期刊论文

中文

固体力学学报

0254-7805

2024

45

02

253-265

10.19636/j.cnki.cjsm42-1250/o3.2023.035

2022JJ30113:湖南省自然科学基金项目 21A0507:湖南省教育厅重点项目

本校为其他机构

本文把ICM方法中的过滤函数和变密度方法中的惩罚函数统称为映射函数,研究了该函数的选取问题,探讨了其选取对于结构拓扑优化优化迭代收敛效率的影响.为此,本文提出了高效率收敛的映射函数构造途径,写出了 5类常见的具体映射函数形式,提出同高效率收敛映射函数MFHEC(Mapping function with highly effi-cient convergence)相配套的优化模型和寻优解法,先是自行比较了同类映射函数的过滤函数和准过滤函数寻优中收敛的快慢,然后相互比较了不同形式映射函数的快滤函数寻优收敛的快慢.以ICM方法求解位移约束下结构体积极小的拓扑优化问题为例,通过数值计算比较,印证了 MFHEC函数的高效率收敛性.结果...

In this paper,the filter function in the ICM method and the penalty function in the variable density method are both referred as the mapping functions.Different forms of mapping functions have a significant impact on the convergence efficiency of structural topology optimization.Therefore,it is neces-sary to study how to construct a suitable mapping function for the optimization model.Aimed at this prob-lem,how to construct and select a mapping function in the establishment of the structural topology optimi-zation model is studied,and the influence of different mapping functions on the converg...