3K-Ⅱ型直齿行星齿轮传动的固有特性  

Inherent Characteristics of 3K-Ⅱ Spur Planetary Gear Trains

作　　者：宋轶民[1] 张俊[1] 张君[1] 王世宇[1] 刘建平[1] 

机构地区：[1]天津大学天津市先进制造技术与装备重点实验室,天津300072

出　　处：《机械工程学报》2009年第7期23-28,共6页Journal of Mechanical Engineering

基　　金：教育部科学技术重点资助项目(106050)

摘　　要：为揭示3K-II型直齿行星齿轮传动的固有特性,建立该类传动系统在系杆随动参考坐标系下的平移—扭转耦合动力学模型。模型设定系统中每个构件均拥有3自由度,并计入各构件的支承刚度、轮齿时变啮合刚度和陀螺效应等影响因素。通过分析各构件间的相对位移关系,推导出系统的运动微分方程,进而求解其特征值问题即可获知系统的固有频率和相应振型。固有特性分析表明,3K-II型行星齿轮传动具有与2K-H行星齿轮传动类似的三种典型振动模式,即扭转振动模式、平移振动模式和行星轮振动模式。列出三种典型振动模式下传动系统的运动特征。A translational-rotational coupling model of 3K-II spur planetary gear trains is developed to investigate the natural frequencies and corresponding vibration modes. The model admits three planar degrees of fxeedom for each of the sun, rings, carrier and planets and includes some key factors affecting planetary gears vibration such as component bearing stiffness, time -varying mesh stiffness and gyroscopic effect. By deriving the displacement relationships between gears and carrier, the governing differential equations are obtained. The solution of associated eigenvalue problem leads to natural frequencies and vibration modes of the transmission. The vibration modes are classified into three types, i.e., rotational modes, translational modes, and planetary gear modes based on their unique properties.

关 键 词：行星齿轮传动 固有频率 振型 

分 类 号：TH132.3[机械工程—机械制造及自动化]