两齿差外啮合双联行星传动的固有特性分析

Natural characteristics analysis of two teeth difference external compound planet transmission

为揭示两齿差外啮合双联行星传动的固有特性,采用集中参数法建立了该传动系统的平移-扭转耦合动力学数学模型。通过分析各运动构件间的相对位移关系,建立系统运动的微分方程,用Matlab程序计算获得系统的固有频率和主振型。分析结果表明,该行星传动具有中心构件扭转、中心构件平移和行星轮复杂振动模式,且其主振型与一般NGW行星传动有所不同,尤其是行星轮振动模式更为复杂,具有多种不同振动模式。研究结果可为该行星传动方式应用于抛光磨头时防止共振、减振降噪及结构优化提供参考。

An analytical translational-rotational-coupling dynamic model is developed to evaluate the natural characteristics of two teeth difference external compound planet transmission by adopting centralized parameters method. The governing differen-tial equations are established by deriving relative displacement relationships between all motional components, and Matlab is used to calculate and obtain the natural frequencies and free vibration modes of the transmission system. The analysis results show that the vibration modes are classified into rotational mode of the central members, translational mode of the central mem-bers and complicate vibration mode of the planetary gears. The vibration modes are different from the NGW planetary transmis-sion, and especially the planetary gears vibration mode are quite complex with several different vibration modes. The research can provide useful reference for preventing resonance, vibration and noise reduction, and structure optimization of the planet transmission mode used in polishing grinding.