自然科学版 英文版
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中南大学学报(英文版)

Journal of Central South University

Vol. 24    No. 3    March 2017

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Super-harmonic resonance of gear transmission system under stick-slip vibration in high-speed train
HUANG Guan-hua(黄冠华)1, 2, XU Si-si(许思思)3, ZHANG Wei-hua(张卫华)1, YANG Cai-jin(杨蔡进)1

1. State Key Laboratory of Traction Power (Southwest Jiaotong University), Chengdu 610031, China;
2. Beijing Haidongqing Electrical and Mechanical Equipment Co., Ltd, Beijing 101300, China;
3. CRRC Institute Co., Ltd, Beijing 100070, China

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.

 

Key words: stick-slip vibration; super-harmonic resonance; Hopf bifurcation; gear transmission system; high-speed train

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
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