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.
Issue Section:
Research Papers
1.
Backers
, F. T.
, 1960, “A Magnetic Journal Bearing
,” Philips Tech. Rev.
0031-7926, 22
(7
), pp. 232
–238
.2.
Yonnet
, J. P.
, 1978, “Passive Magnetic Bearings With Permanent Magnets
,” IEEE Trans. Magn.
0018-9464, 14
(5
), pp. 803
–805
.3.
Yonnet
, J. P.
, 1981, “Permanent Magnet Bearings and Couplings
,” IEEE Trans. Magn.
0018-9464, 17
(1
), pp. 1169
–1173
.4.
Yonnet
, J. P.
, Lemarquand
, G.
, Hemmerlin
, S.
, and Rulliere
, E. O.
, 1991, “Stacked Structures of Passive Magnetic Bearing
,” J. Appl. Phys.
0021-8979, 70
(10
), pp. 6633
–6635
.5.
Marinescu
, M.
, and Marinescu
, N.
, 1994, “A New Improved Method for Computation of Radial Stiffness of Permanent Magnetic Bearings
,” IEEE Trans. Magn.
0018-9464, 30
(5
), pp. 3491
–3494
.6.
Paden
, B.
, Groom
, N.
, and Antaki
, J. F.
, 2003, “Design Formulas for Permanent-Magnet Bearings
,” ASME J. Mech. Des.
0161-8458, 125
, pp. 734
–738
.7.
Mizuno
, T.
, and Aizawa
, M.
, 2003, “Repulsive Magnetic Bearing Using a Piezoelectric Actuator for Stabilization
,” JSME Int. J., Ser. C
1340-8062, 46
(2
), pp. 378
–384
.8.
Chen
, C.
, Paden
, B.
, Antaki
, J.
, Ludlow
, J.
, and Bearnson
, G.
, 2003, “Optimal Design of Permanent Magnet Bearings With Application to the HeartQuestTM Ventricular Assist Device
,” JSME Int. J., Ser. C
1340-8062, 46
(2
), pp. 403
–408
.9.
Tan
, Q.
, Li
, W.
, and Liu
, B.
, 2002, “Investigations on a Permanent Magnetic-Hydrodynamic Hybrid Journal Bearing
,” Tribol. Int.
, 35
, pp. 443
–448
. 0301-679X10.
Ohji
, T.
, Mukhopadhyay
, S. C.
, Iwahara
, M.
, and Yamada
, S.
, 2000, “Performance of Repulsive Type Magnetic Bearing System Under Nonuniform Magnetization of Permanent Magnet
,” IEEE Trans. Magn.
0018-9464, 36
(5
), pp. 3696
–3698
.11.
Mukhopadhyay
, S. C.
, Ohji
, T.
, Iwahara
, M.
, and Yamada
, S.
, 2000, “Modeling and Control of a New Horizontal Shaft Hybrid Type Magnetic Bearing
,” IEEE Trans. Ind. Electron.
0278-0046, 47
(1
), pp. 100
–108
.12.
Taylor
, H. D.
, 1940, “Critical Speed Behavior of Unsymmetrical Shafts
,” ASME J. Appl. Mech.
, 7
(2
), pp. 71
–79
. 0021-893613.
Brosens
, P. J.
, and Crandall
, S. H.
, 1961, “Whirling of Unsymmetrical Rotors
,” Trans. ASME, J. Appl. Mech.
, 83
, pp. 355
–362
. 0021-893614.
Yamamoto
, T.
, Ishida
, Y.
, and Ikeda
, T.
, 1984, “Vibrations of a Rotating Shaft With Rotating Nonlinear Restoring Forces at the Major Critical Speed
,” Bull. JSME
, 27
(230
), pp. 1728
–1736
. 0021-376415.
Yamamoto
, T.
, Ishida
, Y.
, Ikeda
, T.
, and Yamamoto
, M.
, 1986, “Nonlinear Forced Oscillations of a Rotating Shaft Carrying an Unsymmetrical Rotor at the Major Critical Speed
,” Bull. JSME
, 25
(210
), pp. 1969
–1976
. 0021-376416.
Ishida
, Y.
, and Inoue
, T.
, 2005, “Internal Resonance Phenomena of an Asymmetrical Rotating Shaft
,” J. Vib. Control
1077-5463, 11
(9
), pp. 1173
–1193
.17.
Wangsnees
, R. K.
, 1979, Electromagnetic Fields
, Wiley
, New York
.18.
Jacson
, J. D.
, 1975, Classical Electrodynamics
, Wiley
, New York
.19.
Yamamoto
, T.
, and Ishida
, Y.
, 2001, Linear and Nonlinear Rotordynamics
, Wiley
, New York
.20.
Yamamoto
, T.
, 1957, “On the Vibrations of a Rotating Shaft
,” Mem. Fac. Eng., Nagoya Univ.
, 9
(1
), pp. 19
–115
.21.
Ishida
, Y.
, and Inoue
, T.
, 2004, “Internal Resonance Phenomena of the Jeffcott Rotor With Nonlinear Spring Characteristics
,” Trans. ASME, J. Vib. Acoust.
1048-9002, 126
(4
), pp. 476
–484
.Copyright © 2009
by American Society of Mechanical Engineers
You do not currently have access to this content.