基于层次分析和遗传算法的国产大飞机液压膨胀环多目标优化分析

Multi-objective Optimization Analysis of Hydraulic Expansion Ring for Domestic Large Aircraft Based on Analytic Hierarchy Process and Genetic Algorithm

飞机液压管路膨胀环能够很大程度上吸收外载荷产生的多余应力,但是会增加管路系统质量,进而降低功重比。以管路静力学、动力学及质量为优化目标,推导与膨胀环折弯角度、弯曲半径、跨度和高度4个参数相关的各目标函数。不同函数的量纲通过层次分析法进行统一,使多目标优化问题转向单目标优化问题。其中,通过调整目标函数的权重系数来体现多个目标的不同重要程度,再结合遗传算法求解得到膨胀环最优设计参数,最后对膨胀环动力学数学模型进行了实验验证。结果表明:膨胀环动力学数学模型准确性较高,引入的层次分析遗传算法能权衡管路综合特性,得到膨胀环的合理结构参数。

Aiming at the hydraulic pipeline of civil aircraft with expansion rings,combined with international airworthiness standards,the objective functions related to the four parameters of bending angle,bending radius,span and height of expansion rings were established with the optimum static and dynamic characteristics and the lightest weight of the pipeline as the optimization objective.The dimensions of different functions were unified by the analytic hierarchy process,the multi-objective optimization problem was turned to the single-objective optimization problem.The weight coefficient of the objective function was adjusted to reflect the different importance of multiple objectives.The importance of multiple goals was reflected by the weight coefficient.Finally,the dynamic mathematical model of expansion ring was verified by experiments.The results show that the mathematical model of expansion ring dynamics is accurate,and the genetic algorithm of analytic hierarchy process can be used to weigh the comprehensive characteristics of pipeline and the reasonable structural parameters of expansion ring areobtained.