渐进结构优化方法失效机理分析与改进策略

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。%T he causative agent of invalidation of evolutionary structural optimization in view of Zhou-Roz-vany 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 eval-uation 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 .