• CN: 11-2187/TH
  • ISSN: 0577-6686

Journal of Mechanical Engineering ›› 2018, Vol. 54 ›› Issue (18): 97-104.doi: 10.3901/JME.2018.18.097

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Nonlinear Vibration Analysis of Locomotive Rotor System

YANG Liu1,2, YANG Shaopu2,3, WANG Jiujian3, LIU Yongqiang3   

  1. 1. School of Mechanical, Eletronic and Control Engineering, Beijing Jiaotong University, Beijing 100044;
    2. Hebei Provincial Key Laboratory of Traffic Safety and Control, Shijiazhuang 050043;
    3. School of Mechanical Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043
  • Received:2017-09-28 Revised:2018-07-20 Online:2018-09-20 Published:2018-09-20

Abstract: With the continuous improvement of locomotive speed, it has put out higher requirement of the stability and sperling of the locomotive system. In order to research the dynamical responses of rotor system with the locomotive wheel-set, the nonlinear continuous mass shaft dynamical model is established including the elastic-support and gear time-varying stiffness based on Hamilton principle of minimum potential energy. With the non-dimension of the dynamics differential equation, the vibration model functions and natural frequency are calculated. Then the asymptotic solution of the nonlinear rotor system is deduced by using multi-scale method, and the amplitude-frequency response of steady state main resonance with the effects of supporting stiffness, damping, gear time-varying stiffness are analyzed. The simulation results reveal that the location of gear directly affects the modal amplitudes under the complex boundary conditions. The varying of wheel-rail excitation has more influence on low frequency amplitude, but less influence on high frequency amplitude of the system. When the wheel-rail excitation arriving at the critical value, saturated resonance of the system happen, and then the varing of wheel-rail has no effect on the amplitude of system response. With the increase of gear shock stiffness, the vibration displacement of rotor system increases obviously. The research results lay a foundation for dynamical characteristics and fault diagnosis of the the nonlinear continuous mass shaft system of the locomotive wheel-set.

Key words: nonlinear systems, rotor, solution, time-varying stiffness

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