Jeffcott刚性支承转子系统的稳定性与动刚度分析

Research on stability and dynamic stiffness of Jeffcott rotor system with rigid support

高速旋转产生的转轴离心随动载荷效应将对转子系统的稳定性和动刚度产生显著影响。基于同步转动坐标系描述转子系统的相对运动,采用Rayleigh-Ritz方法建立了系统量纲归一化动力学模型,系统分析了Jeffcott转子系统正进动平衡解的稳定性,并研究了刚性支承单圆盘偏心转子系统正进动平衡解的稳定性与动刚度,包括偏心及不同激励频率对系统稳定性和动刚度的影响规律。获得了临界转速与系统参数的关系以及转子动刚度/共振频率随运转速度的变化关系。分析表明:刚性支承单圆盘偏心转子系统的刚度将随着系统运行转速变化,且在超临界运行时具有更高的动刚度和抗扰动能力,进一步厘清了对Jeffcott转子系统动力学行为的一些认识。

Centrifugal and following load effect induced by rotational motion of the rotor shaft at high speed has significant influence on the stability and dynamic stiffness of the rotor system.The relative motion of the rotor system is investigated based on the synchronism rotational coordinate,and Rayleigh-Ritz method is applied to establish the dimensionless dynamic model of the system.The stability and dynamic stiffness of a single eccentric disk rigid supported rotor system forward precession equilibrium solution are studied,including the law of influence by the eccentricity and the disturbance of different frequencies on the stability and dynamic stiffness.Results show that the stiffness of the single eccentric disk rigid supported rotor system varies with the operating speed of the system,and the dynamic stiffness and the ability of disturbance rejection becomes higher when the system operates on the supercritical speed,the work helps to improve the understanding on the dynamic behavior of Jeffcott-rotor system better.