Combination resonance of a magnet over a high-Tc superconductor excited vertically

Toshihiko Sugiura, Masayuki Kondo

Research output: Contribution to journalConference articlepeer-review


This research deals with nonlinear dynamics of a permanent magnet freely levitated above a high-Tc superconductor(HTSC) excited in the vertical direction. Magnetic force and torque can be evaluated analytically by the advanced mirror image method as nonlinear functions of both displacement and roll angle of the magnet. Equations of 3 d.o.f. motion show that the magnet has two oscillation modes due to linear coupling of the horizontal and roll motions. The both modes can be excited by nonlinear coupling with vertical motion when the superconductor is exited vertically in the neighborhood of the sum of the natural frequency of each mode. Frequency response of this combination resonance was numerically simulated. This resonance was also observed in experiments.

Original languageEnglish
Pages (from-to)111-116
Number of pages6
JournalAmerican Society of Mechanical Engineers, Design Engineering Division (Publication) DE
Publication statusPublished - 2001
Event2001 ASME International Mechanical Engineering Congress and Exposition - New York, NY, United States
Duration: 2001 Nov 112001 Nov 16

ASJC Scopus subject areas

  • Control and Systems Engineering


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