基于多目标遗传算法的弧齿锥齿轮多学科优化设计

摘要

针对常规设计中弧齿锥齿轮存在的问题,将多学科优化设计引入到弧齿锥齿轮设计中,改善其不足.以大小弧齿锥齿轮体积之和最小、弧齿锥齿轮齿根弯曲应力最小以及工作噪音最小三个方面为目标函数,以齿数、齿宽中点螺旋角、齿宽和大端模数为设计变量,考虑齿面接触疲劳强度、齿根弯曲疲劳强度、环境保护等8个方面约束,建立弧齿锥齿轮的多学科优化设计数学模型.根据该数学模型,运用多目标遗传算法对文中的实例优化求解,计算结果表明该设计方法是合理的,行之有效的.%Aimed at the problem of spiral bevel gear in the conventional design,the multidisciplinary design optimization to the design of spiral bevel gear was introduced to improve its shortcomings.Served the smallest volume of spiral bevel gear pair, the minimum bending stress of spiral bevel gear tooth root and the minimum work noise as the objective Junctions with the teeth number,helix angle of the midpoint of tooth width, the tooth width and the end module as the design variables,considering constraints in eight aspects such as the tooth surface contact fatigue strength, the tooth root bending fatigue strength, the environmental protection and so on,a mathematical model for the multidisciplinary optimization design of the spiral bevel gear was establishedAccording to the mathematical model,the multi-objective genetic algorithm was applied to solve the instance,the result showed that the design method is reasonable and effective.