用多项式变量进行复合材料层合板带刚度约束优化设计

OPTIMUM DESIGN OF COMPOSITE LAMINATES WITH STIFFNESS REQUIREMENTS

对复合材料层合板进行了带刚度约束的优化设计 ,在刚度及尺寸约束下使结构重量最小化。铺层的厚度分布由一个双二次多项式描述 ,其 6个系数被用作设计变量。刚度分析用有限元法完成 ,其中采用了一种考虑横向剪切影响的三角形单元。敏度分析用解析法完成。优化问题用约束变尺度法求解。

The stiffness constrained optimum design of composite laminates is studied. The structural weight is chosen to be the objective function, which is minimized under the stiffness and gauge constraints.The lamina thickness distribution is described by a biquadratic polynomial, whose six coefficients are chosen to be the design variables. The stiffness analysis is performed by the finite element method, in which a triangular element considering the transverse shear effects is used. The optimum problem is solved with the constrained variable metric method. A trapezoid composite laminate is designed.