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

Toshihiko Sugiura; Masayuki Kondo

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

Department of Mechanical Engineering

Research output: Contribution to journal › Conference article › peer-review

Abstract

This research deals with nonlinear dynamics of a permanent magnet freely levitated above a high-T_c 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 language	English
Pages (from-to)	111-116
Number of pages	6
Journal	American Society of Mechanical Engineers, Design Engineering Division (Publication) DE
Volume	111
Publication status	Published - 2001 Dec 1
Event	2001 ASME International Mechanical Engineering Congress and Exposition - New York, NY, United States Duration: 2001 Nov 11 → 2001 Nov 16

ASJC Scopus subject areas

Control and Systems Engineering

Cite this

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title = "Combination resonance of a magnet over a high-Tc superconductor excited vertically",

abstract = "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.",

author = "Toshihiko Sugiura and Masayuki Kondo",

year = "2001",

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language = "English",

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pages = "111--116",

journal = "American Society of Mechanical Engineers, Design Engineering Division (Publication) DE",

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T1 - Combination resonance of a magnet over a high-Tc superconductor excited vertically

AU - Sugiura, Toshihiko

AU - Kondo, Masayuki

PY - 2001/12/1

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N2 - 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.

AB - 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.

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M3 - Conference article

AN - SCOPUS:0242410393

SN - 1521-4613

VL - 111

SP - 111

EP - 116

JO - American Society of Mechanical Engineers, Design Engineering Division (Publication) DE

JF - American Society of Mechanical Engineers, Design Engineering Division (Publication) DE

T2 - 2001 ASME International Mechanical Engineering Congress and Exposition

Y2 - 11 November 2001 through 16 November 2001

ER -

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

Abstract

ASJC Scopus subject areas

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