非线性齿轮系统单齿故障动力学特性

针对齿轮系统运行过程中具有非线性动力学特性,借鉴混沌振子检测理论中根据系统相轨变化检测信号的原理,分析了齿轮单齿故障冲击信号出现的成因及其出现故障后非线性动力学特性的变化,建立了基于冲击分析的非线性齿轮系统单齿故障动力学模型。通过分析发现,齿轮系统模型在一定的参数条件下,其动力学特性会进入混沌状态。而在相同参数条件下,出现单齿冲击故障并达到一定程度后,齿轮系统会在故障冲击的激励下进入大周期运动,从而表现出明显异于无故障条件下齿轮系统的动力学特性。仿真结果表明,该方法能有效区别齿轮系统单齿故障状态。

Non-linear Dynamic Characteristics of Gear System with Single-Tooth Fault

Abstract Aiming at the non-linear dynamics characteristic which exits in the gearing transmission while being ignored in the traditional fault diagnosis, cause of detecting signal according to the change of phase space track in the chaotic oscillator detection theory, this paper established a single-tooth fault dynamics model of non-linear gear system based on impact analysis. Through analysis, we find that given determinate parameters the dynamics characteristic will turn into chaos state; in addition, using the same parameters, after single-tooth pulse fault appears and reaches to a certain degree, gear system will turn into periodic phase state which shows different dynamics characteristic from normal gear system obviously. Simulation results show that this method can distinguish the single-tooth fault effectively which offers a new method for fault diagnosis of the rotary machinery.