大型稀疏连续体结构的多目标拓扑优化设计  

Topological optimization design of large-scale sparse continuum structures using multi-objective programming approaches

作　　者：陈义保[1] 任秉银[2] 罗震[3] 

机构地区：[1]烟台大学机电汽车工程学院,山东烟台264005 [2]哈尔滨工业大学机电工程学院,哈尔滨150001 [3]华中科技大学机械工程学院,武汉430074

出　　处：《哈尔滨工业大学学报》2009年第7期202-205,共4页Journal of Harbin Institute of Technology

基　　金：国家基础研究发展规划资助项目(2003CB716207);国家自然科学基金资助项目(50465001)

摘　　要：基于变密度法和数学规划中的序列凸规划优化方法,建立了具有大型稀疏特点的连续体结构的多目标拓扑优化设计模型.以结构的静力学多刚度和动力学特征值问题同时作为优化的目标函数,以设计域中可容许材料的体积百分比作为优化的全局性约束来限制搜索域,用序列凸规划方法中的移动渐近线方法(MMA)作为优化数学模型的求解器.基于Matlab平台,用程序实现了MMA算法,并用典型算例证明了本文研究方法的有效性.The mathematical formulation for multi-objective topology optimization of large-scale continuum structures was established based on the variable density method and sequential convex programming approach, in which the statically loaded multi-stiffness problem as well as the dynamic problem are both regarded as two objective functions respectively, and the percentage of the allowed material usage occupied the whole design space is settled as a global constraint to narrow down the search domain. The method of moving asymptotes belonging to sequential convex programming approaches was used to solve the optimization problem. The validity of the methods presented in this paper was substantiated by performing a typical numerical application.

关 键 词：结构优化 拓扑优化 数学规划 移动渐近线方法(MMA) 多目标优化 

分 类 号：TH165[机械工程—机械制造及自动化]