Journal of the Korean Institute of Intelligent Systems (한국지능시스템학회논문지)

Korean Institute of Intelligent Systems (한국지능시스템학회)
권호 표지
DOI QR코드

DOI QR Code

Automatic Mesh Generation System for a Novel FEM Modeling Based on Fuzzy Theory

퍼지이론을 이용한 FEM 모델링을 위한 자동 요소분할 시스템

  • 이양창 (경기대학교 대학원 기계공학과) ;
  • 이준성 (경기대학교 기계시스템디자인공학부) ;
  • 최윤종 (경기대학교 대학원 기계공학과) ;
  • 김남용 (경기대학교 대학원 기계공학과)
  • Published : 2005.06.01
Download PDF
⟨ Previous Next ⟩

Abstract

This paper describes an automatic finite element (FE) mesh generation for three-dimensional structures consisting of free-form surfaces. This mesh generation process consists of three subprocesses: (a) definition of geometric model, i.e. analysis model, (b) generation of nodes, and (c) generation of elements. One of commercial solid modelers is employed for three-dimensional solid structures. Node is generated if its distance from existing node points is similar to the node spacing function at the point. The node spacing function is well controlled by the fuzzy knowledge processing. The Delaunay method is introduced as a basic tool for element generation. Automatic generation of FE meshes for three-dimensional solid structures holds great benefits for analyses. Practical performances of the present system are demonstrated through several mesh generations for three-dimensional complex geometry.

Keywords

References

  1. Lee, D. T. and Schachter, B. J., "Two Algorithms for Constructing a Delaunay Triangulation", Int. J. of Computer and Information Sciences, Vol. 9, No.3, pp. 219-242, 1980 https://doi.org/10.1007/BF00977785
  2. Shephard, M. S., Yerry, M. A. and Baehmann, L., "Automatic Mesh Generation Allowing for Efficient a Priori and a Posteriori Mesh Refinement", Computer Methods in Applied Mechanics and Engineering, Vol. 55, pp. 161-180, 1986 https://doi.org/10.1016/0045-7825(86)90090-3
  3. Watson, D. F., "Computing The N-Dimensional Delaunay Tessellation with Application to Voronoi Polytopes", The Computer Journal, Vol. 24, No. 2, pp. 167-172, 1981. https://doi.org/10.1093/comjnl/24.2.167
  4. Bowyer, A., "Computing Dirichlet Tessellations", The Computer Journal, Vol. 24, No. 2, pp. 162-172, 1981. https://doi.org/10.1093/comjnl/24.2.162
  5. Schroeder, W. J. and Shephard, M. S., "Combined Octree/Delaunay Method for Fully Automatic 3-D Mesh Generation", International Journal for Numerical Methods in Engineering, Vol. 29, pp. 37-55, 1990. https://doi.org/10.1002/nme.1620290105
  6. Pourazady, M. and Radhakrishnan, M., "Optimization of a Triangular Mesh", Computers and Structures, Vol. 40, No. 3, pp. 795-804, 1991. https://doi.org/10.1016/0045-7949(91)90246-I
  7. Shephard, M. S. and Georges, M. K., "Automatic Three-Dimensional Mesh Generation by the Finite Octree Technique" International Journal for Numerical Methods in Engineering, Vol. 32, pp. 709-749, 1991. https://doi.org/10.1002/nme.1620320406
  8. Buratynski, E. K., "Fully Automatic Three- Dimensional Mesh Generator for Complex Geometries", Int. Journal for Numerical Methods in Engineering, Vol. 30, pp. 931-952, 1990.
  9. Al-Nasra, M. and Nguyen, D. T., "An Algorithm for Domain Decomposition in Finite Element Analysis", Computers and Structures, Vol. 39, No. 3/4, pp. 277- 289, 1981.
  10. Sezer, L. and Zeid, I., "Automatic Quadrilateral/Triangular Free-Form Mesh Generation For Planar Regions", Int. Journal for Numerical Methods in Engineering, Vol. 32, pp. 1441-1483, 1991. https://doi.org/10.1002/nme.1620320705
  11. Green, P. J. and Sibson, R., "Computing Dirichlet Tessellations in The Planes", The Computer Journal, Vol. 21, No. 2, pp. 168-173, 1977.
  12. Taniguchi, T. and Ohta, C., "Delaunay-Based Grid Generation for 3D Body with Complex Boundary Geometry", Grid Generation Conference, 1991.
  13. Sloan, S. W., "Fast Algorithm for Constructing Delaunay Triangulation in the Plane", Advanced Engineering Software, Vol. 9, No. 1, pp. 34-55, 1987. https://doi.org/10.1016/0141-1195(87)90043-X
  14. Buratynski, E. K., "Fully Automatic Three- Dimensional Mesh Generator for Complex Geometries", Int. Journal for Numerical Methods in Engineering, Vol. 30, pp. 931-952, 1990.
  15. Sezer, L. and Zeid, I., "Automatic Quadrilateral/ Triangular Free-Form Mesh Generation For Planar Regions", International Journal for Numerical Methods in Engineering, Vol. 32, pp. 1441-1483, 1991 https://doi.org/10.1002/nme.1620320705
  16. Chiyokura, H., Solid Modeling with Designbase: Theory and Implementation, Addition-Wesley, 1992.
  17. Cavendish, J. C., "Automatic Triangulation of Arbitrary Planar Domains for the Finite Element Method", International Journal of Numerical Method in Engineering, Vol. 8, pp. 679-696, 1974 https://doi.org/10.1002/nme.1620080402
  18. Zadeh, L. A., "Fuzzy algorithms", Information and Control, Vol. 12, pp. 94-102, 1968. https://doi.org/10.1016/S0019-9958(68)90211-8
  19. Lee, J.-S., "Automated CAE System for Three- Dimensional Complex Geometry", Doctoral Thesis, The University of Tokyo, 1995.

Cited by

  1. An automated CAE system for multidisciplinary structural design: its application to micro accelerometer vol.24, pp.9, 2010, https://doi.org/10.1007/s12206-010-0603-1