带碰摩耦合故障的转子-滚动轴承-机匣耦合动力学模型

Rotor-ball bearing-stator coupling dynamic model including rubbing coupling faults

建立了含转子不平衡-松动-碰摩耦合故障的转子-滚动轴承-机匣耦合动力学模型。在模型中,充分考虑了转子系统的不平衡、基础松动及转静碰摩故障的耦合;对滚动轴承模型,充分考虑了轴承间隙、轴承滚珠与滚道的非线性赫兹接触力以及由轴承支撑刚度变化而产生的VC(varying compliance)振动。运用数值积分方法获取了系统响应,并利用振幅-转速曲线图、分叉图、相平面图、频谱图、Poincare截面图和轴心轨迹图研究了系统的分叉与混沌运动,分析了旋转速度、碰摩刚度、转子偏心量、轴承座质量、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-碰摩故障耦合下的转子-滚动轴承-机匣耦合系统动力响应规律。

In this paper, a new rotor-ball bearing-stator coupling model is established. In the model, the rotor mass unbalance, looseness of bearing house and rubbing faults are included, and the nonlinear factors of ball bearing are modeled such as the clearance of bearing, nonlinear Hertzian contract force between balls and races, and the varying compliance vibration because of periodical variety of contact position between balls and races. The numerical integral is employed to obtain system responses, and the vibration amplitude-rotating speed curve, bifurcation plot, phase plane plot, frequency spectrum and Poincare map are used to carry out the analysis of bifurcation and chaos motion, and the effects of rotating speed, rubbing stiffness, bearing house mass, rotor eccentricity, bearing house-stator stiffness and stator-foundation stiffness on dynamic responses are analyzed, and the nonlinear dynamic response characteristics of rotor-ball bearing-stator coupling system under unbalance-looseness-rubbing coupling faults are obtained.