中文摘要：

建立了含有裂纹-碰摩耦合故障转子轴承系统的动力学模型,利用求解非线性非自治系统周期解的延拓打靶法和Floquet理论,研究了系统周期运动的稳定性.发现碰摩转子-轴承系统在不同的转速下会发生鞍结分岔、倍周期分岔和Hopf分岔等现象,裂纹-碰摩耦合故障转子-轴承系统具有不同于单一故障的独特的动力学特性.研究结果为转子-轴承系统故障诊断和安全运行提供了一定的参考.

英文摘要：

The paper set up a dynamic model for the rotor-bearing system with coupling faults of crack and rub-impact. Through using the continuation-shooting algorithm for periodic solution of nonlinear and nonautonomous system, it studied the stability of the system＇s periodic motion and the Floquet theory. The saddle-node bifurcation, period-doubling bifurcation and the Hopf bifurcation take place when the system turns at different speeds. Peculiar dynamic characteristics of the rotor-bearing system with coupling faults of crack and rub-impact exist, making it different from the system with only a single fault . The results have some reference value for the fault diagnosis of the rotor-bearing system with coupling faults of crack and rub-impact.