转子—非圆轴承系统非线性动力学行为的研究

非线性油膜力数据库方法获得非圆滑动轴承的非线性油膜力,利用Runge-Kutta法、Poincaré映射和频谱图对刚性Jeffcott转子-椭圆轴承系统在较宽参数范围内的分叉和非线性动力学行为进行研究.得到了系统在某些参数域的分叉图、时间历程、频谱图、相图、Poincaré映射图.研究结果表明:在特定参数范围内系统存在倍周期分叉、Hopf分叉、解的跳跃、K-T周期解、概周期运动和混沌运动等非线性动力学行为.非线性油膜力数据库方法获得的非线性油膜力能准确揭示转子-椭圆轴承系统丰富的非线性动力学行为,为研究大型旋转机械的非线性动力学问题提供了理论基础.

Study on Nonlinear Dynamic Behavior of Rotor-Non-Circular Bearing System

The nonlinear dynamic bifurcation behavior of a rigid Jeffcott rotor-non-circular bearing system was investigated in a wide rang of parameters based with the help of Runge-Kutta method,Poincaré map and frequency spectrum.The journal bearing oil film forces were obtained from database.The diagrams of bifurcation,time course,frequency spectrum,phase and Poincaré map diagrams with some typical system parameters were numerically worked out.The results show that there exist abundant nonlinear dynamic behaviors such as double-period bifurcation,Hopf bifurcation,jump phenomenon,K-T periodic solution,quasi-periodic and chaotic motions and so on.The database method can provide the journal bearing oil film forces accurately and effectively for nonlinear dynamic analysis of rotor-non-circular bearing system.