用序列二次规划作复合材料结构的优化设计
MINIMUM WEIGHT DESIGN OF COMPOSITE STRUCTURE USING SEQUENTIAL QUADRATIC PROGRAMMING METHOD
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摘要: 本文介绍用序列二次规划进行金属与复合材料的薄壁混合结构在给定拓朴、几何外形和材料组成条件下的最轻结构设计.以有限元素法为分析手段,元素为金属及复材的杆膜元,取板厚、杆截面尺寸及复材的各向铺层的层数为设计变量.这里主要介绍位移及工艺尺寸约束下的最轻重量设计,对于其它复杂约束其基本原理和方法是类似的.序列二次规划作结构设计的主要优点在其工程应用价值.它的重分析次数少,从本文的实例中可以看出它比最佳准则法解大型的命题重分析次数约少40～50%;并且可以统一处理各种不同类型的约束,这对大型复材飞机结构的优化设计,无疑有着很大的经济效益.Abstract: Optimality Criteria Method (OCM) has been successfully used in the optimum design of fiber reinforced composite structures with stress and displacement constraints.The default of OCM for this kind problem is that its efficienty is not very high and the interation history is rather long.In this paper,reciprocal variables have been used and the original problem has been replaced by a dual problem in quadratie form and by SQPM,and then the dual problem of mathematical programming has resulted in a very efficient method of composite structural ooptimization.The results of comparison of the two methods in one example are presented.The project is suported by the Science Fund of the Chinese Academy of Science.
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