整体局部方法在结构形状优化中的应用  

Application of Global-local Method to Structural Shape Optimization

作　　者：高帅[1] 徐亚洲[1] 

机构地区：[1]扬州大学机械工程学院,江苏扬州225009

出　　处：《机械工程与自动化》2015年第5期17-19,共3页Mechanical Engineering & Automation

基　　金：国家自然科学基金资助项目(51075354)

摘　　要：探讨了将整体局部方法应用在以有限元方法为基础的结构形状优化中的可行性。以无限大平面中心孔的应力集中问题为例,给出了应用该方法进行形状优化时出现的两类基本问题(定切割边界问题和不定切割边界问题)的解决方案。经分析发现,定切割边界优化方法有更高的通用性,但不定切割边界优化结果更接近真实解。由此可见设计边界形状的变化对切割边界位移插值的正确性影响较大。The feasibility that the global-local method can be applied to structural shape optimization based on the finite element method is discussed in this paper.The classical question of elasticity just about centre hole＇s stress concentration in infinite plane is taken as example,the problem of huge computation and inefficiency in engineering structural local shape optimization is solved.The solutions have been given to solve the two basic problem：fixed cutting boundary and variable cutting boundary.The results show that design boundary shape change has great influence on the accuracy of cutting-boundary＇s displacement interpolation.

关 键 词：形状优化 整体局部法 切割边界 应力集中 

分 类 号：TB115[理学—数学]