期刊论文

A New Solving Method of the Compliance Topology Optimization Problem of Continuum Structures under Multiple Load Cases

Rong, Jianhua(rongjhua@aliyun.com)

中文

机械工程学报

0577-6686

2018

54

5

210-219

10.3901/JME.2018.05.210

11372055:国家自然科学基金 11772070:国家自然科学基金 2013KFJJ03:工程车辆轻量化与可靠性技术湖南省高校重点实验室(长沙理工大学)开放基金资助项目

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针对以多工况载荷下结构柔顺度最小为目标函数,结构体积为约束条件的优化问题,提出了一种新的拓扑优化求解方法。首先,参考限界公式法,通过一个限界变量将原多个目标函数转化为约束条件,引入一个新的该限界变量的二次函数作为目标函数。同时,结合变体积约束限技术,建立新的近似拓扑优化模型。然后,基于有理近似材料模型和移动渐进线方法,给出了目标函数和约束函数及其导数的显式近似式。利用光滑化对偶算法,构建了具有收敛性的多工况载荷下连续体结构的柔顺度拓扑优化算法。给出的算例结果表明,与现有方法比,该方法可获得更优解或可高效地获得相同的优化解。且所提方法可稳健地获得清晰0/1分布的...

Most of engineering structures work under multiple load cases, and topology compliance minimization under multiple load cases are of important engineering value. A new compliance topology optimization method of continuum structures under multiple load cases with a volume constraint is proposed. Firstly, being referred to the bound formulation method, original multiple objective functions dealing with structural compliance under multiple load cases are transferred to multiple constraints by using a bound variable, and a novel quadratic function ...