基于三次模拟退火算法的2K-H轮系等强度优化  

Equal Strength Optimization of 2K-H Gear Trains Based on Triple Simulated Annealing Algorithm

作　　者：李梓虓 赵罘[1] 龚堰珏 LI Zi-xiao;ZHAO Fu;GONG Yan-jue(School of Artificial Intelligence,Beijing Technology and Business University,Beijing 100048,China)

机构地区：[1]北京工商大学人工智能学院,北京100048

出　　处：《组合机床与自动化加工技术》2022年第12期144-147,153,共5页Modular Machine Tool & Automatic Manufacturing Technique

基　　金：国家自然科学基金项目(51975006)。

摘　　要：2K-H型行星轮系中有各齿轮接触疲劳强度不同的现象,从而容易导致寿命差异问题。通过建立三维模型并进行机构分析,将齿轮的齿数、法向模数等作为优化参数,提出以计算安全系数的方差为目标函数的等强度优化方法,将齿轮成型条件与装配条件作为约束,利用Python语言编写模拟退火算法进行求解;为减少模拟退火算法结果随机性和陷入局部最优解的情况,提出在模拟退火算法中的适当温度引入多次回火升温操作,从而实现三次模拟退火算法并进行求解。算例优化表明:该方法可使各齿轮间强度差异缩小,且三次退火相比单次退火的结果更好,能够有效平均各齿轮的寿命同时优化齿轮各项参数。2K-H series,a type of the planetary gear trains had the phenomenon that each gear had different contact fatigue strength,which easily led to the problem of different service life.In this article,a three-dimensional model is established and a mechanism analysis is carried out.The number of teeth,normal modulus of the gears and so on are used as the optimization parameters,and the method of equal strength optimization is proposed with the variance of the calculating safety factors as the objective function,and the gear forming conditions and assembly conditions are used as constraints,a simulated annealing algorithm is written in Python for the solution.In order to reduce the randomness of the simulated annealing algorithm results and the situation of falling into local optimal solutions,multiple tempers are operated at appropriated temperatures in the simulated annealing algorithm,so as to implement triple simulated annealing algorithm and perform the solution.The results of optimization example show that the method can reduce the difference of strength among gears,the result of triple simulated annealing algorithm is better than the single one,the service life of each gear are effectively averaged and gear parameters are optimized.

关 键 词：行星轮系 齿轮强度 安全系数 等强度优化 模拟退火算法 

分 类 号：TH16[机械工程—机械制造及自动化] TG502[金属学及工艺—金属切削加工及机床]