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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>LINK_TOPO</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 = "header"><p class = "abstract">
<span class = "shortdesc">Definition of symmetry and link conditions for topology optimization.</span>

</p>
<p>This page discusses: </p><ul><li><a href = "#tso-r-cmd-linkTopo__tso-r-cmd-linkTopo-clientItems" id = "toc_rg" title = ""> Special items for CLIENT parameters</a></li><li><a href = "#tso-r-cmd-linkTopo__tso-r-cmd-linkTopo-expl" id = "toc_rg" title = "">Examples</a></li></ul>
</p></td></tr></table></td></tr></table>




<div class = "body refbody">
<table class = "table" id = "tso-r-cmd-linkTopo__aa1397378"><caption/><colgroup><col/><col/><col/></colgroup><tbody class = "tbody">
<tr class = "row">
<td class = "entry"><p><span class = "ph uicontrol">ID_NAME</span></p></td>
<td class = "entry"><p>= &lt;<code class = "ph codeph">id_name_of_link_topo</code>&gt;</p></td>
<td class = "entry"><p>Name of the link condition.</p></td>
</tr>
<tr class = "row">
<td class = "entry"><p><span class = "ph uicontrol">TYPE</span></p></td>
<td class = "entry"/>
<td class = "entry"><p>Type of the link condition.</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= <code class = "ph codeph">POINT_SYM</code></p></td>
<td class = "entry"><p>Point symmetry referring to the origin of the coordinate system.</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= <code class = "ph codeph">PLANE_SYM, AXIS_1</code></p><p>= <code class = "ph codeph">PLANE_SYM, AXIS_2</code></p><p>= <code class = "ph codeph">PLANE_SYM, AXIS_3</code></p></td>
<td class = "entry"><p>Plane symmetry referring to the plane which lies perpendicular to the given axis of the coordinate system.</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= <code class = "ph codeph">ROTATION_SYM, AXIS_1</code></p><p>= <code class = "ph codeph">ROTATION_SYM, AXIS_2</code></p><p>= <code class = "ph codeph">ROTATION_SYM, AXIS_3</code></p></td>
<td class = "entry"><p>Rotational symmetry referring to the axis of the coordinate system. The angle for the repeating segments might be defined by the user.</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= <code class = "ph codeph">CYCLIC_SYM, AXIS_1</code></p><p>= <code class = "ph codeph">CYCLIC_SYM, AXIS_2</code></p><p>= <code class = "ph codeph">CYCLIC_SYM, AXIS_3</code></p></td>
<td class = "entry"><p>Cyclic symmetry definition.</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= <code class = "ph codeph">LINK_SYM</code></p></td>
<td class = "entry"><p>Coupling of single element groups.</p></td>
</tr>
<tr class = "row">
<td class = "entry"><p><span class = "ph uicontrol">CS</span></p></td>
<td class = "entry"><p>= &lt;<code class = "ph codeph">name_of_cs</code>&gt;</p></td>
<td class = "entry"><p>Name of the coordinate system that should be used for the link definitions.</p></td>
</tr>
<tr class = "row">
<td class = "entry"><p><span class = "ph uicontrol">IGNORE_FROZEN</span></p></td>
<td class = "entry"><p><span class = "ph uicontrol">= FALSE</span></p><p>= TRUE</p></td>
<td class = "entry"><p>The frozen elements might be excluded from the link definitions.</p></td>
</tr>
<tr class = "row">
<td class = "entry"><p><span class = "ph uicontrol">ANGLE</span> </p></td>
<td class = "entry"><p>= &lt;<code class = "ph codeph">angle</code>&gt;</p></td>
<td class = "entry"><p>Angle for the segment repeating. Must be greater than 2°.</p></td>
</tr>
<tr class = "row">
<td class = "entry"><p><span class = "ph uicontrol">TRANSLATION</span> </p></td>
<td class = "entry"><p>= &lt;<code class = "ph codeph">translation</code>&gt;</p></td>
<td class = "entry"><p>Translation amount for the segments.</p></td>
</tr>
<tr class = "row">
<td class = "entry"><p><span class = "ph uicontrol">GROUP_MAIN</span> </p></td>
<td class = "entry"><p>= &lt;<code class = "ph codeph">name_of_element_group</code>&gt;</p></td>
<td class = "entry"><p>Name of the element group that defines the reference segment.</p></td>
</tr>
<tr class = "row">
<td class = "entry"><p><span class = "ph uicontrol">CS_CHILD</span></p></td>
<td class = "entry"><p>= &lt;<code class = "ph codeph">name_of_cs_child</code>&gt;</p></td>
<td class = "entry"><p>Name of the coordinate system that defines the position of the corresponding segment referring to the <code class = "ph codeph">GROUP_MAIN</code> element group. Multiple child coordinate systems might be defined. See also figure below.</p></td>
</tr>
<tr class = "row">
<td class = "entry"><p><span class = "ph uicontrol">MAIN</span></p></td>
<td class = "entry"><p><span class = "ph uicontrol">= AUTO</span></p></td>
<td class = "entry"><p><code class = "ph codeph">AUTO</code> will switch to <code class = "ph codeph">MAX</code> for controller-based optimizations and to <code class = "ph codeph">AVG</code> for sensitivity-based optimizations.</p></td>
</tr>

<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= MAX</p></td>
<td class = "entry"><p>The maximum value of the equivalent elements defines the symmetry.</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= AVG</p></td>
<td class = "entry"><p>The average value of the equivalent elements defines the symmetry.</p></td>
</tr>
<tr class = "row">
<td class = "entry"/>
<td class = "entry"><p>= GROUP</p></td>
<td class = "entry"><p>The reference group overwrites the child groups.</p></td>
</tr>
</tbody></table>

<div class = "example" id = "tso-r-cmd-linkTopo__aa1587562">
<p>The following figure shows the definition of <code class = "ph codeph">CS_CHILD</code> for <code class = "ph codeph">TYPE=LINK_SYM</code>:</p>
<table class = "table" id = "tso-r-cmd-linkTopo__aa2111744"><caption/><colgroup><col/></colgroup><tbody class = "tbody">
<tr class = "row">
<td class = "entry"><br/><img class = "image" id = "tso-r-cmd-linkTopo__image_4A80A90B67574F4E8B3CD0975FE3AF48" src = "../TsoCmdImages/aa203903.jpg" width = "585" height = "192"/><br/></td>
</tr>
</tbody></table>

</div>
<div class = "section" id = "tso-r-cmd-linkTopo__tso-r-cmd-linkTopo-clientItems"><h2 class = "title sectiontitle"> Special items for CLIENT parameters</h2>

<p>Not all entries are allowed for each parameter as shown in the following table: </p>
<table class = "table" id = "tso-r-cmd-linkTopo__aa2111549"><caption/><colgroup><col/><col/><col/><col/><col/><col/></colgroup><thead class = "thead">
<tr class = "row">
<th class = "entry" id = "tso-r-cmd-linkTopo__aa2111549__entry__1"/>
<th class = "entry" id = "tso-r-cmd-linkTopo__aa2111549__entry__2"><p>POINT_SYM</p></th>
<th class = "entry" id = "tso-r-cmd-linkTopo__aa2111549__entry__3"><p>PLANE_SYM</p></th>
<th class = "entry" id = "tso-r-cmd-linkTopo__aa2111549__entry__4"><p>ROTATION_SYM</p></th>
<th class = "entry" id = "tso-r-cmd-linkTopo__aa2111549__entry__5"><p>CYCLIC_SYM</p></th>
<th class = "entry" id = "tso-r-cmd-linkTopo__aa2111549__entry__6"><p>LINK_SYM</p></th>
</tr>
</thead><tbody class = "tbody">
<tr class = "row">
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__1"><p>ID_NAME</p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__2"><p><span class = "ph uicontrol">x</span></p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__3"><p><span class = "ph uicontrol">x</span></p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__4"><p><span class = "ph uicontrol">x</span></p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__5"><p><span class = "ph uicontrol">x</span></p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__6"><p><span class = "ph uicontrol">x</span></p></td>
</tr>
<tr class = "row">
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__1"><p>TYPE</p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__2"><p><span class = "ph uicontrol">x</span></p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__3"><p><span class = "ph uicontrol">x</span></p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__4"><p><span class = "ph uicontrol">x</span></p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__5"><p><span class = "ph uicontrol">x</span></p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__6"><p><span class = "ph uicontrol">x</span></p></td>
</tr>
<tr class = "row">
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__1"><p>CS</p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__2"><p><span class = "ph uicontrol">x</span></p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__3"><p><span class = "ph uicontrol">x</span></p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__4"><p><span class = "ph uicontrol">x</span></p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__5"><p><span class = "ph uicontrol">x</span></p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__6"><p><span class = "ph uicontrol">x</span></p></td>
</tr>
<tr class = "row">
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__1"><p>IGNORE_FROZEN</p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__2"><p><span class = "ph uicontrol">x</span></p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__3"><p><span class = "ph uicontrol">x</span></p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__4"><p><span class = "ph uicontrol">x</span></p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__5"><p><span class = "ph uicontrol">x</span></p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__6"><p><span class = "ph uicontrol">x</span></p></td>
</tr>
<tr class = "row">
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__1"><p>ANGLE</p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__2"><p>-</p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__3"><p>-</p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__4"><p><span class = "ph uicontrol">x</span></p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__5"><p>-</p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__6"><p>-</p></td>
</tr>
<tr class = "row">
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__1"><p>TRANSLATION</p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__2"><p>-</p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__3"><p>-</p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__4"><p>-</p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__5"><p><span class = "ph uicontrol">x</span></p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__6"><p>-</p></td>
</tr>
<tr class = "row">
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__1"><p>GROUP_MAIN</p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__2"><p>-</p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__3"><p>-</p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__4"><p>-</p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__5"><p>-</p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__6"><p><span class = "ph uicontrol">x</span></p></td>
</tr>
<tr class = "row">
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__1"><p>CS_CHILD</p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__2"><p>-</p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__3"><p>-</p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__4"><p>-</p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__5"><p>-</p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__6"><p><span class = "ph uicontrol">x</span></p></td>
</tr>
<tr class = "row">
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__1"><p>MAIN</p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__2"><p>-</p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__3"><p>-</p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__4"><p>-</p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__5"><p>-</p></td>
<td class = "entry" headers = "tso-r-cmd-linkTopo__aa2111549__entry__6"><p><span class = "ph uicontrol">x</span></p></td>
</tr>
</tbody></table>

</div>

<div class = "section" id = "tso-r-cmd-linkTopo__tso-r-cmd-linkTopo-expl"><p><map name = "FPMap1"><area href = "#hj-top" title = "Back to Top" shape = "rect" coords = "416, 0, 435, 10"/></map><span class = "itemsprite"/></p><h2 class = "title sectiontitle">Examples</h2>

<pre class = "codeblock">
<code class = "ph codeph">LINK_TOPO
 ID_NAME  = PLANE_SYMMETRY
 TYPE = PLANE_SYM, AXIS_2
 CS =<code class = "ph codeph"> CS_0
</code><code class = "ph codeph">END_</code>
LINK_TOPO
 ID_NAME  = LINK_CONDITION
 TYPE = LINK_SYM
 CS = CS_0
 GROUP_MAIN =<var class = "keyword varname varname"> EL_MAIN
</var> CS_CHILD =<var class = "keyword varname varname"> CS_CHILD1
</var> CS_CHILD =<var class = "keyword varname varname"> CS_CHILD2
</var>END_
</code></pre>
</div>

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