A Topology Optimization Design for the Continuum Structure Based on the Meshless Numerical Technique
Zheng Juan; Long Shuyao; Xiong Yuanbo; and Li Guangyao

Source CMES: Computer Modeling in Engineering & Sciences, Vol. 34, No. 2, pp. 137-154, 2008
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Keywords radial point interpolation method (RPIM); topology optimization design for continuum structure; SIMP; optimality criteria method; checkerboard phenomenon
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.
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