建立了考虑轴承和隔振垫弹性的非对称支承转子实验台系统的非线性动力学碰摩模型,应用数值分析的方法对其进行研究.以转速为分叉参数,结合Poincaré截面和自相关函数图等,分析隔振垫刚度对系统分叉与混沌动力学行为的影响.分析结果表明,隔振垫刚度对系统动力学行为有较大影响,系统通向混沌的道路主要是阵发性分叉和倍周期分叉.实验分析所得到的系统运动性质与数值模拟结果一致.
Considering the elasticity of bearing and vibration isolating pad, this paper sets up a nonlinear rubbing model for asymmetric support rotor experimental table systems. Based on speed parameters for the bifurcation, by using the numerical integration method, the system response is obtained, and the effects of the vibration isolating pad stiffness on the system bifurcation and chaos are analyzed, through Poincaré map and auto-correlation function method. The results of system responses show that the effects are significant and the routes to chaos are mainly intermittence chaos and period doubling bifurcation. The simulation results agree well with the experimental results.