润滑油动力黏度对转子系统动力学行为的影响

根据转子动力学理论,建立了转子-轴承系统的力学模型及非线性动力学方程。将Newmark法、预估-校正机理和Newton-Raphson法相结合,得到了一种有效地求解动力学系统不平衡响应的方法,并以柔性转子轴承处润滑油的动力黏度为控制参数,求解了转子系统的不平衡响应。运用Floquet分岔理论和Poincaré映射分析了转子不平衡周期响应的稳定性,数值结果揭示了系统具有周期运动、二周期运动、四周期运动等非线性现象。

The Impact of Lubricant Dynamic Viscosity on Dynamics Behaviors of Rotor System

The dynamic model and nonlinear dynamic equation of rotor-bearing system are established based on rotor dynamics. Combining the Newmark method, the predictor-corrector mechanism and Newton-Raphson method, a solution to the unbalanced response of dynamics system are obtained. With the lubricant dynamic viscosity of flexible rotor bearing as the control parameter, nonlinear dynamic responses of rotor system are determined. The stability of the rotor unbalance response cycle is analyzed on the basis of Floquet bifurcation theory and Poincaré map. Numerical results indicate that the system has nonlinear phenomena of periodic motion, 2- periodic motion, 4- periodic motion etc.