双联3K型行星齿轮系统固有特性分析

Dynamic Characteristics Analysis of Double 3K Planetary Gear Systems

为研究双联3K行星齿轮系统固有特性,根据系统各构件间的相对位移,考虑啮合刚度和支承刚度的影响, 采用集中参数法建立其平移-扭转耦合动力学模型。运用MATLAB中eig函数求解动力学方程,得到系统的固有频率 和振动模式,研究刚度和行星轮个数对系统固有特性的影响。结果表明:系统具有3种振动模式,中心构件扭转振动模 式、中心构件平移振动模式及行星轮振动模式;3种振动模式下的固有频率个数与行星轮个数无关;2000Hz以内的中 心构件平移振动模式的固有频率受行星轮个数的影响显著;系统低阶固有频率受支承刚度影响大于啮合刚度,且 2000Hz以内的低阶固有频率受第一级齿圈支承刚度影响较大。研究结果为双联3K行星齿轮系统的动态特性优化设 计提供了理论依据。

A translational-rotational coupling dynamic model of the double 3K planetary gear system is presented using lumped-parameter method.The natural frequency and vibration mode of the system are solved with the eig function in MATLAB,and the effects of bearing stiffness,mesh stiffness and the number of planetary gears on the dynamic characteristics are analyzed.The results show that the vibration modes can be classified into three types:torsional mode,translational mode,and planetary gear vibration mode.The number of natural frequencies in each mode is independent of the number of planetary gears.The natural frequencies of torsional mode within 2 000 Hz are most significantly affected by the number of planetary gears;the effect of bearing stiffness on the lower order natural frequency is more pronounced than that of mesh stiffness;and the influence of the first stage ring gear bearing stiffness on natural frequency within 2 000 Hz is remarkable.This study provides a theoretical basis for the dynamic characteristic optimization design of double 3K planetary gear systems.