结构优化建模方法研究进展  

Review of Modelling for Structural Optimization

作　　者：李东泽[1] 于登云[2] 马兴瑞[2] 

机构地区：[1]中国空间技术研究院,北京100094 [2]中国航天科技集团公司,北京100037

出　　处：《航天器工程》2009年第4期30-36,共7页Spacecraft Engineering

基　　金：国家重大科技专项工程

摘　　要：列举了结构优化中常用的建模方法,并根据对设计变量和状态变量的处理方式不同,将其分为传统优化模型、同步优化模型和两相法优化模型。然后分析了各模型的原理并对其优缺点进行了对比,同时列举了各模型的应用范围及适用的优化算法。详细介绍了近年来出现的半定规划法在结构优化领域中的应用,描述了航天器结构刚度优化中具有特殊困难的重频优化问题的半定规划法建模过程。最后指出了今后结构优化建模方法的发展方向。This paper lists the modeling methods used in structural optimization and divides the methods into the nested analysis and design,simultaneous analysis and design,and two-phase formulation according to the approach of handling the design variables and state variables.The mechanisms of various models are analyzed,and the advantages and disadvantages are compared.The scope of application and algorithm of various models are presented.The semidefinite programming,which can be applied to structural optimization, is reviewed in detail, and the multiple eigenvalues optimization design of the spacecraft structure via SDP is described. Finally, the future direction of the modeling methods of structural optimization is pointed out.

关 键 词：结构优化 传统优化 两相法 同步优化 半定规划 优化模型 

分 类 号：TP301[自动化与计算机技术—计算机系统结构]