基于遗传-二次规划法的封闭差动人字齿轮传动系统混合优化设计  

Compound Optimization Design of Encased Differential Herringbone Gear Transmission System based on Genetic Algorithm-Quadratic Programming

作　　者：朱增宝[1] 朱如鹏[2] 尹敏[1] 

机构地区：[1]安徽理工大学机械工程学院,安徽淮南232001 [2]南京航空航天大学机电学院,江苏南京210016

出　　处：《机械传动》2014年第9期55-59,共5页Journal of Mechanical Transmission

基　　金：国家自然科学基金(7150080050);安徽省教育厅自然科学研究重点项目(KJ2013A093;KJ2013A083)

摘　　要：采用变位齿轮正传动方式,建立了以减轻传动系统重量为优化目标的封闭差动人字齿轮传动系统优化数学模型。利用MATLAB优化工具箱中的遗传算法和二次规划算法优化函数进行混合优化。研究结果表明:把遗传算法的结果作为二次规划法优化的初值,解决了二次规划法优化优化设计变量初值难于确定问题;与单纯采用遗传算法或二次规划算法相比,该混合优化方法计算的优化值明显改善,系统重量显著降低;该优化方法为获得大规模的非线性约束优化设计精确的全局最优解提供了一种简单可行的解决办法。Using the positive transmission way of modified gear, a mathematical optimization model of the encased differential herringbone gear transmission system is set up by taking the lightest gear weight of this transmission system as the optimization objective. Taking the advantage of its opti- mization function of genetic algorithm and quadratic programming algorithm in MATLAB toolbox, the compound optimization design is carried out. The research results show that the problem of which the initial value of quadratic programming is difficult to determine is solved well by using the results of the genetic algorithm as the initial value of quadratic programming optimization. Compared with the genet- ic algorithm or quadratic programming, the optimization design variables of this compound optimization are obviously improved and the gear weight of the system is markedly reduced. The compound optimization method provides a simple and practical solution to obtain precise global optimal solution of the large--scale nonlinear constraint optimization.

关 键 词：封闭差动行星传动 遗传算法 二次规划算法 优化设计 

分 类 号：TH132.417[机械工程—机械制造及自动化]