HGT准双曲面齿轮承载传动误差的优化设计  

Optimization design of loaded transmission error for HGT hypoid gear drives

作　　者：王星[1] 方宗德[2] 牟彦铭 杜进辅[3] 崔艳梅[4] 

机构地区：[1]西安科技大学机械工程学院,西安710054 [2]西北工业大学机电学院,西安710072 [3]西安理工大学机械与精密仪器工程学院,西安710048 [4]郑州航空工业管理学院机电学院,郑州450015

出　　处：《振动与冲击》2017年第8期34-40,共7页Journal of Vibration and Shock

基　　金：国家自然科学基金资助项目(51375384;51175423);航空科学基金(2015ZB55002)

摘　　要：承载传递误差曲线的波动程度可反映出齿轮副的动态性能,波动幅值越大,噪音越大;波动幅值越小,噪音越小,传动越平稳。首先以局部综合法(Local Synthesis)为基础,并依据格里森准双曲面齿轮的加工原理,对HGT准双曲面齿轮进行了加工参数设计。在此基础上以传动比函数的一阶导数m'_21和接触迹线与根锥的夹角η_2为优化变量,以承载传动误差幅值最小为目标函数,通过遗传算法对加工参数进行优化设计,以提高齿轮副的动态特性。研究发现:①当大轮加载扭矩分别为800N·m和1500N·m时,优化后承载传动误差幅值分别降低了37.92%和16.57%;②为了保持齿轮副较好的振动特性,应使其尽量在局部最小幅值对应的载荷附近工作,且随着︱m'_21︱的增大,局部最小幅值向大载荷方向移动,说明要使齿轮副具有较小的承载传动误差幅值需要较大的载荷。The fluctuation degree of the loaded transmission error curve can reflect the dynamic performance of a gear pair. The greater the fluctuation amplitude, the bigger the noise; the smaller the fluctuation amplitude, the smaller the noise and the transmission is more stable. Firstly, based on the local synthesis method (Synthesis Local), and according to the processing principle of the Gleason hypoid gear, the processing parameters of the HGT hypoid gear were designed. On this basis, the first order derivative of transmission ratio function and the angle between the contact trace and the root cone were treated the optimization variables, and the amplitude of the loaded transmission was treated as the objective function, then the optimization design for the processing parameters was done through the genetic algorithm, for improving the dynamic characteristics of the gear pair. It is found that: (1) when the gear load torque is 800 N·m and 1 500 N·m, the amplitude of the loaded transmission error is reduced by 37.92% and 16.57% respectively; (2) in order to keep the desirable vibration characteristics of gear pair, it should be to work near the load of local minimum amplitude; and with the increase of, the local minimum amplitude is moved to the direction of large load; it illustrates that, in order to make the gear pair with a smaller load bearing capacity, the amplitude of the loaded transmission error is larger. © 2017, Editorial Office of Journal of Vibration and Shock. All right reserved.

关 键 词：HGT加工方法 准双曲面齿轮 加工参数设计 承载传动误差 优化设计 

分 类 号：TH132.41[机械工程—机械制造及自动化]