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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
Nonlinear oil film force database method is used to obtain the nonlinear oil film force of non-circular sliding bearings. The Runge-Kutta method, Poincaré mapping and spectrogram are used to study the bifurcation and nonlinear dynamics of the rigid Jeffcott rotor-ellipse bearing system over a wide range of parameters Conduct research. The bifurcation diagram, time history, spectrum chart, phase diagram and Poincaré map of the system in some parameters are obtained. The results show that the nonlinear dynamical behaviors such as doubling period bifurcation, Hopf bifurcation, solution jump, K-T periodic solution, almost periodic motion and chaos motion exist in the system. The nonlinear oil film force obtained by the nonlinear oil film force database method can accurately reveal the rich nonlinear dynamic behavior of the rotor-oval bearing system and provide a theoretical basis for studying the nonlinear dynamics of large rotating machinery