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中文摘要：
以有限元理论为基础,建立考虑诸如非线性油膜力、陀螺效应等因素的碰摩故障转子—轴承系统多自由度模型,应用与Newmark法结合的打靶法分析碰摩故障多自由度转子—轴承系统的周期运动稳定性。研究系统随系统偏心距、碰摩间隙、碰摩摩擦因数、碰摩刚度等影响因素的失稳分岔规律。研究发现,小偏心距下系统发生hopf分岔失稳,而大偏心距下系统发生倍周期分岔失稳。减小系统的碰摩间隙、增大系统的摩擦因数或增大系统的碰摩刚度,将影响油膜涡动的形成,使系统失稳转速升高;对于轻度碰摩情况,系统分岔形式和失稳转速可能不发生改变,但对于重度碰摩情况,分岔形式和失稳转速将发生很大的变化。研究为相关转子—轴承系统故障诊断、振动控制及稳定性设计提供理论参考。
英文摘要：
Based on a nonlinear continuum model of the flexible rotor-bearing system with rub-impact,considering some important influencing factors,the bifurcation and stability of the system periodic motion are studied by using continuation-shooting algorithm combined with the Newmark method. The change-law of the instability speed is centered on with the changes of the eccentricity of the rotor,clearance between rotor and stator,friction coefficient and the rub-impact stiffness. The results show that under small eccentricity the system loses its stability through Hopf-bifurcation,while under large eccentricity the system loses its stability through period-doubling bifurcation. The stability can be improved by reducing the clearance between rotor and stator,increasing the friction coefficient,increasing the rub-impact stiffness,because of the destruction of the formation condition of oil whirl. In addition,for the slight rub-impact,the system maintains its motion characteristics,on the contrary,the instability method and the instability speed changes markedly. The conclusions provide a theoretical reference for fault diagnoses,vibration control and stability design of the rotor-bearing system.
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Synchronization of two non-identical coupled exciters in a non-resonant vibrating system of linear m
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