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A Topology Optimization Design for the Continuum Structure Based on the Meshless Numerical Technique

Zheng Juan1,2,3, Long Shuyao1,2, Xiong Yuanbo1,2, Li Guangyao1
State Key Laboratory of Advanced Design and Manufacture for Vehicle Body, Hunan University, Changsha, China
College of Mechanics and Aerospace Engineering, Hunan University, Changsha, China
Corresponding author. Tel.: +86-0731-8824724. E-mail: dingdang8209@163.com

Computer Modeling in Engineering & Sciences 2008, 34(2), 137-154. https://doi.org/10.3970/cmes.2008.034.137

Abstract

In this paper, the meshless radial point interpolation method (RPIM) is applied to carry out a topology optimization design for the continuum structure. Considering the relative density of nodes as a design variable, and the minimization of compliance as an objective function, the mathematical formulation of the topology optimization design is developed using the SIMP (solid isotropic microstructures with penalization) interpolation scheme. The topology optimization problem is solved by the optimality criteria method. Numerical examples show that the proposed approach is feasible and efficient for the topology optimization design for the continuum structure, and can effectively overcome the checkerboard phenomenon.

Keywords

Radial point interpolation method (RPIM), topology optimization design for continuum structure, SIMP, optimality criteria method, checkerboard phenomenon.

Cite This Article

Juan, Z., Shuyao, L., Yuanbo, X., Guangyao, L. (2008). A Topology Optimization Design for the Continuum Structure Based on the Meshless Numerical Technique. CMES-Computer Modeling in Engineering & Sciences, 34(2), 137–154.



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