中文摘要：

行星轮的通过效应或行星架和太阳轮的旋转对啮合振动产生额外的调幅作用,导致横向振动信号的频谱结构非常复杂。扭转振动信号不受这些额外调幅效应的影响,它们的频谱结构更加简单。因此,扭转振动信号分析为行星齿轮箱故障诊断提供了一种有效方法。建立了行星齿轮箱扭转振动信号模型,推导了Fourier频谱、幅值解调谱和频率解调谱的解析表达式,总结了上述频谱的结构特点。应用故障实验数据验证了上述理论分析结果。

英文摘要：

Planet passing effect or the rotation of sun gear and planet carrier produces extra amplitude modulation to gear meshing vibration, and thereby results in complex spectral structure of transverse vibration signals of planetary gearbox. Torsional vibration signals are theoretically free from extra amplitude modulation effects, and therefore their spectral structure is simpler than that of transverse vibration signals. Thus, it is a potentially effective approach to diagnose planetary gearbox faults via torsional vibration signal analysis. Explicit equations to model torsional vibration signals were given, and the Fourier spectrum and the demodulated spectra of amplitude envelope and instantaneous frequency were deduced in closed form. The torsional vibration signal characteristics of Fourier, envelope and instantaneous frequency spectra were summarized. The theoretical derivations were validated experimentally.