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位移约束集成化处理的连续体结构拓扑优化
引用本文:隋允康,张学胜,龙连春,边炳传.位移约束集成化处理的连续体结构拓扑优化[J].固体力学学报,2006,27(1):102-107.
作者姓名:隋允康  张学胜  龙连春  边炳传
作者单位:北京工业大学机电学院力学部,北京,100022
基金项目:国家自然基金项目(10472003),北京市自然科学基金委项目(3042002),北京市教委项目(KM200410005019)资助
摘    要:为解决多工况下多位移约束的连续体结构拓扑优化问题,引入了K-S函数对位移约束进行集成化处理.在建立优化模型时,基于莫尔定理按ICM方法导出约束点位移与设计变量之间的近似显函数关系,然后采用Lagrange乘子法进行求解.给出三个算例对该方法进行验证,并与ESO法、BESO法、MD法以及均匀化方法的结果进行比较.结果表明:该方法计算效率较高,并且能够计算出更合理的结构拓扑.

关 键 词:集成化处理  ICM方法  K-S函数  拓扑优化
修稿时间:2005年4月6日

TOPOLOGY OPTIMIZATION OF CONTINUUM STRUCTURES WITH THE INTEGRATED APPROACH OF DISPLACEMENT CONSTRAINTS
Sui Yunkang,Zhang Xuesheng,Long Lianchun,Bian Bingchuan.TOPOLOGY OPTIMIZATION OF CONTINUUM STRUCTURES WITH THE INTEGRATED APPROACH OF DISPLACEMENT CONSTRAINTS[J].Acta Mechnica Solida Sinica,2006,27(1):102-107.
Authors:Sui Yunkang  Zhang Xuesheng  Long Lianchun  Bian Bingchuan
Abstract:In order to solve the topology optimization problem of continuum structures with multi-displacement constraints under multiple load cases,K-S function is introduced to integratedly approach the displacement constraints.According to the ICM(Independent Continuous Mapping) method,an approximate explicit expression between displacements at constrained nodes and design variables based on the Mohr's theorem is derived to establish the model of structural optimization,and then the Lagrange multiplier method is employed to solve it.Three examples are used to verify the method,the results obtained is compared with those by the ESO method,the BESO method,the MD method and the homogenization method.They show that this method is more efficient and gives more reasonable structural topologies.
Keywords:integrated approach  ICM method  K-S function  topology optimization
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