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研究了Holm es型Duffing 振子的混沌及间歇混沌运动,发现参考信号与摄动信号间的微小角频率差是振子产生间歇混沌的原因。得出振子相变对与参考信号具有微小角频率差的小信号敏感,而对随机噪声和与参考信号角频率差较大的周期干扰信号具有免疫力的结论。通过辨别振子对的间歇混沌运动可对齿轮偏心及单齿缺陷故障进行诊断与识别。
The chaos and intermittent chaos of the Holm es-typed Duffing oscillator are studied. It is found that the tiny angular frequency difference between the reference signal and the perturbation signal is the cause of intermittent chaos. It is concluded that the oscillator phase transition is sensitive to the small signal with small angular frequency difference from the reference signal and immune to the periodic interference signal with large difference between the random noise and the reference signal. By identifying the intermittent chaos of oscillator pairs, the gear eccentricity and single-tooth defects can be diagnosed and identified.