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本文提出一种对非线性不平衡转子轴承系统周期解进行预测的新型算法，它利用系统周期解的稳态及瞬态信息，反解雅可比矩阵，实现对系统周期解的预测追踪，并利用反解得出的雅可比矩阵，求得系统周期解的Ｆｌｏｑｕｅｔ乘子以判别其非线性稳定性。文中以刚性不平衡转子轴承系统为例，实现了周期解的预测追踪及非线性稳定性判别，说明了新算法的有效性。
In this paper, a new algorithm for predicting the periodic solution of a nonlinear unbalanced rotor bearing system is proposed, which uses the steady-state and transient information of the periodic solution of the system and inverts the Jacobian matrix to predict and track the periodic solution of the system. By solving the Jacobian matrix, the Floquet multiplier of the periodic solution of the system is obtained to determine its nonlinear stability. Taking the rigid unbalanced rotor bearing system as an example, the predictive tracking and nonlinear stability of periodic solutions are realized, and the effectiveness of the new algorithm is illustrated.