Dynamics of a flexible rotor with circumferentially non-uniform magnetization supported by a superconducting magnetic bearing

Ryousuke Amano, Soichiro Kamada, Toshihiko Sugiura

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

A superconducting magnetic bearing has many opportunities in which it is driven higher than their critical speeds. Under those circumstances, the rotor can easily show elastic deformation and complicated phenomena by nonlinearity of electromagnetic force. Therefore, evaluation of its dynamics taking nonlinearity and elasticity into consideration in the vicinity of its critical speeds is demanded. This research examines the effects of magnetic nonuniformity of a rotor in its circumferential direction on dynamics. First, an essential model of a rotor with an elastic shaft supported by a superconducting magnetic bearing was introduced. By taking account of magnetic non-uniformity, our numerical result showed its three effects: anisotropy of the rigidity, characteristics equivalent to those of an asymmetrical cross section of the axis, and nonlinearity of electromagnetic force. These effects cause difference of critical speeds in the x, y directions, a frequency band showing instability of the rotor's motion, and change of eigenfrequencies depending on the amplitude, respectively. These effects may emerge simultaneously when the rotor has magnetic nonuniformity in its circumferential direction.

Original languageEnglish
Article number6416010
JournalIEEE Transactions on Applied Superconductivity
Volume23
Issue number3
DOIs
Publication statusPublished - 2013

Fingerprint

magnetic bearings
Magnetic bearings
rotors
Magnetization
Rotors
critical velocity
magnetization
nonuniformity
nonlinearity
electromagnetism
elastic deformation
Elastic deformation
rigidity
Rigidity
Frequency bands
Elasticity
Anisotropy
elastic properties
anisotropy
evaluation

Keywords

  • Modal analysis
  • nonlinear dynamical systems
  • rotors
  • vibrations

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

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abstract = "A superconducting magnetic bearing has many opportunities in which it is driven higher than their critical speeds. Under those circumstances, the rotor can easily show elastic deformation and complicated phenomena by nonlinearity of electromagnetic force. Therefore, evaluation of its dynamics taking nonlinearity and elasticity into consideration in the vicinity of its critical speeds is demanded. This research examines the effects of magnetic nonuniformity of a rotor in its circumferential direction on dynamics. First, an essential model of a rotor with an elastic shaft supported by a superconducting magnetic bearing was introduced. By taking account of magnetic non-uniformity, our numerical result showed its three effects: anisotropy of the rigidity, characteristics equivalent to those of an asymmetrical cross section of the axis, and nonlinearity of electromagnetic force. These effects cause difference of critical speeds in the x, y directions, a frequency band showing instability of the rotor's motion, and change of eigenfrequencies depending on the amplitude, respectively. These effects may emerge simultaneously when the rotor has magnetic nonuniformity in its circumferential direction.",
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AU - Kamada, Soichiro

AU - Sugiura, Toshihiko

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N2 - A superconducting magnetic bearing has many opportunities in which it is driven higher than their critical speeds. Under those circumstances, the rotor can easily show elastic deformation and complicated phenomena by nonlinearity of electromagnetic force. Therefore, evaluation of its dynamics taking nonlinearity and elasticity into consideration in the vicinity of its critical speeds is demanded. This research examines the effects of magnetic nonuniformity of a rotor in its circumferential direction on dynamics. First, an essential model of a rotor with an elastic shaft supported by a superconducting magnetic bearing was introduced. By taking account of magnetic non-uniformity, our numerical result showed its three effects: anisotropy of the rigidity, characteristics equivalent to those of an asymmetrical cross section of the axis, and nonlinearity of electromagnetic force. These effects cause difference of critical speeds in the x, y directions, a frequency band showing instability of the rotor's motion, and change of eigenfrequencies depending on the amplitude, respectively. These effects may emerge simultaneously when the rotor has magnetic nonuniformity in its circumferential direction.

AB - A superconducting magnetic bearing has many opportunities in which it is driven higher than their critical speeds. Under those circumstances, the rotor can easily show elastic deformation and complicated phenomena by nonlinearity of electromagnetic force. Therefore, evaluation of its dynamics taking nonlinearity and elasticity into consideration in the vicinity of its critical speeds is demanded. This research examines the effects of magnetic nonuniformity of a rotor in its circumferential direction on dynamics. First, an essential model of a rotor with an elastic shaft supported by a superconducting magnetic bearing was introduced. By taking account of magnetic non-uniformity, our numerical result showed its three effects: anisotropy of the rigidity, characteristics equivalent to those of an asymmetrical cross section of the axis, and nonlinearity of electromagnetic force. These effects cause difference of critical speeds in the x, y directions, a frequency band showing instability of the rotor's motion, and change of eigenfrequencies depending on the amplitude, respectively. These effects may emerge simultaneously when the rotor has magnetic nonuniformity in its circumferential direction.

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