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Energy-Minimizing Approach to Meshing Curved Wire-Frame Models

Yamada, Atsushi, Kenji Shimada and Takayuki Itoh

5th International Meshing Roundtable, Sandia National Laboratories, pp.179-194, October 1996


In the initial phase of structural part design, wire-frame models are sometimes used to represent the shapes of curved faces. Finite element analysis (FEA) of the curved faces requires that a well-shaped, well-sized mesh be smoothly generated on them. The algorithm described in this paper generates such a mesh from a wireframe model by the following three steps: (1) projection of the vertices of a given wire-frame model on a flat plane and generation of a 2D mesh on the plane, (2) generation of a triangulation-based surface by minimization of the strain energy of a thin-plate-bending model, and (3) fitting of the mesh to the triangulation-based surface. The algorithm can generate well-shaped, well- sized triangular or quadrilateral meshes on the curved faces.

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