【摘要】 建立了一类具有非线性刚度的局部碰摩转子系统模型,用数值积分和Poincar映射方法研究了该系统随频率比和阻尼比参数变化的分岔与混沌行为。通过分岔图、Poincar映射图揭示了该系统存在Hopf分岔、周期3倍周期分岔、锁相、阵发性切分岔等非线性动力学行为,研究结果揭示了碰摩转子系统中一些复杂的非线性现象,为转子系统的故障诊断、振动控制、安全运行及早期预测提供了理论参考。更多还原

【Abstract】 The dynamic model of the nonlinear rigidity-rotor system with rubbing fault was set up.The bifurcation and chaotic behaviors of this system with rotor-to-stator rub-impact were investigated by using Poincaré maps and numerical integral method,as ratio of frequency and damping ratio varied.The results discover rich nonlinear dynamical behaviors such as Hopf bifurcation,period-doubling bifurcation of period-3,phase lock and explosive bifurcation etc.,which may provide theory references to fault diagnoses,vibration control,safety operating and enable early prediction of the fault in rotating machinery.更多还原