Modeling in Nonlinear Vibrations of a High-Tc Superconducting Levitation System.

NAGAYA Kosuke, SHUTO Shunsuke

doi:10.1299/kikaic.62.9

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Other Title

高温超電導浮上系の非線形振動解析のモデリング
コウオンチョウデンドウフジョウケイノヒセンケイシンドウカイセキノ

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Abstract

Three dimensional analytical results for the levitation force of a vibrating high-Tc superconducting levitation system were presented. When the levitated superconductor vibrates, the levitation force shows nonlinear relationships with the air gap, amplitude and vibration frequency, so that the convensional models which do not consider dynamic effects cannot be applied. In the model proposed by(Uesaka et al.), dynamic effects are considered, but the critical current is constant. We propose an improved Kim-model which is applicable to vibration problems of conductors. Numerical results for the levitation force were obtained and compared with previously published experimental data. A modeling method for the superconducting levitation system was presented, and the nonlinear spring constants obtained in an analysis which included the effects of air gap, amplitude and frequencies were given. Numerical calculations were carried out for nonlinear vibrations of the system based on the modeling results.

Journal

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series C 62 (593), 9-15, 1996

The Japan Society of Mechanical Engineers

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