摘要
建立行星齿轮传动弯曲-扭转耦合动力学模型,模型设定系统中每个构件均有3个自由度。通过分析各构件间的相对位移关系,列出其运动微分方程,通过求解其特征值,获得系统的固有频率和相应的振型。由振型坐标分析可知系统有三种振动模式:中心轮横向振动、中心轮扭转振动、行星轮振动。采用Newmark积分法对行星传动弯曲-扭转耦合动力学模型进行求解,获得啮合力动态响应,并考察载荷变化对动态响应的影响。
Bending-torsion coupling dynamics model of planetary gear transmission is established and it is assumed that each component of system has three degrees of freedom. Differential equation of motion is formulated through analyzing relative displacement relationship among the components, and natural frequency and corresponding vibration type of the system are obtained through calculating characteristic values. According to the analysis of vibration type coordinate, there are three vibration modes, i.e., lateral vibration of center gear, torsional vibration of center gear and vibration of planetary gear. Newmark integral method is used to solve the bending-torsion coupling dynamics model of planetary gear transmission, obtaining the response of dynamic meshing force. In addition, the influence of load variation on the dynamic response is taken into account.
出处
《起重运输机械》
2018年第4期122-127,共6页
Hoisting and Conveying Machinery
基金
国家自然科学基金资助项目(51205029和51305042)
长安大学中央高校基本科研业务费专项资金(310825161004)
关键词
行星齿轮传动
弯曲-扭转耦合
固有频率
振型
动态响应
planetary gear transmission
bending-torsion coupling
natural frequency
vibration mode
dynamic response
