International Journal of Fuzzy Logic and Intelligent Systems

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

DOI QR Code

Development of High-Performance FEM Modeling System Based on Fuzzy Knowledge Processing

  • Lee, Joon-Seong (Division of Mechanical System Design Engineering, Kyonggi University)
  • Published : 2004.09.01
Download PDF
⟨ Previous Next ⟩

Abstract

This paper describes an automatic finite element (FE) mesh generation for three-dimensional structures consisting of tree-form surfaces. This mesh generation process consists of three subprocesses: (a) definition of geometric 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 Voronoi diagram 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. Journal of Computer and Information Sciences, Vol. 9, No.3, pp. 219-242, 1980 https://doi.org/10.1007/BF00977785
  2. Watson, D. F., 'Computing The N-Dimensional Delaunay Tessellation with Application to Voronoi Polytopes', The Computer Journal, Vol. 24, No.2, pp. 167-172, 1991 https://doi.org/10.1093/comjnl/24.2.167
  3. Schroeder, W. J. and Shephard, M. S., 'Combined OctreelDelaunay Method for Fully Automatic 3-D Mesh Generation', Int. Journal for Numerical Methods in Engineering, Vol. 29, pp. 37-55, 1990 https://doi.org/10.1002/nme.1620290105
  4. J.S. Lee, 'Development of the Fuzzy-Based System for Stress Intensity Factor Analysis', Int. Journal of Fuzzy Logic and Intelligent Systems, Vol. 12, No.3, pp. 255-260, 2002 https://doi.org/10.5391/JKIIS.2002.12.3.255
  5. Buraty, E.,'Fully Automatic lbree-Dimensional Mesh Generator for Complex Geometries', Int. Journal for Numerical Methods in Engineering, Vol. 30, pp. 931-952, 1990
  6. 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
  7. AI-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
  8. Sezer, L.,'Autornatic Quadri1aterallTrianguiar 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
  9. Chiyokura, H., Solid Modeling with Designbase Theory and Implementation, Addition-Wesley, 1988
  10. Green, P. J. and Sibson, R., 'Computing Dirichlet Tessellations in The Planes', The Computer Journal, Vol. 21, No.2, pp. 168-173, 1977
  11. Taniguchi, T. and Ohta, C., 'Delaunay-Based Grid Generation for 3D Body with Complex Boundary Geometry', Grid Generation Conference, 1991
  12. J.S. Lee, 'Automated CAE System for Three-Dimensional Complex Geometry', Doctoral Thesis, The University of Tokyo, 1995
  13. Zadeh, L. A., 'Fuzzy algorithms', Information and Control, Vol. 12, pp. 94-102, 1968. and Cyberne- tics, SMC-3, pp. 28-44, 1983