非线性不平衡轴承转子系统全局特性及其稳定性准则的研究

使用Poincare型胞映射方法对非线性不平衡轴承转子系统的全局特性及其稳定性规律进行了分析，同时求得了系统存在的周期解及其在各不同Poincare截面上的吸引域，并通过这些吸引域的分析，揭示出系统受扰运动的衰减规律将随扰动作用时系统所处极限环上位置的不同而不同，且具有和系统此时周期运动同周期的变化规律。从而得出广泛适用于线性系统的对数衰减率准则难以直接推广应用于非线性不平衡轴承转子系统的结论，为建立适用于不平衡轴承转子系统的非线性稳定性准则提供了参考。

RESEARCH OF GLOBAL CHARACTERISTIC AND STABILITY RULE OF NONLINEAR UNBALANCED BEARING ROTOR SYSTEMS

Using Poincare like cell mapping method, the global characteristic and stability rule of nonlinear unbalanced bearing rotor systems are analyzed, the periodic solutions of this system and their domains of attraction in difference Poincare sections are given at the same time, the analysis for these domains of attraction shows the decrement law of perturbation for periodic solution will be different while the perturbation appears at the different position of limit cycle, and will change with the periodic movement of system by the same period. So the conclusion that the logarithmic decrement rule fitting for linear systems widely cannot be used in nonlinear unbalanced bearing rotor systems directly, therefore some reference are given to establish the new stability rule for nonlinear unbalanced bearing rotor system.