针对非线性转子 轴承系统的具体特点 ,引入扩展方程方法 ,对采用长轴承模型的刚性Jeffcott转子系统增加约束方程 ,消除系统分叉的奇异性 ,使系统的Hopf分叉点在定解条件下得以准确求解。同时 ,为验证该方法 ,在相同条件下对该系统进行数值仿真研究。结果表明 ,扩展方程方法可以快速准确地确定转子 轴承系统的Hopf分叉点 ,分析结果为定性控制转子的稳定运行状态提供了理论依据。 According to the characteristics of the nonlinear rotor bearing system, an extended equation method is introduced to add a constraint equation to a rigid Jeffcott rotor system with a long bearing model to eliminate the singularity of the system bifurcation. The Hopf bifurcation point Accurate solution. At the same time, in order to verify the method, the numerical simulation of the system is carried out under the same conditions. The results show that the extended equation method can quickly and accurately determine the Hopf bifurcation point of the rotor bearing system. The analysis results provide a theoretical basis for the qualitative control of the steady rotor operation.