基于生成微分方程的行星齿轮箱故障振动信号解调分析  

Signal demodulation via the generating differential equation method for planetary gearbox fault diagnosis

作　　者：李康强 冯志鹏[1] 

机构地区：[1]北京科技大学机械工程学院,北京100083

出　　处：《振动与冲击》2017年第8期9-15,共7页Journal of Vibration and Shock

基　　金：国家自然科学基金资助项目(11272047;51475038);教育部新世纪优秀人才支持计划项目(NCET-12-0775)

摘　　要：行星齿轮箱振动信号具有明显的调制特点,幅值解调和频率解调分析能够有效提取其中的故障信息。生成微分方程(GDE)方法可以估计调制信号的幅值包络和瞬时频率,实现解调分析,但该方法需要信号满足单分量要求。实际行星齿轮箱振动信号通常由复杂多分量成分组成,为实现信号的幅值解调和频率解调分析,应用经验模式分解(EMD)将信号分解为单分量本质模式函数,基于生成微分方程计算瞬时频率和幅值包络,根据瞬时频率的波动特点选择本质模式函数作为敏感分量,由敏感分量的包络谱和瞬时频率的Fourier频谱识别故障特征频率。通过行星齿轮箱故障模拟实验数据分析验证了解调分析方法的效果。The vibration signal of a planetary gearbox has clear characteristics of modulation and analysis of frequency demodulation and amplitude demodulation plays a vital role in the fault diagnosis. Though the generating differential equation (GDE) method can estimate the amplitude envelope and the instantaneous frequency of the modulation signal, it only suits to single component composition. Actually, vibration signal of a planetary gearbox is composed of complex component composition. In order to analyze amplitude envelope and instantaneous frequency of a modulation signal, in this paper, we decomposed a modulation signal into the single component intrinsic mode function (IMF) by the empirical mode decomposition (EMD). According to the fluctuation characteristics of instantaneous frequency which result from the generating differential equation, the IMF as the sensitive component was chosen. The characteristic frequency of localized fault was identified with Fourier frequency spectrum of amplitude envelope and instantaneous frequency. Its effectiveness in extracting the characteristic frequency of localized fault was validated by the demodulation analysis of experiments of the planetary gearbox. © 2017, Editorial Office of Journal of Vibration and Shock. All right reserved.

关 键 词：行星齿轮箱 生成微分方程 幅值包络 瞬时频率 

分 类 号：TH165.3[机械工程—机械制造及自动化] TH132.425