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<a name = "hj-top"> </a><table class = "table1" id = "table11"><tr><td><table class = "DocHeader"><tr><td class = "DocHeader1" colspan = "2"><h1>Minimizing the Volume of the AirbeamVol Model</h1></td></tr><tr><td class = "DocHeader4" colspan = "2"/></tr><tr><td class = "DocHeader3" colspan = "2"><table class = "DocThemeIntro" id = "table12"><tr><td class = "Intro1Only"><p class = "shortdesc">In this section, the main components of the AirbeamVol setup are shown.
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<div class = "body taskbody">
<section><ol class = "ol steps"><li class = "li step stepexpand">
To define the objective of minimizing the volume, do the following:
<ol type = "a" class = "ol substeps">
<li class = "li substep">
Define a Design Response (DRESP) of type volume:
<div class = "itemgroup stepresult">
<pre class = "codeblock">
DRESP
  ID_NAME    = DRESP_VOL_TOPO
  DEF_TYPE   = SYSTEM
  TYPE       = VOLUME
  UPDATE     = EVER
  EL_GROUP   = ALL_ELEMENTS
  GROUP_OPER = SUM
END_
</pre>
</div>
</li>
<li class = "li substep">
Define the Objective Function (OBJ_FUNC) and reference the Design Response:
<div class = "itemgroup stepresult">
<pre class = "codeblock">
OBJ_FUNC
  ID_NAME    = min_vol
  DRESP      = DRESP_VOL_TOPO
  TARGET     = MIN
END_
</pre>
</div>
</li>
</ol>
</li><li class = "li step stepexpand">
To define the displacement constraint, do the following:
<ol type = "a" class = "ol substeps">
<li class = "li substep">
Define a Design Response (DRESP) that refers to the absolute displacement of node 110.
<div class = "itemgroup stepresult">
<pre class = "codeblock">
DRESP
  ID_NAME    = DRESP_DISP1_ABS_MAX
  TYPE       = DISP_Y_ABS
  DEF_TYPE   = SYSTEM
  NODE       = 110
END_
</pre>
</div>
</li>
<li class = "li substep">
Define a less equal constraint (CONSTRAINT) that references the Design Response and constrains its value to a maximum displacement of 0.06mm.
<div class = "itemgroup stepresult">
<pre class = "codeblock">
CONSTRAINT
  ID_NAME    = DISP_constraint
  DRESP      = DRESP_DISP1_ABS_MAX
  MAGNITUDE  = ABS
  LE_VALUE   = 0.06
END_
</pre>
</div>
</li>
</ol>
</li><li class = "li step stepexpand">
To avoid a checkerboard effect and to enforce a minimum member size, increase the
default filter radius with the OPT_PARAM command:
<div class = "itemgroup stepresult">
<pre class = "codeblock">
OPT_PARAM
  ID_NAME       = OPT_PARAMS
  OPTIMIZE      = TOPOLOGY_OPTIMIZATION
  FILTER_RADIUS = 2.5
END_
</pre>
<p>Setting the filter radius this way has the same effect as using a minimum member size
restriction.</p>
</div>
</li></ol></section>
<p class = "result">The optimization result looks as follows:
<br/><img class = "image" src = "../TsoExampleImages/abaqus_airbeam_vol_result.png" width = "600"/><br/>
The smoothed result is generated as well and is shown below:
<br/><img class = "image" src = "../TsoExampleImages/abaqus_airbeam_vol_smooth.png" width = "600"/><br/>
</p>
</div>

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