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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>Plane Symmetry (<code class = "ph codeph">PLANE_SYM</code>)</h1></td></tr><tr><td class = "DocHeader4" colspan = "2"/></tr><tr><td class = "DocHeader3"><table class = "DocHeaderIntro" id = "table12"><tr><td class = "Intro1Only"><p class = "header"><p class = "abstract">
<span class = "shortdesc">
Couple design nodes that are symmetric to a plane - for symmetric meshes.
</span>

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</p></td></tr></table></td><td class = "DocHeader2"><table class = "DocTopicsSeeAlso" id = "table13"><tr><td class = "TopicsTitle">See Also</td></tr></table><table class = "DocTopicsInOtherGuides" id = "table14"><tr><td height = "8px"/></tr><tr><td class = "TopicsTitleNormal">In Other Guides</td></tr><tr><td><a title = "Defines link conditions (coupling conditions) for nodes in shape optimization." href = "../TsoCmdMap/tso-r-cmd-linkShape.htm">LINK_SHAPE</a></td></tr></table></td></tr></table>




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<p>
<table class = "table" id = "tso-c-usr-shape-desArea-lsPlaneSym__table_73167354FC5F43F49E2EDE6AF1E016F7"><caption/><colgroup><col style = "width:33.33333333333333%"/><col style = "width:33.33333333333333%"/><col style = "width:33.33333333333333%"/></colgroup><thead class = "thead">
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<th class = "entry" id = "tso-c-usr-shape-desArea-lsPlaneSym__table_73167354FC5F43F49E2EDE6AF1E016F7__entry__1">CLIENT / Applicable for</th>
<th class = "entry align-center" id = "tso-c-usr-shape-desArea-lsPlaneSym__table_73167354FC5F43F49E2EDE6AF1E016F7__entry__2">SHAPE_CONTROLLER</th>
<th class = "entry align-center" id = "tso-c-usr-shape-desArea-lsPlaneSym__table_73167354FC5F43F49E2EDE6AF1E016F7__entry__3">SHAPE_SENSITIVITY</th>
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<td class = "entry" headers = "tso-c-usr-shape-desArea-lsPlaneSym__table_73167354FC5F43F49E2EDE6AF1E016F7__entry__1">PLANE_SYM</td>
<td class = "entry align-center" headers = "tso-c-usr-shape-desArea-lsPlaneSym__table_73167354FC5F43F49E2EDE6AF1E016F7__entry__2">OK</td>
<td class = "entry align-center" headers = "tso-c-usr-shape-desArea-lsPlaneSym__table_73167354FC5F43F49E2EDE6AF1E016F7__entry__3">-</td>
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<p>To be able to couple displacements symmetric to a plane, the position and the orientation of the
            plane must be exactly specified. It is also necessary to specify tolerances to identify
            symmetric nodes. The following four parameters are necessary for the definition of the
            link condition:</p>
<pre class = "codeblock">
<code class = "ph codeph">
CLIENT     = PLANE_SYM
CLIENT_DIR = &lt;X_1&gt;, &lt;X_2&gt;, &lt;X_3&gt;
CS         = name_of_coord_system
TOL        = &lt;tol_1&gt;, &lt;tol_2&gt;, &lt;tol_3&gt;
</code>
</pre>
<p>The origin of the coordinate system referenced by CS defines a point on
the plane. The direction specified by the <code class = "ph codeph">CLIENT_DIR</code>
parameter defines the normal of the plane. The symmetry of the nodes
(assigned by <code class = "ph codeph">ND_GROUP</code> in the <code class = "ph codeph">DVCON_SHAPE</code>
command) is checked against the symmetry plane. Symmetric nodes are
assembled into a symmetry group (normally two symmetric nodes per symmetry
group). Then the main node of the symmetry group is determined and
the displacements of the client nodes are calculated in such a way that
they move symmetrically to the plane of the main node (see the following
figure).</p>
<p>The tolerances are required to identify symmetric nodes. Symmetric nodes share equal coordinates
            in the plane and inversely equal coordinates normal to the plane (and added tolerances).
            The three tolerance values tol_* are assigned to the three coordinate directions of the
            coordinate system referenced by <code class = "ph codeph">CS</code>.</p>
    
<table class = "Remark" id = "table132"><tr><td class = "Remark"><span class = "run-in.important">Important:
				</span><span class = "notecontent"><p><ul class = "ul" id = "tso-c-usr-shape-desArea-lsPlaneSym__ul_91F896D794D34B33B46C952B5ACCBDD5">
<li class = "li">
The coordinate system referenced by <code class = "ph codeph">CS</code> must be a Cartesian
coordinate system.</li>
<li class = "li">
Only the <code class = "ph codeph">MAIN=MAX</code> or <code class = "ph codeph">MAIN=MIN</code>
criteria are allowed for determination of the main node.</li>
</ul></p></span></td></tr></table>

<table class = "table" id = "tso-c-usr-shape-desArea-lsPlaneSym__ae232739"><caption/><colgroup><col/></colgroup><tbody class = "tbody">
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<br/><img class = "image" id = "tso-c-usr-shape-desArea-lsPlaneSym__image_26D4D8C16B404759B110025BD7B50292" src = "../TsoUserImages/shape_symmetry_coupling.png" width = "371" height = "199"/><br/>
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