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Research Papers

Vibration of the Rigid Rotor Supported by a Repulsive Magnetic Bearing (Influences of Magnetic Anisotropies of Magnets)

[+] Author and Article Information
Tsuyoshi Inoue

Department of Electronic-Mechanical Engineering, School of Engineering, Nagoya University, Nagoya, Aichi 464-8603, Japaninoue@nuem.nagoya-u.ac.jp

Yukio Ishida

Department of Electronic-Mechanical Engineering, School of Engineering, Nagoya University, Nagoya, Aichi 464-8603, Japanishida@nuem.nagoya-u.ac.jp

Takeshi Tsumura

 Aisin AW Co., Ltd., 10, Takane, Fujii-cho, Anjo City, Aichi 444-1192, Japan

J. Vib. Acoust 131(3), 031002 (Apr 07, 2009) (10 pages) doi:10.1115/1.3085887 History: Received December 01, 2006; Revised December 15, 2008; Published April 07, 2009

This study focuses on the vibration of the rotor supported by a repulsive-type passive magnetic bearing. It evaluates the restoring force of a repulsive magnetic bearing numerically by considering the effects of magnetic anisotropies of the inner and the outer magnets. The study mainly investigates the occurrences of linear and nonlinear parametric characteristics, and the excitation forces for each pattern of magnetic anisotropies. Moreover, it clarifies the effects of each magnetic anisotropy pattern on the occurrences of various resonance phenomena theoretically and experimentally.

Copyright © 2009 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Theoretical model

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Figure 2

Model of a repulsive magnetic bearing

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Figure 3

Approximation of repulsive magnetic force: (a) influence of displacement r and rotation angle ψ and (b) Influence of position angle ϕ and rotation angle ψ

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Figure 4

Unbalance responses and natural frequency diagram

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Figure 5

Effect of excitation force and nonlinear components due to isotropic characteristics of repulsive magnetic force

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Figure 6

Effect of anisotropic characteristics BB0–BB4 in the outer magnet

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Figure 7

Effect of anisotropic characteristics BA0–BA4 in the inner magnet

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Figure 8

Case with anisotropic characteristics BA3 in the inner magnet and BB2 in the outer magnet

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Figure 9

Case with anisotropic characteristics BA2 in the inner magnet and BB3 in the outer magnet

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Figure 10

Experimental system

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Figure 11

Magnetic flux densities of the inner magnet and the outer magnet

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Figure 12

Setting of anisotropic characteristics in the magnetic bearing

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Figure 13

Case with an permanent magnets on the market (maximum magnetic anisotropy was first order magnetic anisotropy BA1 of the inner ring, and its magnitude was 2.7% of average value BA0)

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Figure 14

Case with anisotropic characteristics BA3 in the inner magnet and BB2 in the outer magnet

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Figure 15

Time histories and spectrum at point A(ω=454 rpm) in the case with BA3 and BB2

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Figure 16

Case with anisotropic characteristics BA2 in the inner magnet and BB3 in the outer magnet

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Figure 17

Time histories and spectrum at point B(ω=685 rpm) in the case with BA2 and BB3

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