Dynamic analysis is applied to study the response characteristics of the encoder signal of planetary gears with crack damage and to deal with the problems that the influencing mechanism of gear crack damage on the encoder signal of planetary gear is still unknown and the health monitoring of planetary gear box based on the encoder signal lacks theoretical basis. Firstly
the energy method is used to derive a time-varying meshing stiffness algorithm when the gear cracks
and a pure torsion dynamics model of the planetary gear system is constructed. Then the meshing stiffness of the cracked gear is substituted into the constructed model
and solving the model obtains the encoder response signal under the influence of the planetary wheel crack. The torsional vibration characteristics contained in the encoder signal are analy-ed. Finally
the encoder response signals of planetary gear under different crack damages are studied based on the model. The results show that the torsional vibratio
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LEI Y, LIN J, HE Z J, et al. Condition monitoring and fault diagnosis of planetary gearboxes: a review [J]. Measurement, 2014, 48: 292-305.
SUN Zhimin, JI Linhong, SHEN Yunwen. Nonlinear dynamics of 2K-H planetary gear transmission [J]. Journal of Tsinghua University, 2003, 43(5): 636-639.
KIM W, LEE J Y, CHUNG J. Dynamic analysis for a planetary gear with time-varying pressure angles and contact ratios [J]. Journal of Sound and Vibration, 2012, 331(4): 883-901.
LIU L, LIANG X, ZUO M J. Vibration signal modeling of a planetary gear set with transmission path effect analysis [J]. Measurement, 2016, 85: 20-31.
SHAO Y, CHEN Z. Dynamic features of a planetary gear system with tooth crack under different sizes and inclination angles [J]. Journal of Vibration and Acoustics, 2013, 135: 031004.
LEI Yaguo, LUO Xi, LIU Zongyao, et al. A new dynamic model of planetary gear sets and research on fault response characteristics [J]. Chinese Journal of Mechanical Engineering, 2016, 52(13): 112-122.
YANG W, JIANG D, HAN T. Effects of tooth breakage size and rotational speed on the vibration response of a planetary gearbox [EB/OL].(2017-07-01)[2019-05-12]. https:∥doi.org/10.3390/app7070678.
ZHENG M X, LI R H. Dynamic analysis of planetary gears with gear crack of semi-direct drive wind turbine [C]∥2017 International Conference on Applied System Innovation. Piscataway, NJ, USA: IEEE, 2017: 221-223
WANG Xuan, WANG Xiyang. Fault diagnosis of planetary gearbox based on torsional vibration signal [J]. Failure Analysis and Prevention, 2017, 4(12): 216-221.
LI B, ZHANG X. A new strategy of instantaneous angular speed extraction and its application to multistage gearbox fault diagnosis [J]. Journal of Sound and Vibration, 2017, 396: 340-355.
XUE S, HOWARD I. Torsional vibration signal analysis as a diagnostic tool for planetary gear fault detection [J]. Mechanical Systems and Signal Processing, 2018, 100: 706-728.
LIANG X, ZHANG H, LIU L, et al. The influence of tooth pitting on the mesh stiffness of a pair of external spur gears [J]. Mechanism and Machine Theory, 2016, 106: 1-15.
WAN Guozhi, ZI Yanyang, CAO Hongrui, et al. Time-varying mesh stiffness algorithm correction and tooth crack dynamic modeling [J]. Chinese Journal of Mechanical Engineering, 2013, 49(11): 153-160.
YANG D, SUN Z S. A rotary model for spur gear dynamics [J]. Journal of Mechanisms Transmissions and Automation in Design, 1985, 107(4): 529-535.
CHEN Z, ZHAI W, SHAO Y, et al. Analytical model for mesh stiffness calculation of spur gear pair with non-uniformly distributed tooth root crack [J]. Engineering Failure Analysis, 2016, 66: 502-514.
SAINSOT P, VELEX P, DUVERGER O. Contribution of gear body to tooth deflections: a new bidimensional analytical formula [J]. Journal of Mechanical Design, 2004, 126: 748-752.
LIANG X, ZUO M J, FENG Z. Dynamic modeling of gearbox faults: a review [J]. Mechanical Systems and Signal Processing. 2018, 98: 852-876.
PARKER R G, LIN J. Mesh phasing relationships in planetary and epicyclic gears [J]. Journal of Mechanical Design, 2004, 126(2): 365-370.
ZHAO M, LIN J, LEI Y, et al. Flexible time domain averaging technique [J]. Chinese Journal of Mechanical Engineering, 2013, 5(26): 1022-1030.