An approach for the automatic generation and refinement of three-dimensional finite element meshes subdivided by multiply connected, rigid body movable subdomains has been developed. A combination of computational geometry and geometric modeling techniques have been employed to implement parametric computer-aided design based on the finite element method. Nonconvexity of an overall three-dimensional domain has been handled by combining convex geometric primitives as subdomains for the construction of a three-dimensional domain. A clipping technique is employed for determining intersection points between subdomains bounded by traingulated surface, following their rigid body movements. To demonstrate the utility of this approach to parametric redesign, a series of meshes that model a hip joint prosthesis and a reciprocating internal combustion engine, as assemblies of parametrically-defined geometric primitives, has been developed.
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December 1994
Research Papers
Automatic Finite Element Mesh Generation Over Intersecting Rigid Body-Movable Subdomains for the Automation of Parametric Conceptual Design
H. Yang,
H. Yang
Department of Mechanical Engineering, Columbia University, New York, NY 10027
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D. A. Hoeltzel
D. A. Hoeltzel
Department of Mechanical Engineering, Columbia University, New York, NY 10027
Search for other works by this author on:
H. Yang
Department of Mechanical Engineering, Columbia University, New York, NY 10027
D. A. Hoeltzel
Department of Mechanical Engineering, Columbia University, New York, NY 10027
J. Mech. Des. Dec 1994, 116(4): 1049-1057 (9 pages)
Published Online: December 1, 1994
Article history
Received:
September 1, 1991
Online:
June 2, 2008
Citation
Yang, H., and Hoeltzel, D. A. (December 1, 1994). "Automatic Finite Element Mesh Generation Over Intersecting Rigid Body-Movable Subdomains for the Automation of Parametric Conceptual Design." ASME. J. Mech. Des. December 1994; 116(4): 1049–1057. https://doi.org/10.1115/1.2919486
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