Jeffcott转子-轴承系统的非线性动力学特性分析

为了深入地研究转子-轴承系统的分岔规律，揭示转子系统丰富的非线性动力学行为，采用短轴承非稳态非线性油膜力的一般数学模型获得圆柱轴承的非线性油膜力表达式。在一定参数条件下，采用非线性动力学理论和方法，对刚性Jeffcott转子系统的动力学特性进行了分析。通过计算得到了系统的分叉图、时间历程、轴心轨迹、相图及Poincare映射图。计算结果表明-在特定的参数域内系统存在丰富的非线性动力学行为。该方法收敛速度快、精度高，为定性控制转子-轴承系统的稳定运行状态提供了理论依据。

Characteristic Analysis of Nonlinear Dynamic for Jeffcott Rotor Bearing System

To study thoroughly bifurcation rule of rotor-bearlng system,investlgate nonlinear dynamic behavior of system. A nonlinear oil film forces mathematical expression of cylindrical bearing were obtained from the unsteady oil film force base on the short bearing theory, The dynamic characteristic were analysed in rang of definite parameters used nonlinear dynamic theory and method, The diagrams of blfurcation,time course,journal orbit,phase and Poincare map diagrams were worked out. The calculating results show that there exist abundant nonlinear dynamic behaviors with typical system parameters, The method have high calculating precision and quick calculating speed. This lays the theoretical foundation for qualitatively controling the stable operation states of rotor-bearing system.