轴承-转子系统Hopf分叉及其后动力学行为研究

采用长轴承解析模型研究滑动轴承支承的平衡单盘柔性转子-轴承系统的自激振动,把结合打靶法的延续算法应用于柔性平衡转子-轴承系统Hopf分叉后周期解的追踪和求解上,基于Floquet理论对周期解的稳定性加以分析.通过持续追踪周期解频率变化并与失稳固有频率进行对比,分析了自激锁相现象,研究了非线性油膜力自激源对系统的作用机理.运用Poincare映射、分叉图、及Lyapnov指数对周期解分叉、混沌及进入和脱离混沌的过程进行了分析.

Hopf Bifurcation and Afterward Dynamic Behavors in Rotor-Bearing System

Self-excited oscillation of one disc flexible rotor-bearing system is investigated by a long bearing model.A continuation algorithm combined with shooting method is presented to evaluate and track the periodic response bifurcated from the Hopf bifurcation of a balanced rotor-bearing system.The stability of periodic solutions induced by the Hopf bifurcation is analyzed.Tracking the frequencies of the periodic solutions and comparing with the frequencies of the unstable mode,the mechanism of the self-excitation of oil film force and the self-excited mode locking are discussed.The bifurcations of periodic solutions,chaos and the route to and out of chaos in a balanced rotor-bearing system are investigated via bifurcation diagrams,Poincare maps and Lyapunov exponents.