转子-轴承系统不平衡响应的非线性动力学特性分析

利用修正的短轴承理论模型对转子－;轴承系统在各种转速和不平衡量的情况下进行了理论与数值分析,结果表明：在某些条件下,转轴系统有可能产生倍周期分岔,拟周期分岔并出现混沌振动,倍周期分岔和拟周期分岔会使转轴产生交变应力,从而对转轴的运行不利;同时,倍周期分岔和拟周期分岔都是通向混沌的道路之一,产生混沌振动时转子的运动是无序,不可预测和不稳定的,因而对转子的运行极为不利。

Nonlinear Dynamic Behavior Analysis of Unbalance Response of Rotor-Bearings

Dynamic behavior of an actual bearing model was analyzed with the modified short bearing approach method for various kinds of rotor speeds with various kinds of unbalance. The results show that the double period bifurcation, quasi period motion and chaotic motion can be found under some condition. When the period bifurcation or quasi period motion occurs, cyclic stress may be found in rotors. Also, the double period bifurcation and quasi period motion are routes to the chaotic motion. The chaotic motion of the rotor is characterized by orbits that alternate between small and large ones in an unpredictable and disordered manner.