星轮偏心误差对浮动式星型齿轮传动动态特性的影响

摘要

Using the lumped-parameter method,a generalized dynamic model for a star gear transmission system was established considering gear manufacturing eccentric errors and gear pair time-varying mesh stiffness and clearance floating mechanism.The system's dynamic differential equations were solved with the numerical method to get its forced vibration responses.The system's dynamic characteristics were analyzed with time histories,phase plane plots,Poincare maps and Fourier spectral analysis.The effects of star gears' eccentric errors and clearance floating mechanism on dynamic characteristics of the system were studied.The results showed that star gears eccentric errors enhance the system' s vibration;different positions and different numbers of star gears eccentric errors cause different dynamic responses of the system;the clearance floating mechanism affects the stability of the system,it is harmful to vibration and noise control.%以太阳轮浮动式星型齿轮传动系统为研究对象,基于集中参数理论,建立了星型传动广义动力学模型,建模中考虑了齿轮制造偏心误差、时变啮合刚度以及间隙浮动机构等因素.采用数值解法对系统的动力学微分方程进行求解,获得了系统的受迫振动响应,利用时间历程、相平面、Poincare截面图及Fourier频谱分析了系统的动态特性.着重研究各星轮偏心误差及间隙浮动机构对星型轮系动态特性的影响规律.结果表明:星轮偏心误差增强了系统振动;不同位置、不同数量的星轮偏心误差作用,对应的系统动态响应不同;间隙浮动结构影响了系统的稳定性,不利于振动噪声的控制.