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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长轴承模型的刚性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Hopf分叉及低周期运动。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，直视显示了系统在某些参数域中的运行状态；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 long bearing model is simulated by numerical integration and Poincaré method in a wide range of parameters Within the stability study. The results show that the system has Hopf bifurcation and low-period motions. The bifurcation diagram, response curve, spectrogram, phase diagram, axis trajectory and Poincaré map of the system are obtained numerically, and the operating status of the system in some parameter domains is displayed in the direct view. The numerical analysis provides a theoretical reference for the design and safe operation of this kind of rotor-bearing system.