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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。
This paper presents the lightest structural design for thin-walled hybrid structures of metal and composite materials with given topologies, geometries, and material compositions using sequential quadratic programming. Taking the finite element method as the analysis method, the element is the rod membrane element of the metal and the complex material, taking the thickness of the plate, the section size of the rod, and the number of layers of the directional ply of the complex material as the design variables. This article mainly introduces the lightest weight design under the constraints of displacement and process size. The basic principles and methods for other complicated constraints are similar. The main advantage of sequence quadratic programming for structural design is its engineering application value. It has less reanalysis times, and it can be seen from the example in this paper that it is about 40-50% smaller than the optimal criterion method to solve large-scale propositional reanalysis. And it can deal with various types of constraints uniformly, The optimal design of the material aircraft structure undoubtedly has great economic benefits.