以转子动力学和非线性动力学理论为基础 ,针对非线性转子 -轴承系统的具体特点 ,用数值积分和庞加莱映射方法对采用短轴承模型的刚性Jeffcott转子轴承系统在较宽参数范围内进行稳定性研究。计算结果表明 ,系统存在混沌运动。用数值方法得到系统在某些参数域中的分叉图、响应曲线、频谱图、相图、轴心轨迹、及庞加莱映射图 ,直观显示了系统在某些参数域中的运行状态 ;同时 ,由轴承几何尺寸对系统稳定性的影响进行了分析 ,数值分析结果为该类转子 -轴承系统的设计和安全运行提供理论参考 Based on the theory of rotor dynamics and nonlinear dynamics, aiming at the characteristics of nonlinear rotor-bearing system, the rigid Jeffcott rotor bearing system with short bearing model is simulated by numerical integration and Poincaré method in a wide range of parameters Conduct a stability study. The calculation results show that there is chaos in the system. The bifurcation diagram, response curve, spectrogram, phase diagram, axis trajectory, and Poincaré map of the system are obtained numerically. The visualization of the operating status of the system in some parameters is given. At the same time, the influence of bearing geometry on the stability of the system is analyzed. The numerical analysis provides a theoretical reference for the design and safe operation of such rotor-bearing system