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Topology optimization of plate structure based on meshless local Petrov-Galerkin method

LI Shunli,LONG Shuyao,LI Guangyao,DING Canhui(State Key Laboratory of Advanced Design and Manufacture for Vehicle Body,Hunan University,Changsha 410082,China)  
To apply the advantage of meshless method into the structural topology optimization,the topology optimization of plate structure is performed by using the Meshless Local Petrov-Galerkin(MLPG) method.The optimization correction program of the design variables is built by the topology optimization model based on Solid Isotropic Microstructures with Penalization(SIMP) and the optimality criteria method.The natural neighbour interpolation shape function is used to discretize both displacement field and relative density field.Several typical topology optimization examples are used to verify the validity and effectiveness of the numerical method.
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