HGT准双曲面齿轮承载传动误差的优化设计

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ml21和接触迹线与根锥的夹角η2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1 500 N·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| ml21|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.