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中文摘要：
建立了带有裂纹故障的双跨弹性转子系统的动力学模型，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及失稳规律。系统以倍周期分岔形式失稳，且在不同转速下，系统会出现倍周期分岔和Hopf分岔等不同的分岔形式。在亚临界转速区系统响应中出现了1／3倍频、1／2倍频、2／3倍频、1倍频、2倍频等频率成分，但是在超临界转速区，2倍频及以上频率的峰值明显减小。
英文摘要：
A dynamic model was set up for a two-span and rotor-bearing system with crack fault. Using the continuation-shooting algorithm for periodic solution of nonlinear non-autonomous system, the stability of the system periodic motion was studied by the Floquet theory. The periodical, quasi-periodical and chaos motions were found in the system responses. The unstable form of the rotor system with crack fault is period-doubling bifurcation. There are unstable forms of period-doubling bifurcation and Hopf bifurcation in different rotate speed. There are many harmonic elements of 1/3, 1/2, 2/3, 1, 2 and so on within the sub-critical speed range. But the 2-harmonic element decreases within the super-critical speed range. The results from this work provide a fundamental basis for the failure diagnosis of the rotor-bearing system.
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Synchronization of two non-identical coupled exciters in a non-resonant vibrating system of linear m
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