Volume 27 Issue 2
Feb.  2001
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OUYANG Xing, SHI Fa-zhong. Algorithm for Mixed Meshing Multiple Trimmed ParametricSurfaces for Finite Element Analysis[J]. Journal of Beijing University of Aeronautics and Astronautics, 2001, 27(2): 209-212. (in Chinese)
Citation: OUYANG Xing, SHI Fa-zhong. Algorithm for Mixed Meshing Multiple Trimmed ParametricSurfaces for Finite Element Analysis[J]. Journal of Beijing University of Aeronautics and Astronautics, 2001, 27(2): 209-212. (in Chinese)

Algorithm for Mixed Meshing Multiple Trimmed ParametricSurfaces for Finite Element Analysis

  • Received Date: 02 Dec 1999
  • Publish Date: 28 Feb 2001
  • According to the character of die shape, based on the mathematical model of multiple trimmed parametric surfaces, which is created by CAD/CAM system, an algorithm for generate mixed mesh of triangles and quadrilaterals for finite element analysis is presented. The trimmed parametric surfaces are discreted into polygons, which are controlled by the parameters of maximum edge length, minimum edge length, distance tolerance and angle tolerance, etc. The adjacent relation between surfaces is found and merged by surface-curves, consequently, a model represented by boundary is created, the polygons are updated by surface-curves, and mixed mesh is generated by these polygons. The resultant mesh is conformal, without crack and overlap between the adjacent surfaces.

     

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  • [1] 高曙明,彭群生.一种通用的trimmed曲面三角化算法[J].计算机辅助设计与图形学学报,1992,4(4):9~14. [2] Piegl L A, Richard A M. Tessellating trimmed NURBS surfaces[J]. Computer Aided Design, 1995,27(1):16~26. [3] Piegl L A, Tiller W. Geometry-based triangulation of trimmed NURBS surfaces[J]. Computer Aided Design, 1998,30(1):11~18. [4] Cho W, Patrikalakist N M, Peraire J. Approximate development of trimmed patches for surface tessellation[J]. Computer Aided Design, 1998,30(14):1077~1087. [5] Shimada K, Gossard D. Automatic triangular mesh generation of trimmed parametric surfaces for finite element analysis[J]. Computer Aided Geometry Design, 1998,15:199~222.
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