Korean Journal of Computational Design and Engineering (한국CDE학회논문집)

Society for Computational Design and Engineering (한국CDE학회)
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Automatic Triangular Mesh Generation Over B-Spline Surfaces Including Arbitrary Holes

임의의 구멍을 포함하는 B-Spline 곡면상에서의 자동 삼각 요소망 생성

  • 김근호 (한양대학교 공과대학원 기계설계학과) ;
  • 양현익 (한양대학교 공과대학 기계정보경영공학부)
  • Published : 2004.03.01
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Abstract

In the process of finite element analysis, mesh generation is tedious job which consumes tremendous time. Therefore, the automation of well shaped mesh generation from the minimal boundary input data is desirable to improve reliability and accuracy of the analysis and also to reduce the process time of the entire design process. The automation of triangular mesh generation has been relatively well treated due to its robustness and ease of handling when compared to rectangular element mesh generation. In this study, the offset method developed previously for generating plane rectangular element mesh has been corrected and modified to generate triangular element mesh on the B-spline surface having arbitrary holes. The result shows that the generated triangular mesh has the average aspect ratio over 0.9. The designed arbitrary surface shape has been interactively constructed by non-uniform B-spline theory for triangular mesh generation.

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References

  1. Application and Implementation of Finite Element Methods Akin,J.E.
  2. International Journal for Numerical Methods in Engineering v.9 Automatic Triangulation of Arbitraty planar Domains for the Finite Element Method Carvendish,J.C.
  3. International Journal for Numerical Methods in Engineering v.21 An Approach to Automatic Three-dimensional Finite Element Mesh Generation Carvendish,J.C.;Field,D.A.;Frey,W.H. https://doi.org/10.1002/nme.1620210210
  4. International Journal for Numerical Methods in Engineering v.21 A New Mesh Generation Scheme for Arbitrary Planar Domains Lo,S.H.
  5. CAD/CAM Journal. Lo의 요소망 생성 알고리즘을 개선한 자동 요소망 생성 소프트웨어의 개발 김병옥
  6. Human Aspects in Computer Integrated Manufacturing Computational Method for Physically-bsaed FE Mesh Generation Shimada,K.;Gossard,D.C.;G.J.Olling(ed.)F.Kimura(ed.)
  7. CAD/CAM Journal. 절점과 요소를 동시에 생성할 수 있는 삼각 요소망 알고리즘의 개발 천재홍
  8. 다양한 2차원 형상에서의 외부 경계 절점 오프셋 방법을 이용한 자동 사각 요소 및 요소망 생성 김도헌
  9. International Journal for numerical Methods in Engineering v.3 An Automatic Mesh Generation Scheme for Plane and Curved Surfaces by 'Isoparametric' Co-ordinates Zienkiewicz,O.C.;Phillips,D.V. https://doi.org/10.1002/nme.1620030407
  10. Computer & Structures v.15 no.6 Autometic Mesh Generation Scheme for a Two-or Three-Dimensional Triangular Curved surface Ghassemi;Firooz https://doi.org/10.1016/S0045-7949(82)80002-3
  11. Computers and Structures v.69 Automatic Adaptive Finite Element Mesh Generation Over Rational B-spline Surfaces Lee,C.K.;Hobbs,R.E. https://doi.org/10.1016/S0045-7949(98)80096-5
  12. Curves and Surfaces for Computer-Aided Geometric Design - A Practical Guide (3rd Edition) Farin;Gerald