中文摘要：

建立含转子不平衡／松动耦合故障的转子--滚动轴承--机匣耦合系统动力学模型。在模型中，考虑转子不平衡和轴承座松动故障的耦合、滚动轴承间隙、滚动轴承滚珠与滚道的非线性赫兹接触力以及由滚动轴承支撑刚度变化而产生的变柔性振动。运用数值积分方法获取系统响应，并利用振幅--转速曲线、分叉图、相平面图、频谱图、Poincare断面图和轴心轨迹图研究系统的分叉与混沌运动，分析旋转速度、轴承座质量、转子偏心量、轴承座与机匣间的连接刚度以及机匣与基础间的连接刚度对系统响应的影响，得到了在不平衡／松动故障耦合下的转子--滚动轴承--机匣系统动力响应规律。

英文摘要：

A new rotor-ball bearing-stator coupling dynamics model is established. In the model, the rotor mass unbalance and looseness of beating house faults are included, and the nonlinear factors of ball bearing are considered such as the clearance of bearing, nonlinear Hertzian contract force between balls and races, and the varying compliance vibration because of periodical variety contact position between balls and races. The numerical integral method is employed to obtain system＇s responses, and the vibration amplitude-rotating speed curve, bifurcation plot, phase plane plot, frequency spectra and Poincare map are used to analyze bifurcation and chaos motion, and the effects of rotating speed, beating house mass, rotor eccentricity, stiffness between bearing house and stator and stiffness between stator and foundation on system dynamic responses are analyzed, and the non-linear dynamic response characteristics of rotor-ball bearing-stator system under unbalance and looseness coupling faults are obtained.