复合材料结构的优化设计

本文提出复合材料结构优化设计的一种新的多级优化设计方法。在系统级优化中用优化准则法得到满足约束要求的最优复合材料迭层板厚度。在元件级优化中用线性规划技术使结构应变能最大,得到最优分层厚度,进一步减轻结构重量。 本文给出算例研究复合材料悬臂盒式梁和翼面结构,在给定外载作用下满足强度要求和挠曲变形规律要求时的优化设计。计算结果表明,本方法计算简便,收敛迅速,具有较高的效率易于工程应用。

OPTIMUM DESIGN OF COMPOSITE STRUCTURE

Here presented a new multilevel optimization procedure for minimum weight design of composite structure. The optimization process is divided into two levels: system level and component level. In system level the thicknesses of composite plates represent the design variables. The well-known optimality criterion method is used to modify the design variables to satisfy the constraint requirement and reduce the structural weight. The determination of optimal ply thicknesses of each composite plate is handled in component level. In component level the ply thicknesses of a composite plate are adjusted to maximize the strain energy in it by means of the Linear Programming Technique, and therefore to reduce the structural weight further. As illustrative examples are studied a cantilever composite beam and a composite wing box, which are subjected to strength constraint and specified deflection distribution constraint. The computational results indicate the efficiency of the method.