基于蚁群算法的变刚度层合板角度优化分析

Angle optimization analysis of variable stiffness laminates based on ant colony algorithm

为了对变刚度复合材料层合板进行刚度分析,基于微分求积法(DQM)对层合板振动方程进行离散单元化处理,从而便于进行频率分析。同时,将基频作为振动的重要研究参数,将蚁群算法(ACA)与DQM联合使用,通过蚁群算法随机生成初始角度,从而实现在进化迭代过程中对DQM计算所得的频率值进行改进。分析结果表明:通过ACA的进化迭代过程,可以很好地对铺层始末角进行选择优化。通过信息素的逐代更新,并对ACA进行适当改进,实现最终角度收敛,寻找到最优铺层始末角为[<38°|62.75°>,<90°|72°>,<0°|5°>,<0°|5°>]S,对应频率值为11.712 57 Hz。同时对数据进行统计,表明初始角主要集中在0°、38°和90°附近;终止角分布较为松散,但主要集中在10°~90°附近。

In order to perform stiffness analysis of variable stiffness composite laminates, a discrete unitisation of the laminate vibration equation was carried out based on the differential quadrature method(DQM) in this study, which can facilitate frequency analysis. Meanwhile, the fundamental frequency is an essential research parameter of vibration. The ant colony algorithm(ACA) is used in conjunction with DQM to generate the initial angle randomly by the ACA to improve the frequency values calculated by DQM in the evolutionary iteration process. The results show that the evolutionary iteration process of ACA can optimize the selection of the beginning and termination angles of the pavement very well. Through updating the pheromone generation by generation and improving the ACA appropriately to achieve the final angle convergence, the optimal pavement start and end angles are found to be [<38°|62.75°>,<90°|72°>,<0°|5°>,<0°|5°>]S. Moreover, the corresponding frequency value is 11.712 57 Hz. Also, the data statistics show that the initial angles are mainly concentrated around 0°, 38°and 90°, and the termination angles are loosely distributed but mainly concentrated around 10°~90°.