变位设计对斜齿轮系统动态特性影响研究  

Study on the Influence of Modified Design on the Dynamic Characteristics of the Helical Gear System

作　　者：王偌怡 杨建伟 王金海[1,2] Wang Ruoyi;Yang Jianwei;Wang Jinhai(School of Mechanical Electronic and Vehicle Engineering,Beijing University of Civil Engineering and Architecture,Beijing 100044,China;Beijing Key Laboratory of Performance Guarantee on Urban Rail Transit Vehicles,Beijing University of Civil Engineering and Architecture,Beijing 102616,China)

机构地区：[1]北京建筑大学机电与车辆工程学院,北京100044 [2]北京建筑大学城市轨道交通车辆服役性能保障北京市重点实验室,北京102616

出　　处：《机械传动》2024年第8期1-8,共8页Journal of Mechanical Transmission

基　　金：国家自然科学基金项目(52205083,52272385,51975038);北京市自然科学基金项目(L231016,3214042,L211008)。

摘　　要：为了研究不同变位设计下斜齿轮的动态特性,以标准斜齿轮和变位斜齿轮为对比研究对象,基于拉格朗日动力学建立了斜齿轮传动系统动力学模型;采用解析法求解变位斜齿轮时变啮合刚度,分析了不同变位系数对啮合刚度的影响;将不同变位设计下的斜齿轮时变啮合刚度与动力学模型结合,分析了不同变位设计对斜齿轮系统动态特性的影响。结果表明,斜齿轮正传动修正能够减小时变啮合刚度,从而减小啮合力;负传动修正能够增大时变啮合刚度,从而增大啮合力。研究可为后续斜齿轮传动的设计和优化提供一定的参考。In order to study the dynamic characteristics of helical gears with different modified designs,a pair of standard gears and modified gears are taken as comparative experimental objects,and the dynamics mod⁃el of a modified helical gear system is established based on Lagrange dynamics.An analytical method is used to solve the time-varying meshing stiffness of a modified helical gear,and the influence of different modification coefficients on the meshing stiffness is analyzed.By combining the time-varying meshing stiffness of helical gears with the dynamic model,the influence of different modified designs on the dynamic characteristics of the helical gear system is analyzed.The results show that the positive drive reduces the time-varying meshing stiff⁃ness,thereby reducing the meshing force,and the negative drive increases the time-varying meshing stiffness,thereby increasing the meshing force.The results can provide a reference basis for designing and optimizing the subsequent helical gear transmission.

关 键 词：变位系数 势能法 时变啮合刚度 动态特性 重合度 

分 类 号：TH132.41[机械工程—机械制造及自动化]