基于整体-局部技术的结构形状优化策略  

A strategy for structural shape optimization based on global-local technique

作　　者：吴志学[1] WU Zhi-xue(Mechanical Engineering College,Yangzhou University,Yangzhou 225127,China)

机构地区：[1]扬州大学机械工程学院,扬州225127

出　　处：《计算力学学报》2021年第5期573-579,共7页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(51075354)资助项目.

摘　　要：针对大尺度结构局部形状优化设计中的求解效率与精度之间的矛盾,提出了一种基于整体-局部技术的结构形状优化方法。首先,分析并讨论了是否考虑对切割边界的边界条件进行修正的两种优化方案的优缺点。然后,提出了一种将整体-局部技术与无梯度优化法相结合的双循环优化程序。最后,通过一系列实例对双循环优化程序的实用性、效率和结果精度进行了验证分析。结果表明,提出的基于整体-局部技术的结构形状优化策略对解决大尺度结构局部形状优化问题,无论是在计算效率还是在结果精度方面,都具有很好的效果。A global-local technique based optimization method is proposed with the aim of solving the contradiction between efficiency and accuracy for shape optimization design of large-scale structures.Firstly,the merits and demerits of two optimization approaches,with and without cut-boundary displacement modification,are analyzed and discussed.Secondly,combining the global-local technique and gradientless shape optimization method,a dual loop optimization procedure is developed.Finally,numerical results are presented to validate and demonstrate the feasibility,effectiveness and accuracy of this optimization strategy in achieving an optimal design.The results show that the implementation of the global-local technique based optimization method can lead to considerable improvements in optimizing local shapes of large-scale structures with reasonable efficiency and accuracy.

关 键 词：形状优化 应力集中 整体-局部技术 有限元方法 无梯度优化法 

分 类 号：O224[理学—运筹学与控制论]