两级行星齿轮传动非线性啮合力频率耦合与动态特性研究  

Frequency coupling and dynamic characteristics of nonlinear meshing force for two-stage planetary gears

作　　者：刘辉[1,2] 蔡仲昌[3] 项昌乐[1,2] 

机构地区：[1]北京理工大学机械与车辆学院,北京100081 [2]北京电动车辆协同创新中心,北京100081 [3]中国航天三江集团特种车辆技术中心,武汉430023

出　　处：《振动与冲击》2015年第19期13-23,共11页Journal of Vibration and Shock

基　　金：国家自然科学基金(51375047);教育部新世纪优秀人才支持计划(NCET-12-0048)

摘　　要：利用拉格朗日方程推导了两级行星齿轮传动的平移-扭转非线性振动模型,模型考虑了齿侧间隙、时变啮合刚度及其相位差、综合啮合误差、行星轮位置角时变性以及各行星排级间连接件的弯曲和扭转刚度。从行星排级间连接轴的力与变形耦合关系出发,研究了两个行星排啮合力产生的啮合频率耦合现象。通过数值仿真对不同激励条件下啮合频率耦合的表现形式进行了研究,对不同行星排的动载系数、均载系数、连接轴转矩的动态特性进行了分析,为多级行星齿轮传动系统动力学分析与设计提供指导。Based on Lagrange＇s equation,the translational-torsional coupled nonlinear dynamic model of two stage planetary gears was established considering backlash,time-varying mesh stiffness and its phase difference,gear mesh composite errors,time-varying planet wheel position angle,and torsional and bending stiffnesses of connectors among different stages. According to the relationship among torques of connection shafts and vibration displacements of parts,the meshing frequency coupling phenomenon of mesh force for different stages was studied. Under different excitation conditions,the forms of meshing frequency coupling were analyzed. At the same time,the dynamic load coefficient and the load sharing coefficient of meshing force for different stages,and the dynamic characteristics of torques of connection shafts were calculated. The results provided a reference for design and dynamic analysis of multi-stage planetary gears.

关 键 词：行星齿轮传动 非线性 啮合力 啮频耦合 动载系数 均载系数 

分 类 号：TH132.41[机械工程—机械制造及自动化] TB123[理学—工程力学]