Abstract
A new resultant vibration acceleration model is proposed to reveal its signal characteristics more accurately in the healthy and faulty state. First, an analytical lateral-torsional coupled dynamic model is developed with consideration of time-varying mesh stiffness and damping, static transmission error, and gear backlash. Then, the effect of gear backlash and damping on the system is analyzed, and a numerical velocity signal in the healthy and faulty state is carried out. Considering the effects of transmission paths, the resultant acceleration signal along the vertical direction is constructed as the weighted vibration summation. This signal includes a vertical component of the vibration along the meshing lines of both sun-planet and ring-planet pairs. Moreover, it also contains the vertical component of the planet gears, sun gear, and planet carrier acceleration relative to their own supporting bearings. Finally, the simulation results from the resultant signal model are experimentally validated and analyzed in both time and frequency domains.
Highlights
Planetary gear train has the compact structure and desirable transmission efficiency. erefore, it is widely used in mechanical transmission systems
Compared with fixed-shaft gear train, planetary gears simultaneously mesh with the sun gear and the ring gear, which leads to the relatively complex load sharing behavior [1–4] and spectral structure of vibration [5–8]
The present study aims to construct a more comprehensive resultant vibration model of a planetary gear train based on its dynamic equations, where dynamic equations contain multiple kinds of nonlinear parameters. e resultant vibration model mainly contains the vibration signals along the meshing lines of both the sun-planet and the ringplanet pairs, and vibration information of the planet gears, sun gear, and planet carrier relative to their supporting bearings, where the modified Hamming function and attenuation coefficients are used to reflect the effect of transmission paths on transducer-perceived signal
Summary
Planetary gear train has the compact structure and desirable transmission efficiency. erefore, it is widely used in mechanical transmission systems. Lei et al [17] proposed that the vibration signal model included vibration signals along the meshing lines as well as sun gear’s vibration signal, where the amplitude modulation function based on rotating frequency of the planet carrier was used to reflect the transmission path effect. The present study aims to construct a more comprehensive resultant vibration model of a planetary gear train based on its dynamic equations, where dynamic equations contain multiple kinds of nonlinear parameters (time-varying mesh stiffness and damping, static transmission error, and gear backlash). E resultant vibration model mainly contains the vibration signals along the meshing lines of both the sun-planet and the ringplanet pairs, and vibration information of the planet gears, sun gear, and planet carrier relative to their supporting bearings, where the modified Hamming function and attenuation coefficients are used to reflect the effect of transmission paths on transducer-perceived signal.
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