Applied Mathematics and Mechanics (English Edition) ›› 2024, Vol. 45 ›› Issue (5): 873-890.doi: https://doi.org/10.1007/s10483-024-3110-6

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Research on modeling and self-excited vibration mechanism in magnetic levitation-collision interface coupling system

Jinghu TANG1, Chaofeng LI1,2,*(), Jin ZHOU3, Zhiwei WU1   

  1. 1 School of Mechanical Engineering & Automation, Northeastern University, Shenyang 110819, China
    2 Key Laboratory of Vibration and Control of Aero-Propulsion Systems of Ministry of Education of China, Northeastern University, Shenyang 110819, China
    3 School of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
  • Received:2023-10-22 Online:2024-05-03 Published:2024-04-26
  • Contact: Chaofeng LI E-mail:chfli@mail.neu.edu.cn
  • Supported by:
    the National Natural Science Foundation of China(12372005);Project supported by the National Natural Science Foundation of China (No. 12372005)

Abstract:

The modeling and self-excited vibration mechanism in the magnetic levitation-collision interface coupling system are investigated. The effects of the control and interface parameters on the system's stability are analyzed. The frequency range of self-excited vibrations is investigated from the energy point of view. The phenomenon of self-excited vibrations is elaborated with the phase trajectory. The corresponding control strategies are briefly analyzed with respect to the vibration mechanism. The results show that when the levitation objects collide with the mechanical interface, the system's vibration frequency becomes larger with the decrease in the collision gap; when the vibration frequency exceeds the critical frequency, the electromagnetic system continues to provide energy to the system, and the collision interface continuously dissipates energy so that the system enters the self-excited vibration state.

Key words: magnetic levitation, coupling system, self-excited vibration, mechanical interface, vibration frequency

2010 MSC Number: 

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