基于敏度权重系数的渐进结构优化算法

Bi-directional Evolutionary Structure Optimization Based On the Void Element Sensitivity Weight Coefficient

渐进结构优化算法在使设计域达到体积约束后,目标函数值基本不变而结构在两个相似形状之间反复震荡,达不到收敛,算法效率不高。针对此问题,提出1个无材料元素敏度权重系数,在对元素敏度进行全局排序时,对无材料元素敏度乘以敏度权重系数β,从而降低无材料元素的重要性,减少了设计域在满足体积约束后结构的震荡程度,加快算法收敛速度,通过两个算例,验证了该方法的有效性。

When the volume constraint is satisfied in Bi-directional Evolutionary Structure Optimization,the design domain oscillated between two similar structures while the object function seldom or never change and the algorithm will not be convergent. An evolutionary structure optimization based on the void element sensitivity weight coefficient β was presented to solve this problem. In the method,the sensitivity of void element was multiplied a weight coefficient to undermine the importance of the void element when doing the element sensitivity ranking,the oscillation of the structure will decrease when the volume constraint is satisfied and the algorithm efficiency is improved. The method is then applied to two cantilevers＇ structure optimization and the results demonstrates that the methodology is effective.