Users:Structural Optimization/Response Functions/SurfaceCurvature
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=== Estimation of nodal curvature === | === Estimation of nodal curvature === | ||
| − | The nodal curvature is estimated using the surface normal vector and access vectors to the surrounding nodes. '''The estimation is based on a local spherical approximation of the geometry.''' | + | The nodal curvature is estimated using the surface normal vector and access vectors to the surrounding nodes. '''The estimation is based on a local spherical approximation of the geometry (see sketch below).''' So the radius of curvature r can be computed within the isosceles triangle. |
[[ File:curv_ks_sketch.png |300px | center |Sketch of curvature estimation in 1D ]] | [[ File:curv_ks_sketch.png |300px | center |Sketch of curvature estimation in 1D ]] | ||
Revision as of 11:35, 21 April 2011
General Description
Short Info
In the field of structural optimization it is often necessary to apply a constraining of surface curvature in order to maintain manufacturing constraints. To this purpose, Carat++ provides an estimation tool to approximate the mean curvature at a surface node.
Estimation of nodal curvature
The nodal curvature is estimated using the surface normal vector and access vectors to the surrounding nodes. The estimation is based on a local spherical approximation of the geometry (see sketch below). So the radius of curvature r can be computed within the isosceles triangle.
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