The topology optimization design of the continuum structure based on the meshless numerical technique
Received:July 02, 2008  
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DOI:10.7511/jslx20102010
KeyWord:Radial Point Interpolation Method(RPIM)  continuum structural topology optimization  SIMP  optimality criteria method  checkerboard phenomenon
        
AuthorInstitution
郑娟 湖南大学 力学与航空航天学院,长沙
龙述尧 湖南大学 力学与航空航天学院,长沙
熊渊博 湖南大学 力学与航空航天学院,长沙
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Abstract:
      In this paper, the meshless radial point interpolation method(RPIM) is applied to carry out the topology optimization of the continuum structure. Considering the relative density of nodes as design variables, and the minimization of compliance as an objective function, the mathematical formulation of the topology optimization is developed using the SIMP(solid isotropic micro-structures with penalization) interpolation scheme. The optimization formulation is solved by the optimality criteria method. Numerical examples show that the proposed approach is feasible and efficient for the topology optimization of the continuum structure, and can effectively overcome the checkerboard phenomenon.