Nonlinear dynamics of planetary gear wear in multistage gear transmission system

Xin Wang1

1School of Mechanical Engineering, Baoji University of Arts and Sciences, Baoji, 721016, China

Journal of Vibroengineering, Vol. 21, Issue 6, 2019, p. 1738-1750.
Received 24 December 2018; received in revised form 15 March 2019; accepted 25 March 2019; published 30 September 2019

Copyright © 2019 Xin Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Creative Commons License

With the increasing service life of a gear transmission system, the gear teeth become constantly worn, and the gear clearance increases. The increase in the clearance will produce a series of nonlinear changes that change the stability of the system and can even result in loss of stability. In this paper, dimensionless dynamic equations of a multistage gear transmission system that contains a two-stage fixed-axis gear and a one-stage planetary gear were established. Planetary wear fault was simulated by changes in the gear clearance. System bifurcation diagrams with an increase in the clearance were studied. The frequency characteristics of planetary gears under different excitation frequencies and different degrees of wear were studied. The influence of planetary gear wear on the fixed-axis was discovered. The vibration mechanism and a fault diagnostic method in a multistage gear transmission system were obtained.

Graphical Abstract

  • By studying the time-domain, frequency-domain, phase diagram and Poincaré section of each motion state, the transition processes and frequency characteristics of each motion state were analyzed.
  • Frequency characteristics of the planetary gears under different excitation frequencies and different degrees of wear were obtained.
  • The influence of the planetary gear wear on the fixed-axis gear were obtained.

Keywords: planetary gear, nonlinear dynamical, wear, frequency characteristics, fault diagnosis.


This research is supported by Baoji Municipal Science and Technology Bureau (2017JH2-11), China.


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