A mathematical model is presented for studying the dynamic properties of rotor-bearing-coupling system under the effects of varying compliance, radial clearance, rotor-stator rubbing, raceway defects and surface waviness. Nonlinearity of bearings, localized and distributed defects will elicit abundant nonlinear response, which will directly affect the mechanical characteristics of bearings as well as motion stability of rotor systems. The effects of typical parameters on mechanical characteristics and nonlinear dynamic response of the rotor system are analyzed by means of bifurcation diagrams, speed-amplitude, time-histories, spectrum, phase diagrams, and Poincaré sections. The results provide theoretical support for studying the nonlinear vibration mechanism and the control of rotor-bearing system in practical applications.

提出了一个数学模型来研究在变化的顺应性，径向游隙，转子-定子摩擦，滚道缺陷和表面波纹度的影响下的转子-轴承-联轴器系统的动力学特性。轴承的非线性，局部缺陷和分布缺陷会引起大量的非线性响应，这将直接影响轴承的机械特性以及转子系统的运动稳定性。通过分叉图，速度振幅，时间历史，频谱，相位图和庞加莱截面，分析了典型参数对转子系统机械特性和非线性动力响应的影响。研究结果为实际应用中非线性振动机理的研究和转子轴承系统的控制提供了理论依据。