计算力学学报2017,Vol.34Issue(2):143-147,5.DOI:10.7511/jslx201702003
基于虚拟材料的T-B梁拓扑优化ESO方法
Study of ESO on Tie-beam problem using virtual material
摘要
Abstract
Since Zhou and Rozvany introduced Tie-beam problem to highlight the failure of Evolutionary Structural Optimization (ESO) in 2001,a lot of solutions have been proposed to solve this hard nut.The problem is unsolved yet because the current solutions contain some shortcomings or fail to obtain optimization.A virtual material method is proposed in this paper in which a checking operation is inserted into original ESO iterations.By evaluating the strain energy change of the selected element to which a virtual material with low Young's modulus is introduced,the failure of the structure's internal load path can be checked.Thereafter,the removal or of an element can be decided upon.The numerical examples show that the proposed method can prevent the ESO from failing to solve the Tie-beam problem.The proposed method does not change the evolutionary procedure of original ESO method and its ability to achieve optimization because the method adds a checking operation in iterations only.关键词
ESO/结构拓扑优化/T-B梁/虚拟材料/传力路径/有限元方法Key words
ESO method/topology optimization/Tie-beam/virtual material/load path/finite element method分类
数理科学引用本文复制引用
周海涛,张大可,杨毅超,梁圣,龚宪生..基于虚拟材料的T-B梁拓扑优化ESO方法[J].计算力学学报,2017,34(2):143-147,5.基金项目
国家973课题(2014CB049403)资助项目. (2014CB049403)