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基于无网格局部Petrov-Galekin法的板结构拓扑优化
引用本文:李顺利,龙述尧,李光耀,丁灿辉. 基于无网格局部Petrov-Galekin法的板结构拓扑优化[J]. 计算机辅助工程, 2011, 20(1): 56-60
作者姓名:李顺利  龙述尧  李光耀  丁灿辉
作者单位:湖南大学力学系
基金项目:国家自然科学基金(10972075);国家重点基础研究发展计划(“九七三”计划)(2010CB3228005);高等学校博士学科点专项科研基金(20090161110012);汽车先进设计和制造技术国家重点实验室建设基金(60870003);湖南省自然科学基金(10JJ3036)
摘    要:为将无网格法的优势集成到结构拓扑优化中,基于无网格局部Petrov-Galerkin(Meshless Local Petrov-Galerkin,MLPG)法进行板结构的拓扑优化.基于带惩罚的各向同性固体微结构(Solid Isotropic Microstructure with Penalization,SIMP...

关 键 词:板结构  拓扑优化  无网格法  自然邻接点插值  带惩罚的各向同性固体微结构模型
收稿时间:2010-08-10
修稿时间:2011-03-18

Topology optimization of plate structure based on meshless local Petrov Galerkin method
lishunli. Topology optimization of plate structure based on meshless local Petrov Galerkin method[J]. Computer Aided Engineering, 2011, 20(1): 56-60
Authors:lishunli
Affiliation:Hunan University
Abstract: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.
Keywords:plate structure   topology optimization   meshless method   natural neighbour interpolation   solid isotropic microstructure with penalization model
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