空心风扇叶片结构优化设计方法及程序实现

在空心风扇叶片结构强度分析的基础上,以叶片最大等效应力水平为约束条件,建立了叶片质量和径向位移最小化的双目标优化模型.采用正交试验设计的方法,分析了各设计变量对约束函数和目标函数的影响,减少了设计变量的数量.为了提高优化设计效率,采用径向基函数插值的方法,构造了约束函数和目标函数的响应面替代模型,从而避免了优化设计过程中大量的结构有限元分析求解.针对空心叶片结构强度优化设计的示例,探讨了替代模型和带精英策略的Pareto排序遗传算法的具体应用,得到了分布均匀的Pareto最优解,给出了空心叶片示例的具体优化设计结果.

Structural design optimization method and program implementation for a hollow fan blade

A bi-objective optimization model for a hollow fan blade was established for the purpose of minimizing the mass and radial displacement with the constraint of maximum Von Mises equivalent stress,based on the structural analysis of a hollow fan blade.The effects of design variables on the constraint function and objective functions were studied using orthogonal experimental design method,and the number of design variables was reduced as a result.The response surface metamodels of constraint function and objective functions were constructed using radial basis function method so as to improve the efficiency of structural design optimization and avoid a lot of finite element analysis during the optimization process.An example was solved for the purpose of studying the applications of metamodels and elitist non-dominated sorting genetic algorithm(NSGA-Ⅱ) for the bi-objective structural design optimization of a hollow fan blade,then a group of uniform Pareto solutions and some recommended optimal results of a hollow fan blade example were obtained.