连续体结构拓扑优化方法评述

A Survey of Topology Optimization of Continuum Structure

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。

Abstract:

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 curr...