期刊论文

Sui, Y.

中文

固体力学学报

0254-7805

2022

43

3

307-317

10.19636/j.cnki.cjsm42-1250/o3.2021.063

国家自然科学基金项目(11672103,11172013) 湖南省教育厅重点项目(21A0507) 湖南省自然科学基金项目(2022JJ30113)资助。

本校为第一机构

应用K-S(Kreisselmeier-Steinhauser)函数,对结构拓扑优化问题中的局部性能如应力、疲劳寿命等进行集成然后求解.首先针对互逆规划的单目标多约束模型(称为s方模型)及多目标单约束模型(称为m方模型),应用结构拓扑优化ICM方法,分别建立了基于K-S函数集成处理的优化模型,推导了集成化的约束(对s方模型)或目标(对m方模型)函数的一阶及二阶导数,采用序列二次规划模型对所建立的优化模型进行迭代求解,依据K-T条件给出了二次规划模型的迭代求解公式.然后基于K-S函数阐述了s方模型的集成迭代解法,亦即集成方法.最后,阐述了基于K-S函数的s方模型和m方模型交替融合的迭代解法,亦即集成-集成方法.结果表明...

For structural topology optimization concerning local performances, such as stress and fatigue life, a big challenge is that too many constraints lead to huge amounts of computation on sensitivity analysis and optimization. One common treatment is to integrate the local performance constraints into one or a few global constraints using aggregate functions, such as the p-norm function, the Kreisselmeier-Steinhauser (K-S) function, and so on. However, in most present studies, the aggregate constraints are approximated by first-order approximation...