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渐进结构优化方法失效机理分析与改进策略
引用本文:贺丹,刘书田.渐进结构优化方法失效机理分析与改进策略[J].计算力学学报,2014,31(3):310-314.
作者姓名:贺丹  刘书田
作者单位:沈阳航空航天大学, 辽宁省飞行器复合材料结构分析与仿真重点实验室, 沈阳 110136;大连理工大学 工程力学系, 大连 116024
基金项目:国家自然科学基金(91216302);校博士启动基金(11YB27)资助项目.
摘    要:针对ESO方法在Zhou-Rozvany算例中失效的根本机理进行了深入的分析,提出有效的改进策略。指出ESO方法失效的根本原因既不是网格划分的数目过少,也不是优化策略的不合理,而是对于各单元内材料有效性评估的误差所致。针对ESO方法的失效机理引入奇异单元的概念,并提出了一种基于奇异单元的改进策略,改进后的ESO方法能够在网格较为稀疏的情况下保证0-1优化结果的合理性。

关 键 词:渐进结构优化  拓扑优化  敏度分析  奇异单元
收稿时间:6/5/2013 12:00:00 AM
修稿时间:2013/10/7 0:00:00

The causative agent of invalidation and improvement strategy for evolutionary structural optimization
HE Dan and LIU Shu-tian.The causative agent of invalidation and improvement strategy for evolutionary structural optimization[J].Chinese Journal of Computational Mechanics,2014,31(3):310-314.
Authors:HE Dan and LIU Shu-tian
Institution:Key Laboratory of Liaoning Province for Composite Structural Analysis of Aerocraft and Simulation, Shenyang Aerospace Uinversity, Shenyang 110136, China;Department of Engineering Mechanics, Dalian University of Technology, Dalian 116024, China
Abstract:The causative agent of invalidation of evolutionary structural optimization in view of Zhou-Rozvany example was analyzed and an improved strategy was proposed.Initially the cause of invalidation of ESO was found to emanate from the error in sensitivity analysis rather than sparse mesh or error in evaluation strategy.The singularity element was introduced on which the improved strategy was proposed.Eventually the improved ESO method proved that,optimal 0-1 topology result can as well be obtained through sparse mesh.
Keywords:ESO  topology optimization  sensitivity analysis  singularity element
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