大型稀疏连续体结构的多目标拓扑优化设计

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.

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

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.