Simultaneous suppression of translational and tilt vibrations in a superconducting magnetic levitation system by a gyroscopic damper

Kentaro Fujita, Toshihiko Sugiura

Research output: Contribution to journalArticlepeer-review


This paper investigates the suppression effects of a gyroscopic damper on multi-degree-of-freedom vibrations and nonlinear vibrations of a levitating body supported by magnetic forces from a superconductor, by means of theoretical analysis and numerical calculations. The superconducting levitation system is expected to be applied to power storage and mass transportation because it can levitate a body stably without control. However, due to its low damping, it is prone to large amplitude vibration and nonlinear vibration caused by nonlinearity of magnetic force. Therefore, the simultaneous suppression of multi-degree-of-freedom vibrations caused by the coupled translational and tilt motions of the levitating body and the suppression of nonlinear vibration are important development issues. A gyroscopic damper is considered as a method of passive vibration suppression that takes advantage of the control-free feature of superconducting magnetic levitation systems. This damper, which utilizes the gyroscopic effect, are usually considered to be effective in suppressing tilt vibration. However, if the fixed-point theory used in the design of dynamic vibration absorbers is extended to multi-degree-of-freedom systems and the design parameters of gyroscopic dampers are optimized, not only tilt vibration but also translational vibration may be suppressed simultaneously. In this paper, we first derived the governing equations from the analytical model and conducted a theoretical analysis. As a result, the simultaneous suppression effect of the gyroscopic damper on the vertical and tilt vibrations of the levitating body was theoretically confirmed. Further, a numerical calculation was carried out by considering the nonlinearity of the magnetic force from the superconductor. The suppression effect of the gyroscopic damper on the nonlinear vibration of the levitating body was also confirmed numerically.

Original languageEnglish
JournalIEEE Transactions on Applied Superconductivity
Publication statusAccepted/In press - 2022


  • Amplitude reduction
  • Gyroscopic damper
  • Magnetic levitation
  • Magnetomechanical effects
  • Mathematical models
  • Multi-degree-of-freedom vibration
  • Nonlinear resonance
  • Shock absorbers
  • Superconducting magnetic levitation
  • Superconducting magnets
  • Superconductivity
  • Vibrations

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Electrical and Electronic Engineering


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