基于实验设计法的工程结构优化设计

Structural optimization based on the experimental design method

基于实验设计法 ,提出了一种新的工程结构优化设计方法。这种方法将设计变量的水平值配列于正交表中 ,按正交表的参数组合条件进行结构解析 ,通过对设计变量对于目标函数值的方差分析和 F检验 ,改变设计变量的水平值 ,进而通过迭代计算使设计变量趋于最优解。本文以桁架结构为计算例 ,验证了本方法的全局收敛性和优化精度。由于无需构建目标函数和约束函数以及微分计算 ,此方法具有简单而又适应广泛的优点。

A new optimization method based on the experimental design method is proposed. A set of combinations of design variables is arranged in an orthogonal array in order to evaluate the structural response. Then, a set of design variables is updated through analysis of variance and F\|test. Without forming objective function, constraint functions and differential calculating. This optimization method is simple and feasible. Through numerical examples of truss design problems, the effectiveness and the global convergence of the proposed method is demonstrated.