A new nonlinear rotor model supported by the rolling bearing is established under the consideration of the bearing with waviness fault, the unbalanced excitation, the nonlinear Hertz contact force, the varying compliance vibration, and, especially, the physical nonlinear stiffness of the shaft material. The expression with cubic nonlinear terms is adopted to characterize the physical nonlinear stiffness of the shaft material, and the sinusoidal wave is applied to describe the shape characteristics of the waviness fault. The dynamic equations of motion for the new model are developed, and the calculation example of the rotor system supported by the bearing JIS6306 is solved by the variable step-size Runge–Kutta methods to study the effect of the waviness, the clearance, the mass eccentricity on the dynamic behavior. The research results show that growth of the amplitude for the waviness changes the energy distribution of the vibration process; the enlargement of bearing clearance will reduce the stability of the system; the increase in the number of the waviness will make the order of the frequency components changed; for the nonlinear stiffness bearing-rotor system with waviness fault, the augment of mass eccentricity will enhance the impact of the nonlinear stiffness on the system.

考虑轴承的波纹故障、不平衡激励、非线性赫兹接触力、变化的柔顺振动，特别是轴材料的物理非线性刚度，建立了由滚动轴承支撑的新的非线性转子模型。采用三次非线性项表达式来表征轴材料的物理非线性刚度，并采用正弦波来描述波纹断层的形状特征。建立了新模型的动态运动方程，并通过变步长龙格-库塔法求解了轴承支撑的转子系统的计算实例JIS6306，以研究波纹度、间隙、质量的影响动态行为的偏心率。研究结果表明，波纹幅值的增长改变了振动过程的能量分布；轴承游隙增大会降低系统的稳定性；波纹度数量的增加会使频率分量的顺序发生变化；对于具有波纹故障的非线性刚度轴承-转子系统，质量偏心率的增大会增强非线性刚度对系统的影响。