基于浮动映射拓扑优化的结构应力最小化设计
Structural stress minimization design based on floating projection topology optimization
周德生 1闫晓磊 1黄登峰 1花海燕 1王辉1
作者信息
- 1. 福建省汽车电子与电驱动技术重点实验室,福建 福州 350118
- 折叠
摘要
以全局Mises应力水平最小化为设计目标,通过引入应力凝聚函数解决应力局部化问题,基于浮动映射拓扑优化(floating projection topology optimization,FPTO)方法,并采用应力松弛技术克服单元应力奇异现象,实现结构全局应力最小化设计.数值算例结果显示,经过应力最小化设计,结构的峰值应力可以降低 25.32%～36.49%,而柔度仅增加了 2.20%～5.87%,验证了该文提出的应力设计方法的有效性.
Abstract
Aiming at minimizing the global Mises stress level,the resolution of stress localization issues is ad-dressed through the incorporation of a stress concentration function.Based on the floating projection topology optimization(FPTO)method,the stress relaxation technique is used to overcome the singularity of element stress,and the global stress minimization design of the structure is realized.Numerical examples demonstrate that through stress minimization design,peak stresses in the structure can be reduced by 25.32%to 36.49%,with a marginal increase in flexibility ranging from 2.20%to 5.87%.These findings validate the effectiveness of the proposed stress design method.
关键词
拓扑优化/浮动映射/应力奇异/P范数Key words
topology optimization/floating mapping/stress singularity/P-norm引用本文复制引用
基金项目
福建省自然科学基金(2022J01921)
国家自然科学基金(52205340)
出版年
2024
NETL
NSTL
万方数据