임의 형상의 복합재 모델링을 위한 CSG 기반 표현

CSG-based Representation for Free-form Heterogeneous Object Modeling

  • 신기훈 (서울산업대학교 기계공학과) ;
  • 이진구 (서울산업대학교 기계공학과)
  • 발행 : 2006.08.31

초록

This paper proposes a CSG-based representation scheme for heterogeneous objects including multi-material objects and Functionally Graded Materials (FGMs). In particular, this scheme focuses on the construction of complicated heterogeneous objects guaranteeing desired material continuities at all the interfaces. In order to create various types of heterogeneous primitives, we first describe methods for specifying material composition functions such as geometry-independent, geometry-dependent functions. Constructive Material Composition (CMC) and corresponding heterogeneous Boolean Operators (e.g. material union, difference, intersection. and partition) are then proposed to illustrate how material continuities are dealt with. Finally, we describe the model hierarchy and data structure for computer representation. Even though the proposed scheme alone is sufficient for modeling all sorts of heterogeneous objects, the proposed scheme adopts a hybrid representation between CSG and decomposition. That is because hybrid representation can avoid the unnecessary growth of binary trees.

키워드

참고문헌

  1. Rajagopalan, S., Goldman, R., Shin, K. H., Kumar, V., Cutkosky, M. and Dutta, D., 'Representation of Heterogeneous Objects during Design, Processing and Freeform-Fabrication', Materials and Design, Vol. 22, No.3, pp. 185-197, 2001 https://doi.org/10.1016/S0261-3069(00)00065-0
  2. Jackson, T. R., Liu, H., Patrikalakis, N. M., Sachs, E. M. and Cima, M. J., 'Modeling and Designing Functionally Graded Material Components for Fabrication with Local Composition Control', Materials and Design, Vol. 20, No. 2/3, pp. 63-75, 1999 https://doi.org/10.1016/S0261-3069(99)00011-4
  3. Wu, Z., Seah, H. S. and Lin, F., 'NURBS-Based Volume Modeling', International Workshop on Volume Graphics, Swansea, pp. 321-330, 1999
  4. Kumar, V. and Dutta, D., 'An Approach to Modeling and Representation of Heterogeneous Objects', ASME Journal of Mechanical Design, Vol. 120, No. 4, pp. 659-667, 1998 https://doi.org/10.1115/1.2829329
  5. Samanta, K. and Koc, B., 'Feature-based Design and Material Blending for Free-from Heterogeneous Object Modeling', Computer-Aided Design, Vol. 37, No.3, pp. 287-305, 2005 https://doi.org/10.1016/j.cad.2004.03.005
  6. Liu, H., Maekawa, T., Patrikalakis, Sachs, E. M. and Cho, W., 'Methods for Feature-based Design of Heterogeneous Solids', Computer-Aided Design, Vol. 36, No. 12, pp. 1141-1159, 2004 https://doi.org/10.1016/j.cad.2003.11.001
  7. Qian, X. and Dutta, D., 'Feature-based Design for Heterogeneous Objects', Computer-Aided Design, Vol. 36, No. 12, pp. 1263-1278, 2004 https://doi.org/10.1016/j.cad.2004.01.012
  8. 신기훈, 김주한, '복합재 형상의 FEA 기반 설계를 위한 통합 CAD 시스템', 한국 CAD/CAM 학회눈문집, 제10권, 제5호, pp. 328-338, 2005
  9. Weiler, K. J., 'The Radial Edge Structure: A Topological Representation for Non-manifold Geometric Modeling', In M. J. Wozny, H. McLaughlin, and J. Encarnacao, editors, Geometric Modeling for CAD Applications, pp. 3-36, Elsevier Science Publishers, Holland., 1986
  10. ACIS Geometric Modeler: Application Guide, Spatial Technology Inc., 1995
  11. 이상헌, '주요 솔리드 모델링 커널의 소개', 한국 CAD/CAM 학회지, 제7권, 제2호, 2001
  12. Donomoto, T., Miura, N., Funatani, K. and Miyake, N., SAE Tech. Paper No. 83052, Detroit, Michigan, 1983
  13. 장순석, 양해정, 이제형, '3차원 레이저 스캐닝 점좌표 데이터로부터 CAE 유한요소 메쉬 생성 알고리즘 개발', 한국 CAD/CAM 학회 논문집, 제10권, 제1호, pp. 70-75, 2005
  14. 최동혁, 김태완, 이건우, '특징형상 변환을 이용한 B-rep 모델의 다중해상도 구현', 한국 CAD/CAM 학회 논문집, 제7권, 제2호, pp. 121-130, 2002