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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 and Coupling Conditions (LINK_SHAPE)</h1></td></tr><tr><td class = "DocHeader4" colspan = "2"/></tr><tr><td class = "DocHeader3" colspan = "2"><table class = "DocThemeIntro" id = "table12"><tr><td class = "Intro1"><p class = "header"><p class = "abstract"><span class = "shortdesc">Shape optimization involves determining  displacement for every design
node. The displacement of the neighboring nodes is not coupled, that is,
each of the design nodes can move independent from the other design
nodes. For example during optimization, free-form surfaces might develop
from flat surfaces. By coupling the design nodes the optimization can maintain
the regularity of planes.</span>
</p>

</p><hr class = "header"/></td></tr><tr><td class = "Intro2"><span class = "run-in">In this section:</span><br/><ul class = "ulthemes"><li><a title = "Shape optimization involves determining the displacement of each design node to homogenize the stress on the surface based on the optimization criteria. The displacement of the neighboring nodes is not coupled; thus, each of the design nodes can move independent from the other design nodes. For example, during optimization free-form surfaces might develop from flat surfaces. By coupling the design nodes the optimization can maintain the regularity of planes. To take functional and manufacturing restrictions in shape optimization into account , certain link conditions can be set with the command LINK_SHAPE." href = "tso-c-usr-shape-desArea-lsOvw.htm">Link and Coupling Conditions Overview</a></li><li><a title = "Couple design nodes that are symmetric to a plane - for symmetric meshes." href = "tso-c-usr-shape-desArea-lsPlaneSym.htm">Plane Symmetry (PLANE_SYM)</a></li><li><a title = "Couple design nodes that are symmetric to a plane - for arbitrary meshes." href = "tso-c-usr-shape-desArea-lsSPlaneSym.htm">Plane Symmetry for Nonsymmetric Meshes (SURF_PLANE_SYM)</a></li><li><a title = "Couples nodes in a not necessarily symmetric mesh that reoccur in a cyclic manner around a rotational axis." href = "tso-c-usr-shape-desArea-lsSCyclicSym.htm">Cyclic Symmetry for Nonsymmetric Meshes (SURF_CYCLIC_SYM)</a></li><li><a title = "This link condition is a combination of cyclic rotational and planar symmetry. First, the cyclic symmetry is enforced, and afterward the surface is modified to ensure plane symmetry in each segment." href = "tso-c-usr-shape-desArea-lsSCyclicPlaneSym.htm">Cyclic-Plane Symmetry Combination (SURF_CYCLIC_PLANE_SYM)</a></li><li><a title = "Couple displacements that are symmetric with respect to a point." href = "tso-c-usr-shape-desArea-lsPointSym.htm">Point Symmetry (POINT_SYM)</a></li><li><a title = "Couple displacements that are rotational symmetric around an axis." href = "tso-c-usr-shape-desArea-lsRotSym.htm">Rotational Symmetry (ROTATION_SYM)</a></li><li><a title = "Couple the optimization directions and lengths of several design nodes." href = "tso-c-usr-shape-desArea-lsDisplacement.htm">Coupling Displacements</a></li><li><a title = "Couple design nodes in such a way that a stampable, turnable, or drillable surface is maintained." href = "tso-c-usr-shape-desArea-lsSurfSpline.htm">Stampable, Turnable, and Drillable Surfaces</a></li><li><a title = "The demolding manufacturing constraint can be used to gain a demoldable surface. Looking at a single (surface) face, that face is demoldable if the angle between the face normal and the demolding direction is less than 90°." href = "tso-c-usr-shape-desArea-lsSurfDemold.htm">Demoldable Surface (SURF_DEMOLD)</a></li></ul></td></tr></table></td></tr></table>



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