Automatic Generation of Hexahedral Meshes in Shell Structures

쉘 구조물에서 육면체 요소망의 자동 생성

  • 이병채 (한국과학기술원 기계공학과) ;
  • 채수원 (고려대학교 기계공학과) ;
  • 권기연 (한국과학기술원 기계공학과)
  • Published : 2006.02.01

Abstract

This paper describes hexahedral mesh generation for various shell structures, such as automobile bodies, plastic injection mold components and sheet metal parts by using chordal surfaces. After generaling one-layered tetrahedral mesh by an advancing front algorithm, the chordal surfaces are constructed by cutting of tetrahedral elements. Since the choral surfaces are composed of tri/quad elements with poor quality, they are transformed into quadrilateral elements with good quality. Hexahedral elements are then generated by offsetting these quadrilateral elements. The boundary nodes of hexahedral elements are generated on the outer surfaces of the original shell structures. Sample models including nonuniform thickness have been tested to validate the proposed algorithm.

Keywords

References

  1. Blum, H., 'A Transformation for Extracting New Descriptors of Shape', Models for the Perception of Speech and Visual Form (Weinant Wathen-Dunn, Ed.), MIT Press, Cambridge, MA, pp. 362-381,1967
  2. Prasad, L., 'Morphological Analysis of Shapes', in http://cnls.lanl.gov/Highlights/1997-07/, Los Alamos National Laboratory, 1997
  3. Quadros, W. R. and Shimada, K., 'Hex-layer: Layered All-hex Mesh Generation on Thin Section Solids Via Chordal Surface Transformation', 11th International Meshing Roundtable, 2001
  4. 권기연, 박정민, 이병채, 채수원, '구조물에서 Chordal Axis Transform을 이용한 중립면 생성', 한국정밀공학회 추계학술대회 논문집 , 2004
  5. Schneiders, R., Schindler, R. and Weiler, F., 'Octreebased Generation of Hexahedral Element Meshes', 5th International Meshing Roundtable, Sandia National Laboratories, pp. 205-216, October 1996
  6. Price, M. A. and Armstrong, C. G., 'Hexahedral Mesh Generation by Medial Surface Subdivision: Part Il. Solids with Flat and Concave Edges', International Journal for Numerical Methods in Engineering, Vol. 40, pp. 111-136, 1997 https://doi.org/10.1002/(SICI)1097-0207(19970115)40:1<111::AID-NME56>3.0.CO;2-K
  7. Blacker, T. D. and Meyers, R. J., 'Seams and Wedges in Plastering: A 3D Hexahedral Mesh Generation Algorithm', Engineering with Computers, Springer Verlag, Vol. 2, No.9, pp. 83-93, 1993
  8. Timothy, J. T., 'The Whisker Weaving Algorithm: A Connectivity-based Method for Constructing All- hexahedral Finite Element Meshes', International Journal for Numerical Methods in Engineering, Vol. 39, 3327-3349, 1996 https://doi.org/10.1002/(SICI)1097-0207(19961015)39:19<3327::AID-NME2>3.0.CO;2-H
  9. 권기연, 채수원, 이병채, '3-D 오퍼레이터를 이용한 사면체 요소망의 지동생성' 한국 CAD/CAM학회 논문집 , Vol. 9, No. 1, pp. 27-34, 2004
  10. Lee, Y. K. and Lee, C. K., 'A New Indirect Anisotropic Quadrilateral Mesh Generation Scheme with Enhanced Local Mesh Smoothing Procedures', International Journal for Numerical Methods in Engineering, Vol. 58, No.2, pp. 3327-3349, 2003
  11. Owen, S. J., Staten, M. L., Canann S. A. and Saigal S., 'Q-MORPH: An Indirect Approach to Advancing Front Quad Meshing', International Journal for Numerical Methods in Engineering, Vol. 44, pp. 1317-1340, 1999 https://doi.org/10.1002/(SICI)1097-0207(19990330)44:9<1317::AID-NME532>3.0.CO;2-N
  12. Xiuzhi, Q. and Brent, S., 'A 3D Surface Offset Method for STL-format Models', Rapid Prototyping Journal, Vol. 9, No.3, pp. 133-141, 2003 https://doi.org/10.1108/13552540310477436