连续体结构拓扑优化方法评述  

A Survey of Topology Optimization of Continuum Structure

作　　者：夏天翔[1] 姚卫星[1] 

机构地区：[1]南京航空航天大学飞行器先进设计技术国防重点学科实验室,南京210016

出　　处：《航空工程进展》2011年第1期1-11,55,共12页Advances in Aeronautical Science and Engineering

基　　金：教育部长江学者创新团队项目(Irt0906)

摘　　要：连续体结构拓扑优化在优化中能产生新的构型,对实现自动化智能结构设计具有重要意义。目前,连续体结构拓扑优化方法主要有:均匀化方法、变厚度法、变密度法、渐进结构优化方法、水平集法、独立连续映射方法。本文首先系统回顾了以上方法的发展历程,介绍了它们的研究现状。其次,通过对比以上拓扑优化方法对若干典型算例的优化结果,表明以上方法都有较好的减重效果。最后,对以上方法进行了总结,列出了它们的优缺点和发展方向。As the topology optimization of continuum structure can produce new configurations during the optimization, it is significant for automatic structure design. At present, the most commonly used topology optimization methods of continuum structure are： the homogenization method, variable thickness method, variable density method, evolutionary structural optimization method, level set method, independent continuous mapping method. Firstly, the development processes of above methods are systematically reviewed, their current research is briefly introduced in this paper. Then, these methods are compared and discussed through a number of typical examples. The typical examples show that all of above methods have great abilities to reduce weight. Finally, the advantages, disadvantages and development directions of above methods are discussed.

关 键 词：拓扑优化 均匀化方法 变厚度法 变密度法 渐进结构优化方法 水平集法 独立连续映射方法 

分 类 号：V211.7[航空宇航科学与技术—航空宇航推进理论与工程]