</a></li>
<li><a href="#org8a25453">6.3. Raw Response Data</a></li>
<li><a href="#org7c2ca7a">6.4. Load Data</a></li>
<li><a href="#org21b3b6b">6.5. FRF and Coherence Results</a></li>
<li><a href="#org0b8d2e8">6.1. Load Data</a></li>
<li><a href="#org09fa58b">6.2. Raw Force Data</a></li>
<li><a href="#orgcebfe3f">6.3. Raw Response Data</a></li>
<li><a href="#org06b518f">6.4. Load Data</a></li>
<li><a href="#org8a034c5">6.5. FRF and Coherence Results</a></li>
</ul>
</li>
<li><a href="#org01620a5">7. Mode Shapes</a></li>
<li><a href="#org7403c04">8. Obtained Modal Matrices</a></li>
<li><a href="#orge615fec">9. Problem with AirLoc System</a></li>
<li><a href="#orge98bc94">10. Spatial Mode Extraction</a></li>
<li><a href="#orgac058d8">7. Mode Shapes</a></li>
<li><a href="#org702a85b">8. Obtained Modal Matrices</a></li>
<li><a href="#orgbc37a2c">9. Problem with AirLoc System</a></li>
<li><a href="#orgc2b2b54">10. Spatial Mode Extraction</a></li>
</ul>
</div>
</div>
<div id="outline-container-org1d79a68" class="outline-2">
<h2 id="org1d79a68"><span class="section-number-2">1</span> Goal</h2>
<div id="outline-container-org39ef1ee" class="outline-2">
<h2 id="org39ef1ee"><span class="section-number-2">1</span> Goal</h2>
<div class="outline-text-2" id="text-1">
<p>
The goal is to experimentally extract a <b>Spatial Model</b> (mass, damping, stiffness) of the structure (shown on figure <a href="#org554eed5">1</a>) in order to tune the Multi-Body model.
The goal is to experimentally extract a <b>Spatial Model</b> (mass, damping, stiffness) of the structure (shown on figure <a href="#org172cf35">1</a>) in order to tune the Multi-Body model.
</p>
<div id="org554eed5" class="figure">
<div id="org172cf35" class="figure">
<p><img src="img/nass_picture.png" alt="nass_picture.png" width="500px" />
</p>
<p><span class="figure-number">Figure 1: </span>Picture of the ID31 Micro-Station. (1) Granite (2) Translation Stage (3) Tilt Stage (4) Hexapod (5) Dummy Mass</p>
</div>
<p>
The procedure is represented on figure <a href="#orgee4af11">2</a> where we go from left to right.
The procedure is represented on figure <a href="#org137d6ed">2</a> where we go from left to right.
</p>
<div id="orgee4af11" class="figure">
<div id="org137d6ed" class="figure">
<p><img src="img/vibration_analysis_procedure.png" alt="vibration_analysis_procedure.png" width="400px" />
</p>
<p><span class="figure-number">Figure 2: </span>Vibration Analysis Procedure</p>
@ -351,13 +351,13 @@ The modes we want to identify are those in the frequency range between 0Hz and 1
</div>
</div>
<div id="outline-container-orgde6e655" class="outline-2">
<h2 id="orgde6e655"><span class="section-number-2">2</span> Type of Model</h2>
<div id="outline-container-org7a9f918" class="outline-2">
<h2 id="org7a9f918"><span class="section-number-2">2</span> Type of Model</h2>
<div class="outline-text-2" id="text-2">
<p>
The model that we want to obtain is a <b>multi-body model</b>.
It is composed of several <b>solid bodies connected with springs and dampers</b>.
The solid bodies are represented with different colors on figure <a href="#org15f16cb">3</a>.
The solid bodies are represented with different colors on figure <a href="#org50ddea3">3</a>.
</p>
<p>
@ -372,7 +372,7 @@ In the simscape model, the solid bodies are:
</ul>
<div id="org15f16cb" class="figure">
<div id="org50ddea3" class="figure">
<p><img src="img/nass_solidworks.png" alt="nass_solidworks.png" width="800px" />
</p>
<p><span class="figure-number">Figure 3: </span>CAD view of the ID31 Micro-Station</p>
@ -389,20 +389,20 @@ The modal identification done here will thus permit us to determine <b>which DOF
</div>
</div>
<div id="outline-container-org9414b8d" class="outline-2">
<h2 id="org9414b8d"><span class="section-number-2">3</span> Instrumentation Used</h2>
<div id="outline-container-org310cee8" class="outline-2">
<h2 id="org310cee8"><span class="section-number-2">3</span> Instrumentation Used</h2>
<div class="outline-text-2" id="text-3">
<p>
In order to perform to Modal Analysis and to obtain first a Response Model, the following devices are used:
</p>
<ul class="org-ul">
<li>An <b>acquisition system</b> (OROS) with 24bits ADCs (figure <a href="#org754b9bb">4</a>)</li>
<li>3 tri-axis <b>Accelerometers</b> (figure <a href="#org60ed8da">5</a>) with parameters shown on table <a href="#org3ef74f2">1</a></li>
<li>An <b>Instrumented Hammer</b> with various Tips (figure <a href="#org4dfa916">6</a>) (figure <a href="#orgeffae9f">7</a>)</li>
<li>An <b>acquisition system</b> (OROS) with 24bits ADCs (figure <a href="#orgd39f5b0">4</a>)</li>
<li>3 tri-axis <b>Accelerometers</b> (figure <a href="#org56f6574">5</a>) with parameters shown on table <a href="#orgcd77afb">1</a></li>
<li>An <b>Instrumented Hammer</b> with various Tips (figure <a href="#org884f1be">6</a>) (figure <a href="#orgb0f94b7">7</a>)</li>
</ul>
<div id="org754b9bb" class="figure">
<div id="orgd39f5b0" class="figure">
<p><img src="img/instrumentation/oros.png" alt="oros.png" width="500px" />
</p>
<p><span class="figure-number">Figure 4: </span>Acquisition system: OROS</p>
@ -415,13 +415,13 @@ Anti-aliasing filters are also included in the system.
</p>
<div id="org60ed8da" class="figure">
<div id="org56f6574" class="figure">
<p><img src="img/instrumentation/accelero_M393B05.png" alt="accelero_M393B05.png" width="500px" />
</p>
<p><span class="figure-number">Figure 5: </span>Accelerometer used: M393B05</p>
</div>
<table id="org3ef74f2" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<table id="orgcd77afb" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
<caption class="t-above"><span class="table-number">Table 1:</span> 393B05 Accelerometer Data Sheet</caption>
<colgroup>
@ -464,14 +464,14 @@ It excites more the low frequency range where the coherence is low, the overall
</p>
<div id="org4dfa916" class="figure">
<div id="org884f1be" class="figure">
<p><img src="img/instrumentation/instrumented_hammer.png" alt="instrumented_hammer.png" width="500px" />
</p>
<p><span class="figure-number">Figure 6: </span>Instrumented Hammer</p>
</div>
<div id="orgeffae9f" class="figure">
<div id="orgb0f94b7" class="figure">
<p><img src="img/instrumentation/hammer_tips.png" alt="hammer_tips.png" width="500px" />
</p>
<p><span class="figure-number">Figure 7: </span>Hammer tips</p>
@ -483,12 +483,12 @@ The accelerometers are glued on the structure.
</div>
</div>
<div id="outline-container-org521ef27" class="outline-2">
<h2 id="org521ef27"><span class="section-number-2">4</span> Structure Preparation and Test Planning</h2>
<div id="outline-container-orgf97c121" class="outline-2">
<h2 id="orgf97c121"><span class="section-number-2">4</span> Structure Preparation and Test Planning</h2>
<div class="outline-text-2" id="text-4">
</div>
<div id="outline-container-orga7b6b16" class="outline-3">
<h3 id="orga7b6b16"><span class="section-number-3">4.1</span> Structure Preparation</h3>
<div id="outline-container-org5c941d9" class="outline-3">
<h3 id="org5c941d9"><span class="section-number-3">4.1</span> Structure Preparation</h3>
<div class="outline-text-3" id="text-4-1">
<p>
All the stages are turned ON.
@ -531,8 +531,8 @@ All other elements have been remove from the granite such as another heavy posit
</div>
</div>
<div id="outline-container-org62eba0c" class="outline-3">
<h3 id="org62eba0c"><span class="section-number-3">4.2</span> Test Planing</h3>
<div id="outline-container-orga7881c5" class="outline-3">
<h3 id="orga7881c5"><span class="section-number-3">4.2</span> Test Planing</h3>
<div class="outline-text-3" id="text-4-2">
<p>
The goal is to identify the full \(N \times N\) FRF matrix (where \(N\) is the number of degree of freedom of the system).
@ -565,8 +565,8 @@ The measurement thus consists of:
</div>
</div>
<div id="outline-container-org9c54744" class="outline-3">
<h3 id="org9c54744"><span class="section-number-3">4.3</span> Location of the Accelerometers</h3>
<div id="outline-container-org29d5107" class="outline-3">
<h3 id="org29d5107"><span class="section-number-3">4.3</span> Location of the Accelerometers</h3>
<div class="outline-text-3" id="text-4-3">
<p>
4 tri-axis accelerometers are used for each solid body.
@ -585,29 +585,29 @@ The position of the accelerometers are:
</p>
<ul class="org-ul">
<li>4 on the first granite</li>
<li>4 on the second granite (figure <a href="#org40cad46">8</a>)</li>
<li>4 on top of the translation stage (figure <a href="#org48c6c2d">9</a>)</li>
<li>4 on the second granite (figure <a href="#org303ab16">8</a>)</li>
<li>4 on top of the translation stage (figure <a href="#orgcd9174c">9</a>)</li>
<li>4 on top of the tilt stage</li>
<li>4 on top of the spindle</li>
<li>4 on top of the hexapod (figure <a href="#org8e536a4">10</a>)</li>
<li>4 on top of the hexapod (figure <a href="#orgffeb50a">10</a>)</li>
</ul>
<div id="org40cad46" class="figure">
<div id="org303ab16" class="figure">
<p><img src="img/accelerometers/accelerometers_granite2_overview.jpg" alt="accelerometers_granite2_overview.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 8: </span>Accelerometers located on the top granite</p>
</div>
<div id="org48c6c2d" class="figure">
<div id="orgcd9174c" class="figure">
<p><img src="img/accelerometers/accelerometers_ty_overview.jpg" alt="accelerometers_ty_overview.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 9: </span>Accelerometers located on top of the translation stage</p>
</div>
<div id="org8e536a4" class="figure">
<div id="orgffeb50a" class="figure">
<p><img src="img/accelerometers/accelerometers_hexa_overview.jpg" alt="accelerometers_hexa_overview.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 10: </span>Accelerometers located on the Hexapod</p>
@ -615,33 +615,33 @@ The position of the accelerometers are:
</div>
</div>
<div id="outline-container-org2ba755b" class="outline-3">
<h3 id="org2ba755b"><span class="section-number-3">4.4</span> Hammer Impacts</h3>
<div id="outline-container-orgc0e962e" class="outline-3">
<h3 id="orgc0e962e"><span class="section-number-3">4.4</span> Hammer Impacts</h3>
<div class="outline-text-3" id="text-4-4">
<p>
Only 3 impact points are used.
</p>
<p>
The impact points are shown on figures <a href="#orgda6fe26">11</a>, <a href="#org5c809cf">12</a> and <a href="#org225af9b">13</a>.
The impact points are shown on figures <a href="#org72a7b07">11</a>, <a href="#orgef17f95">12</a> and <a href="#org0a21f45">13</a>.
</p>
<div id="orgda6fe26" class="figure">
<div id="org72a7b07" class="figure">
<p><img src="img/impacts/hammer_x.gif" alt="hammer_x.gif" width="300px" />
</p>
<p><span class="figure-number">Figure 11: </span>Hammer Blow in the X direction</p>
</div>
<div id="org5c809cf" class="figure">
<div id="orgef17f95" class="figure">
<p><img src="img/impacts/hammer_y.gif" alt="hammer_y.gif" width="300px" />
</p>
<p><span class="figure-number">Figure 12: </span>Hammer Blow in the Y direction</p>
</div>
<div id="org225af9b" class="figure">
<div id="org0a21f45" class="figure">
<p><img src="img/impacts/hammer_z.gif" alt="hammer_z.gif" width="300px" />
</p>
<p><span class="figure-number">Figure 13: </span>Hammer Blow in the Z direction</p>
@ -650,15 +650,15 @@ The impact points are shown on figures <a href="#orgda6fe26">11</a>, <a href="#o
</div>
</div>
<div id="outline-container-org9bef537" class="outline-2">
<h2 id="org9bef537"><span class="section-number-2">5</span> Signal Processing</h2>
<div id="outline-container-org9ae437a" class="outline-2">
<h2 id="org9ae437a"><span class="section-number-2">5</span> Signal Processing</h2>
<div class="outline-text-2" id="text-5">
<p>
The measurements are averaged 10 times (figure <a href="#orge55de2d">14</a>) corresponding to 10 hammer impacts.
The measurements are averaged 10 times (figure <a href="#orgab42dd8">14</a>) corresponding to 10 hammer impacts.
</p>
<div id="orge55de2d" class="figure">
<div id="orgab42dd8" class="figure">
<p><img src="img/parameters/general_parameters.jpg" alt="general_parameters.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 14: </span>General Acquisition Settings</p>
@ -669,22 +669,22 @@ Windowing is used on the force response signals.
</p>
<p>
A boxcar window (figure <a href="#orgd266960">15</a>) is used for the force signal as once the impact on the structure is done, the measured signal is meaningless.
A boxcar window (figure <a href="#orgf9632bc">15</a>) is used for the force signal as once the impact on the structure is done, the measured signal is meaningless.
</p>
<p>
An exponential window (figure <a href="#orgea90be6">16</a>) is used for the response signal as we are measuring transient signals and most of the information is located at the beginning of the signal.
An exponential window (figure <a href="#org2465442">16</a>) is used for the response signal as we are measuring transient signals and most of the information is located at the beginning of the signal.
</p>
<div id="orgd266960" class="figure">
<div id="orgf9632bc" class="figure">
<p><img src="img/parameters/window_force.jpg" alt="window_force.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 15: </span>Window used for the force signal</p>
</div>
<div id="orgea90be6" class="figure">
<div id="org2465442" class="figure">
<p><img src="img/parameters/window_response.jpg" alt="window_response.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 16: </span>Window used for the response signal</p>
@ -692,12 +692,12 @@ An exponential window (figure <a href="#orgea90be6">16</a>) is used for the resp
</div>
</div>
<div id="outline-container-org857fbe9" class="outline-2">
<h2 id="org857fbe9"><span class="section-number-2">6</span> Frequency Response Functions and Coherence Results</h2>
<div id="outline-container-orgb4b5845" class="outline-2">
<h2 id="orgb4b5845"><span class="section-number-2">6</span> Frequency Response Functions and Coherence Results</h2>
<div class="outline-text-2" id="text-6">
</div>
<div id="outline-container-org32f97d8" class="outline-3">
<h3 id="org32f97d8"><span class="section-number-3">6.1</span> Load Data</h3>
<div id="outline-container-org0b8d2e8" class="outline-3">
<h3 id="org0b8d2e8"><span class="section-number-3">6.1</span> Load Data</h3>
<div class="outline-text-3" id="text-6-1">
<div class="org-src-container">
<pre class="src src-matlab">meas1_raw = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'modal_analysis/raw_data/Measurement1.mat'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
@ -706,37 +706,37 @@ An exponential window (figure <a href="#orgea90be6">16</a>) is used for the resp
</div>
</div>
<div id="outline-container-orgf4cdb9c" class="outline-3">
<h3 id="orgf4cdb9c"><span class="section-number-3">6.2</span> Raw Force Data</h3>
<div id="outline-container-org09fa58b" class="outline-3">
<h3 id="org09fa58b"><span class="section-number-3">6.2</span> Raw Force Data</h3>
<div class="outline-text-3" id="text-6-2">
<div id="org57be466" class="figure">
<div id="org631069c" class="figure">
<p><img src="figs/raw_data_force.png" alt="raw_data_force.png" />
</p>
<p><span class="figure-number">Figure 17: </span>Raw Force Data from Hammer Blow</p>
</div>
<div id="orgbfddb0e" class="figure">
<p><img src="figs/raw_data_foce_zoom.png" alt="raw_data_foce_zoom.png" />
<div id="org07c120c" class="figure">
<p><img src="figs/raw_data_force_zoom.png" alt="raw_data_force_zoom.png" />
</p>
<p><span class="figure-number">Figure 18: </span>Raw Force Data from Hammer Blow - Zoom</p>
</div>
</div>
</div>
<div id="outline-container-org8a25453" class="outline-3">
<h3 id="org8a25453"><span class="section-number-3">6.3</span> Raw Response Data</h3>
<div id="outline-container-orgcebfe3f" class="outline-3">
<h3 id="orgcebfe3f"><span class="section-number-3">6.3</span> Raw Response Data</h3>
<div class="outline-text-3" id="text-6-3">
<div id="orga662a1c" class="figure">
<div id="org3d67424" class="figure">
<p><img src="figs/raw_data_acceleration.png" alt="raw_data_acceleration.png" />
</p>
<p><span class="figure-number">Figure 19: </span>Raw Acceleration Data from Accelerometer</p>
</div>
<div id="org1b7a108" class="figure">
<div id="org5ca4a63" class="figure">
<p><img src="figs/raw_data_acceleration_zoom.png" alt="raw_data_acceleration_zoom.png" />
</p>
<p><span class="figure-number">Figure 20: </span>Raw Acceleration Data from Accelerometer - Zoom</p>
@ -744,8 +744,8 @@ An exponential window (figure <a href="#orgea90be6">16</a>) is used for the resp
</div>
</div>
<div id="outline-container-org7c2ca7a" class="outline-3">
<h3 id="org7c2ca7a"><span class="section-number-3">6.4</span> Load Data</h3>
<div id="outline-container-org06b518f" class="outline-3">
<h3 id="org06b518f"><span class="section-number-3">6.4</span> Load Data</h3>
<div class="outline-text-3" id="text-6-4">
<div class="org-src-container">
<pre class="src src-matlab">meas1 = load<span class="org-rainbow-delimiters-depth-1">(</span><span class="org-string">'modal_analysis/frf_coh/Measurement1.mat'</span><span class="org-rainbow-delimiters-depth-1">)</span>;
@ -754,18 +754,18 @@ An exponential window (figure <a href="#orgea90be6">16</a>) is used for the resp
</div>
</div>
<div id="outline-container-org21b3b6b" class="outline-3">
<h3 id="org21b3b6b"><span class="section-number-3">6.5</span> FRF and Coherence Results</h3>
<div id="outline-container-org8a034c5" class="outline-3">
<h3 id="org8a034c5"><span class="section-number-3">6.5</span> FRF and Coherence Results</h3>
<div class="outline-text-3" id="text-6-5">
<div id="orge9d2826" class="figure">
<div id="org48a1265" class="figure">
<p><img src="figs/frf_result_example.png" alt="frf_result_example.png" />
</p>
<p><span class="figure-number">Figure 21: </span>Example of one measured FRF</p>
</div>
<div id="orgfae7d9a" class="figure">
<div id="orgd80d4f8" class="figure">
<p><img src="figs/coh_result_example.png" alt="coh_result_example.png" />
</p>
<p><span class="figure-number">Figure 22: </span>Example of one measured Coherence</p>
@ -774,8 +774,8 @@ An exponential window (figure <a href="#orgea90be6">16</a>) is used for the resp
</div>
</div>
<div id="outline-container-org01620a5" class="outline-2">
<h2 id="org01620a5"><span class="section-number-2">7</span> Mode Shapes</h2>
<div id="outline-container-orgac058d8" class="outline-2">
<h2 id="orgac058d8"><span class="section-number-2">7</span> Mode Shapes</h2>
<div class="outline-text-2" id="text-7">
<p>
Multiple modal extraction techniques can be used (SIMO, MIMO, narrow band, wide band, &#x2026;).
@ -783,70 +783,70 @@ First preliminary results on 10 identified modes are presented here.
</p>
<div id="orgaa57efe" class="figure">
<div id="orgfe488f1" class="figure">
<p><img src="img/modes/mode1.gif" alt="mode1.gif" />
</p>
<p><span class="figure-number">Figure 23: </span>Mode 1</p>
</div>
<div id="org67a662e" class="figure">
<div id="org2472674" class="figure">
<p><img src="img/modes/mode2.gif" alt="mode2.gif" />
</p>
<p><span class="figure-number">Figure 24: </span>Mode 2</p>
</div>
<div id="org442b3c1" class="figure">
<div id="org9a9b380" class="figure">
<p><img src="img/modes/mode3.gif" alt="mode3.gif" />
</p>
<p><span class="figure-number">Figure 25: </span>Mode 3</p>
</div>
<div id="org874bdc2" class="figure">
<div id="orgd1727ad" class="figure">
<p><img src="img/modes/mode4.gif" alt="mode4.gif" />
</p>
<p><span class="figure-number">Figure 26: </span>Mode 4</p>
</div>
<div id="org17b0003" class="figure">
<div id="org536ee69" class="figure">
<p><img src="img/modes/mode5.gif" alt="mode5.gif" />
</p>
<p><span class="figure-number">Figure 27: </span>Mode 5</p>
</div>
<div id="orge792930" class="figure">
<div id="org98fa083" class="figure">
<p><img src="img/modes/mode6.gif" alt="mode6.gif" />
</p>
<p><span class="figure-number">Figure 28: </span>Mode 6</p>
</div>
<div id="org51bf469" class="figure">
<div id="orgf022d88" class="figure">
<p><img src="img/modes/mode7.gif" alt="mode7.gif" />
</p>
<p><span class="figure-number">Figure 29: </span>Mode 7</p>
</div>
<div id="orgbbbf537" class="figure">
<div id="orgbeb671e" class="figure">
<p><img src="img/modes/mode8.gif" alt="mode8.gif" />
</p>
<p><span class="figure-number">Figure 30: </span>Mode 8</p>
</div>
<div id="orgda7c6b4" class="figure">
<div id="org1760301" class="figure">
<p><img src="img/modes/mode9.gif" alt="mode9.gif" />
</p>
<p><span class="figure-number">Figure 31: </span>Mode 9</p>
</div>
<div id="org3deb93b" class="figure">
<div id="org6eb411b" class="figure">
<p><img src="img/modes/mode10.gif" alt="mode10.gif" />
</p>
<p><span class="figure-number">Figure 32: </span>Mode 10</p>
@ -854,8 +854,8 @@ First preliminary results on 10 identified modes are presented here.
</div>
</div>
<div id="outline-container-org7403c04" class="outline-2">
<h2 id="org7403c04"><span class="section-number-2">8</span> Obtained Modal Matrices</h2>
<div id="outline-container-org702a85b" class="outline-2">
<h2 id="org702a85b"><span class="section-number-2">8</span> Obtained Modal Matrices</h2>
<div class="outline-text-2" id="text-8">
<p>
From the modal analysis software, we can export the obtained <b>eigen matrices</b>:
@ -963,15 +963,15 @@ Mode matrix of local coordinate [DOF: Re IM]
</div>
</div>
<div id="outline-container-orge615fec" class="outline-2">
<h2 id="orge615fec"><span class="section-number-2">9</span> Problem with AirLoc System</h2>
<div id="outline-container-orgbc37a2c" class="outline-2">
<h2 id="orgbc37a2c"><span class="section-number-2">9</span> Problem with AirLoc System</h2>
<div class="outline-text-2" id="text-9">
<p>
4 Airloc Levelers are used for the granite (figure <a href="#orgd24cfea">33</a>).
4 Airloc Levelers are used for the granite (figure <a href="#orgc07cace">33</a>).
</p>
<div id="orgd24cfea" class="figure">
<div id="orgc07cace" class="figure">
<p><img src="img/airloc/IMG_20190618_155522.jpg" alt="IMG_20190618_155522.jpg" width="500px" />
</p>
<p><span class="figure-number">Figure 33: </span>AirLoc used for the granite (2120-KSKC)</p>
@ -983,13 +983,13 @@ They are probably <b>not well leveled</b> so that could explain the first modes
</div>
</div>
<div id="outline-container-orge98bc94" class="outline-2">
<h2 id="orge98bc94"><span class="section-number-2">10</span> Spatial Mode Extraction</h2>
<div id="outline-container-orgc2b2b54" class="outline-2">
<h2 id="orgc2b2b54"><span class="section-number-2">10</span> Spatial Mode Extraction</h2>
</div>
</div>
<div id="postamble" class="status">
<p class="author">Author: Dehaeze Thomas</p>
<p class="date">Created: 2019-06-19 mer. 11:14</p>
<p class="date">Created: 2019-06-19 mer. 11:15</p>
<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
</div>
</body>