齿轮早期故障的间歇混沌诊断方法

Intermittent Chaos Diagnosis Approach for Gear Early Stage Faults

研究了小信号摄动的Ｈｏｌｍｅｓ型Ｄｕｆｆｉｎｇ振子的混饨及间歇混沌运动．发现策动力与摄动信号间的微小频差是振子产生间歇混饨的原因．得出振子相变对小信号敏感以及对频差较大的周期干扰信号和噪声具有免疫力的结论．通过识别振子的间歇混沌运动可对齿轮单齿缺陷故障进行诊断．

The chaos and intermittent chaos motions of theforced Duffing oscillator disturbed by small signal isresearched. It is founded that the small frequency differencenear the critical point of the non-equilibrium phase change isthe reason of the intermittent chaos. It is concluded that thephase transform is sensitive to the small signal near the criticalpoint. and immune against the larger frequency differenceperiod interference signals and noise. The single-tooth fault ofgear can be diagnosed through distinguishing the intermittentchaos of the pair of oscillators.