Internal resonance of an elastic body levitated above high-Tc superconducting bulks

T. Kokuzawa, Toshihiko Sugiura, M. Yoshizawa

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In high-Tc superconducting magnetic levitation systems, levitated bodies can keep stable levitation with no contact and no control and thus their damping is very small. Thanks to these features, their applications to various apparatus are expected. However, on account of their small damping, the nonlinearity of electromagnetic levitation force can give notable effects upon motion of the levitated bodies. Therefore this nonlinearity must be taken into account to accurately analyze the dynamical behavior of the levitated bodies. Structures of such a levitated body can show elastic deformation if the large electromagnetic force acts on it. Therefore, we need to deal with the model as an elastic body. As mentioned above, nonlinear characteristics easily appear in this elastic vibration on account of the small damping. Especially when the ratio of the natural frequencies of the eigenmodes is integer, internal resonance can occur. This nonlinear resonance is derived from nonlinear interactions among the eigenmodes of the elastic levitated body. This kind of internal resonance of an elastic body appearing in high-Tc superconducting levitation systems has not been studied so far. This research especially deals with internal resonance of a beam supported at both its ends by electromagnetic forces acting on permanent magnets. The governing equation with the nonlinear boundary conditions for the dynamics of a levitated beam has been derived. Numerical results show internal resonance of the 1st mode and the 3rd mode. Experimental results are qualitatively in good agreement with numerical ones.

Original languageEnglish
Article number032028
JournalJournal of Physics: Conference Series
Volume234
Issue numberPART 3
DOIs
Publication statusPublished - 2010

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elastic bodies
levitation
damping
nonlinearity
electromagnetism
magnetic suspension
elastic deformation
permanent magnets
integers
resonant frequencies
boundary conditions
vibration
interactions

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Internal resonance of an elastic body levitated above high-Tc superconducting bulks. / Kokuzawa, T.; Sugiura, Toshihiko; Yoshizawa, M.

In: Journal of Physics: Conference Series, Vol. 234, No. PART 3, 032028, 2010.

Research output: Contribution to journalArticle

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