• CN: 11-2187/TH
  • ISSN: 0577-6686

Journal of Mechanical Engineering ›› 2025, Vol. 61 ›› Issue (23): 120-133.doi: 10.3901/JME.2025.23.120

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Parameter Feasible Region Analysis of Improved Suspension System for High Temperature Superconducting Flux Pinning Suspension Train

ZHANG Mingliang1,2,3, DUAN Jiaqi1, YANG Xinmeng1, LIU Pengfei4, ZHANG Lianpeng1   

  1. 1. School of Mechanical Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043;
    2. State Key Laboratory of Rail Transit Vehicle System, Southwest Jiaotong University, Chengdu 610031;
    3. Key Laboratory of Opto-technology and Intelligent Control of Ministry of Education, Lanzhou Jiaotong University, Lanzhou 730070;
    4. State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang 050043
  • Received:2024-02-03 Revised:2024-12-19 Published:2026-01-22

Abstract: In order to increase the suspension force and improve the safety, the rail-holding improved suspension frame system for high temperature superconducting flux pinned suspension train is designed. Firstly, an equivalent processing method for high temperature superconductor is proposed based on the frozen mirror model and the hybrid magnetic field characteristics of high temperature superconductor, and the correctness of the method is verified by way of the experimental data. The suspension force data of the improved suspension system are obtained by the equivalent processing method, and the mathematical model of the suspension force empirical formula is established by using the cubic polynomial function. Secondly, based on the mathematical model, the dynamic equation of the system is established and the approximate analytical solution of the system response is solved, and the influence of the system parameters on the vibration response is analyzed. Finally, the Melnikov method is used to derive the chaotic threshold of the system and the influence of system parameters and operating parameters on the chaotic threshold is discussed. The results show that the damping pre mass and the linear stiffness pre mass are within a certain range, which can meet the response index requirements of free vibration, main resonance and non-chaotic motion synchronously. The running speed of the train has a significant influence on free vibration and main resonance, and has little effect on the chaotic threshold of the system. This manuscript provides the theoretical support for designing the suspension frame system of the magnetic suspension train and determining the appropriate operating conditions.

Key words: improved suspension frame, nonlinear vibration, parameter feasible region, chaos

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