Parametrically excited motion of a levitated rigid bar over high-Tc superconducting bulks

T. Shimizu, Toshihiko Sugiura, S. Ogawa

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

High-Tc superconducting levitation systems achieve, under no contact support, stable levitation without control. This feature can be applied to flywheels, magnetically levitated trains, and so on. But no contact support has small damping. So these mechanisms can show complicated phenomena of dynamics due to nonlinearity in their magnetic force. For application to large-scale machines, we need to analyze dynamics of a large levitated body supported at multiple points. This research deals with nonlinearly coupled oscillation of a homogeneous and symmetric rigid bar supported at its both ends by equal electromagnetic forces between superconductors and permanent magnets. In our past study, using a rigid bar, we found combination resonance. Combination resonance happens owing to the asymmetry of the system. But, even if support forces are symmetric, parametric resonance can happen. With a simple symmetric model, this research focuses on especially the parametric resonance, and evaluates nonlinear effect of the symmetric support forces by experiment and numerical analysis. Obtained results show that two modes, caused by coupling of horizontal translation and roll motion, can be excited nonlinearly when the superconductor is excited vertically in the neighborhood of twice the natural frequencies of those modes. We confirmed these resonances have nonlinear characteristics of soft-spring, hysteresis and so on.

Original languageEnglish
Pages (from-to)1109-1114
Number of pages6
JournalPhysica C: Superconductivity and its Applications
Volume445-448
Issue number1-2
DOIs
Publication statusPublished - 2006 Oct 1

Fingerprint

levitation
Superconducting materials
flywheels
Flywheels
permanent magnets
Permanent magnets
numerical analysis
Hysteresis
resonant frequencies
Numerical analysis
Natural frequencies
magnets
Damping
damping
hysteresis
nonlinearity
asymmetry
electromagnetism
oscillations
Experiments

Keywords

  • Nonlinear dynamics
  • Parametric resonance
  • Superconducting levitation

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Parametrically excited motion of a levitated rigid bar over high-Tc superconducting bulks. / Shimizu, T.; Sugiura, Toshihiko; Ogawa, S.

In: Physica C: Superconductivity and its Applications, Vol. 445-448, No. 1-2, 01.10.2006, p. 1109-1114.

Research output: Contribution to journalArticle

@article{2cee49a4f94944c6bc102a2d0ed39f08,
title = "Parametrically excited motion of a levitated rigid bar over high-Tc superconducting bulks",
abstract = "High-Tc superconducting levitation systems achieve, under no contact support, stable levitation without control. This feature can be applied to flywheels, magnetically levitated trains, and so on. But no contact support has small damping. So these mechanisms can show complicated phenomena of dynamics due to nonlinearity in their magnetic force. For application to large-scale machines, we need to analyze dynamics of a large levitated body supported at multiple points. This research deals with nonlinearly coupled oscillation of a homogeneous and symmetric rigid bar supported at its both ends by equal electromagnetic forces between superconductors and permanent magnets. In our past study, using a rigid bar, we found combination resonance. Combination resonance happens owing to the asymmetry of the system. But, even if support forces are symmetric, parametric resonance can happen. With a simple symmetric model, this research focuses on especially the parametric resonance, and evaluates nonlinear effect of the symmetric support forces by experiment and numerical analysis. Obtained results show that two modes, caused by coupling of horizontal translation and roll motion, can be excited nonlinearly when the superconductor is excited vertically in the neighborhood of twice the natural frequencies of those modes. We confirmed these resonances have nonlinear characteristics of soft-spring, hysteresis and so on.",
keywords = "Nonlinear dynamics, Parametric resonance, Superconducting levitation",
author = "T. Shimizu and Toshihiko Sugiura and S. Ogawa",
year = "2006",
month = "10",
day = "1",
doi = "10.1016/j.physc.2006.06.028",
language = "English",
volume = "445-448",
pages = "1109--1114",
journal = "Physica C: Superconductivity and its Applications",
issn = "0921-4534",
publisher = "Elsevier",
number = "1-2",

}

TY - JOUR

T1 - Parametrically excited motion of a levitated rigid bar over high-Tc superconducting bulks

AU - Shimizu, T.

AU - Sugiura, Toshihiko

AU - Ogawa, S.

PY - 2006/10/1

Y1 - 2006/10/1

N2 - High-Tc superconducting levitation systems achieve, under no contact support, stable levitation without control. This feature can be applied to flywheels, magnetically levitated trains, and so on. But no contact support has small damping. So these mechanisms can show complicated phenomena of dynamics due to nonlinearity in their magnetic force. For application to large-scale machines, we need to analyze dynamics of a large levitated body supported at multiple points. This research deals with nonlinearly coupled oscillation of a homogeneous and symmetric rigid bar supported at its both ends by equal electromagnetic forces between superconductors and permanent magnets. In our past study, using a rigid bar, we found combination resonance. Combination resonance happens owing to the asymmetry of the system. But, even if support forces are symmetric, parametric resonance can happen. With a simple symmetric model, this research focuses on especially the parametric resonance, and evaluates nonlinear effect of the symmetric support forces by experiment and numerical analysis. Obtained results show that two modes, caused by coupling of horizontal translation and roll motion, can be excited nonlinearly when the superconductor is excited vertically in the neighborhood of twice the natural frequencies of those modes. We confirmed these resonances have nonlinear characteristics of soft-spring, hysteresis and so on.

AB - High-Tc superconducting levitation systems achieve, under no contact support, stable levitation without control. This feature can be applied to flywheels, magnetically levitated trains, and so on. But no contact support has small damping. So these mechanisms can show complicated phenomena of dynamics due to nonlinearity in their magnetic force. For application to large-scale machines, we need to analyze dynamics of a large levitated body supported at multiple points. This research deals with nonlinearly coupled oscillation of a homogeneous and symmetric rigid bar supported at its both ends by equal electromagnetic forces between superconductors and permanent magnets. In our past study, using a rigid bar, we found combination resonance. Combination resonance happens owing to the asymmetry of the system. But, even if support forces are symmetric, parametric resonance can happen. With a simple symmetric model, this research focuses on especially the parametric resonance, and evaluates nonlinear effect of the symmetric support forces by experiment and numerical analysis. Obtained results show that two modes, caused by coupling of horizontal translation and roll motion, can be excited nonlinearly when the superconductor is excited vertically in the neighborhood of twice the natural frequencies of those modes. We confirmed these resonances have nonlinear characteristics of soft-spring, hysteresis and so on.

KW - Nonlinear dynamics

KW - Parametric resonance

KW - Superconducting levitation

UR - http://www.scopus.com/inward/record.url?scp=33748610251&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33748610251&partnerID=8YFLogxK

U2 - 10.1016/j.physc.2006.06.028

DO - 10.1016/j.physc.2006.06.028

M3 - Article

VL - 445-448

SP - 1109

EP - 1114

JO - Physica C: Superconductivity and its Applications

JF - Physica C: Superconductivity and its Applications

SN - 0921-4534

IS - 1-2

ER -