摘要
提出一种基于子结构凝聚理论的多层级拓扑优化方法,用于设计包含细密几何特征的结构。该方法将高层级整体结构划分为若干低层级子结构。其中,高层级结构通过变密度拓扑优化方法获得结构构型;低层级构型以结构几何参数描述,采用静态凝聚法实现内部节点自由度凝聚,通过对结构参数寻优实现低层级变拓扑的优化设计。通过承载梁最小柔度设计及散热结构局部热源冷却设计算例,验证了所提方法的有效性。
A multilevel topology optimization model based on substructure static condensation method is proposed to optimize the structure with fine featuresIn the proposed model,the high-level structure is divided into a series of low-level substructuresThe material distribution of the high-level structure is obtained by a density-based topology optimization approachThe low-level configuration is determined by structural geometric parametersThe static condensation method is adopted to condense the internal degrees of freedom of the low-level structural and the low-level variable topology design is realized by optimizing structural parametersThe effectiveness of the proposed method is illustrated with the design examples considering load bearing and heat transfer properties.
作者
方喆
耿达
周明东
FANG Zhe;GENG Da;ZHOU Mingdong(School of Mechanical Engineering,Shanghai Jiao Tong University,Shanghai 200240,China)
出处
《机械设计与研究》
CSCD
北大核心
2021年第1期1-5,共5页
Machine Design And Research
基金
国家自然科学基金青年科学基金资助项目(51705311)。
关键词
结构拓扑优化
多层级优化
子结构凝聚法
变密度法
topology optimization
multilevel optimization
substructure condensation
density-based method
