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Super-harmonic resonance of gear transmission system under stick-slip vibration in high-speed train

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Abstract

This work deals with super-harmonic responses and the stabilities of a gear transmission system of a high-speed train under the stick-slip oscillation of the wheel-set. The dynamic model of the system is developed with consideration on the factors including the time-varying system stiffness, the transmission error, the tooth backlash and the self-excited excitation of the wheel-set. The frequency-response equation of the system at super-harmonic resonance is obtained by the multiple scales method, and the stabilities of the system are analyzed using the perturbation theory. Complex nonlinear behaviors of the system including multi-valued solutions, jump phenomenon, hardening stiffness are found. The effects of the equivalent damping and the loads of the system under the stick-slip oscillation are analyzed. It shows that the change of the load can obviously influence the resonance frequency of the system and have little effect on the steady-state response amplitude of the system. The damping of the system has a negative effect, opposite to the load. The synthetic damping of the system composed of meshing damping and equivalent damping may be less than zero when the wheel-set has a large slippage, and the system loses its stability owing to the Hopf bifurcation. Analytical results are validated by numerical simulations.

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Authors and Affiliations

  1. State Key Laboratory of Traction Power (Southwest Jiaotong University), Chengdu, 610031, China

    Guan-hua Huang  (黄冠华), Wei-hua Zhang  (张卫华) & Cai-jin Yang  (杨蔡进)

  2. Beijing Haidongqing Electrical and Mechanical Equipment Co., Ltd, Beijing, 101300, China

    Guan-hua Huang  (黄冠华)

  3. CRRC Institute Co., Ltd, Beijing, 100070, China

    Si-si Xu  (许思思)

Authors
  1. Guan-hua Huang  (黄冠华)
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  2. Si-si Xu  (许思思)
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  3. Wei-hua Zhang  (张卫华)
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  4. Cai-jin Yang  (杨蔡进)
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Corresponding author

Correspondence to Si-si Xu  (许思思).

Additional information

Foundation item: Project(U1234208) supported by the National Natural Science Foundation of China; Project(2016YFB1200401) supported by the National Key Research and Development Program of China

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Huang, Gh., Xu, Ss., Zhang, Wh. et al. Super-harmonic resonance of gear transmission system under stick-slip vibration in high-speed train. J. Cent. South Univ. 24, 726–735 (2017). https://doi.org/10.1007/s11771-017-3474-0

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  • DOI: https://doi.org/10.1007/s11771-017-3474-0

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