摘要
为揭示NW型直齿行星传动的固有特性,在系杆随动参考坐标系下建立该类传动系统的平移-扭转耦合动力学模型.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,进而通过求解其特征值问题获知系统的固有频率和相应振型.固有特性分析表明,NW型行星传动有3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.其中,行星轮振动模式又可细分为行星轮同振、左振、右振3种子模式,此点与NGW型行星传动颇为不同.NW型行星传动的振动模式与构件支承刚度间存在一定映射关系.其中,中心构件的支承刚度仅影响中心构件相应方向上的振动模式,而与行星轮振动模式无关;行星轮支承刚度对系统3种振动模式均有影响.
An analytical translational-rotational-coupling dynamic model was developed to evaluate the inherent characteristics of NW spur planetary gear unit. By deriving the displacement relationships between gears and carrier, the governing differential equations were obtained. The solution to associated eigenvalue problem led to natural frequencies and free vibration modes of transmission. The vibration modes are classified into three categories, i.e., rotational mode, translational mode, and planet mode based on their unique properties. And planet mode can be further classified into three sub-categories： global-planet sub-mode, left-planet sub-mode and right-planet sub-mode. The investigation into component stiffness reveals that the radial and circumferential stiffness of central component only influences rotational and translational modes, while the radial and torsional stiffness of planet affects all the three modes.
出处
《天津大学学报》
EI
CAS
CSCD
北大核心
2011年第8期677-682,共6页
Journal of Tianjin University(Science and Technology)
基金
国家自然科学基金资助项目(50205019
50905122)
关键词
直齿行星传动
动力学建模
固有特性
固有频率
振动模式
spur planetary gear unit
dynamic modeling
inherent characteristics
natural frequency
vibration mode
