结构拓扑优化ICM方法的改善

THE IMPROVEMENT FOR THE ICM METHOD OF STRUCTURALTOPOLOGY OPTIMIZATION

对结构拓扑优化的ICM(独立、连续、映射)方法进行了深入探讨,通过选取不同的过滤函数可以不进行每步删除而得到清晰的拓扑图形.以位移约束为例阐述了ICM方法建模及求解过程.对位移约束、频率约束、位移及频率约束、简谐载荷激励下动位移幅值约束等拓扑优化进行了研究,计算算例表明ICIM方法在处理静力问题及动力问题的拓扑优化都是可行的.程序算法都在MSC.Nastran及MSC.Patran的二次开发环境下实现,与原软件有机结合在一起.

In this paper, ICM (independent, continuous, mapping) method for structural topology optimization is researched. By selecting a different filter function, the clear topological configuration can be obtained and it is not necessary to delete elements in every iteration as usual. The procedure of formulating and solving the topology optimization model with ICM method is illustrated by the example of topology optimization problem with displacement constraints. The topology optimizations are researched which with displacement constraints, frequency constraints, displacement and frequency constraints, and displacement amplitude constraints under harmonic loading. The numerical examples show that it is feasible and convenient to solve static or dynamic structural topology optimization by ICM method. The algorithms are performed on the further development platform of MSC. Nastran and MSC. Patran software and the user interfaces are integrated with those of MSC. Patran software.