Abstract
The present work portrays the latest review of the progressive advances in passive magnetic bearing (PMB) technology. PMB is an old technology with many encouraging properties. However, there are a number of inherent issues with design, analysis, and performance characterization that must be considered for reliable operation. Finally, it examines in detail the geometrical configurations, load-bearing capacity, dynamic behavior, and stability connected with stiffness and damping.
Issue Section:
Review Article
References
1.
Penzkofer
, A.
, and Atallah
, K.
, 2014
, “Magnetic Gears for High Torque Applications
,” IEEE Trans. Magn.
, 50
(11
), p. 8104704-4
. 2.
McGilton
, B.
, Crozier
, R.
, McDonald
, A.
, and Mueller
, M.
, 2018
, “Review of Magnetic Gear Technologies and Their Applications in Marine Energy
,” IET Renew. Power Gener.
, 12
(2
), pp. 174
–181
. 3.
Atallah
, K.
, Calverley
, S. D.
, and Howe
, D.
, 2004
, “Design, Analysis and Realisation of a High-Performance Magnetic Gear
,” IEE Proc. Electr. Power Appl.
, 151
(2
), pp. 135
–143
. 4.
Qian
, K.-X.
, Ru
, W.-K.
, Wang
, H.
, and Jing
, T.
, 2007
, “A Mini Axial and a Permanent Maglev Radial Heart Pump
,” Open Biomed. Eng. J.
, 1
(1
), pp. 1
–3
. 5.
Jarvik
, R.
, 1996
, “Artificial Hearts With Permanent Magnet Bearings
,” U.S. Patent No. US 5,507,629
.6.
Goott
, B.
, and Bruss
, R. T.
, 1968
, “Heart Valve With Magnetic Hinge Means
,” U.S. Patent No. US 3,370,305
.7.
Han
, B.
, Huang
, Z.
, and Le
, Y.
, 2017
, “Design Aspects of a Large Scale Turbomolecular Pump With Active Magnetic Bearings
,” Vacuum
, 142
, pp. 96
–105
. 8.
Bonfitto
, A.
, Amati
, N.
, Suarez
, L. D.
, and Tonoli
, A.
, 2017
, “Turbomolecular Pumps on Conical Active Magnetic Bearings
,” Mech. Eng. J.
, 4
(5
), p. 16-00569
. 9.
Ritts
, G.
, 1993
, “Magnetically Levitated Spinning Axel Display Apparatus
,” U.S. Patent No. US 5,182,533
.10.
Simon
, M. D.
, Heflinger
, L. O.
, and Ridgway
, S. L.
, 1997
, “Spin Stabilized Magnetic Levitation
,” Am. J. Phys.
, 65
(4
), pp. 286
–292
. 11.
Morales
, W.
, Fusaro
, R.
, and Kascak
, A.
, 2003
, “Permanent Magnetic Bearing for Spacecraft Applications
,” Tribol. Trans.
, 46
(3
), pp. 460
–464
. 12.
Filatov
, A. V.
, and Maslen
, E. H.
, 2001
, “Passive Magnetic Bearing for Flywheel Energy Storage Systems
,” IEEE Trans. Magn.
, 37
(6
), pp. 3913
–3924
. 13.
Premkumar
, T. M.
, Mohan
, T.
, and Sivamani
, S.
, 2017
, “Design and Analysis of a Permanent Magnetic Bearing for Vertical Axis Small Wind Turbine
,” Energy Procedia
, 117
, pp. 291
–298
. 14.
Hashimoto
, J.
, and Kubo
, Y.
, 1997
, “A Magnetic Screw Device
,” U.S. Patent No. 5,687,614
.15.
Wang
, J.
, Atallah
, K.
, and Barnes
, J.
, 2012
, “Analysis and Design of a High Force Density Linear Electromagnetic Actuator
,” PCIM Eur. Conf. Proc.
, 47
(10
), pp. 177
–185
.16.
Lu
, K.
, and Wu
, W.
, 2014
, “Electromagnetic Lead Screw for Potential Wave Energy Application
,” IEEE Trans. Magn.
, 50
(11
), pp. 2
–5
. 17.
Kouhshahi
, M. B.
, and Bird
, J. Z.
, 2017
, “Analysis of a Magnetically Geared Lead Screw
,” Electrical and Computer Engineering Faculty Publications and Presentations
, Vol. 421
, pp. 1
–8
.18.
Post
, R. F.
, 1996
, Passive Magnetic Bearings for Vehicular Electromechanical Batteries
, Lawrence Livermore National Laboratory
, Livermore, CA
.19.
Earnshaw
, S.
, 1839
, “On the Nature of Forces Which Regulate the Constitution of Luminiferous Ether
,” Trans. Camb. Philos. Soc.
, 7
(Part I
), pp. 97
–112
.20.
Braunbeck
, W.
, 1939
, “Freischwebende Koerper Im Elekrrischen Und Magneticschen Feld
,” Z. Phys.
, 112
(11–12
), pp. 753
–763
. 21.
Sotelo
, G. G.
, Ferreira
, A. C.
, and de Andrade
, R.
, 2005
, “Halbach Array Superconducting Magnetic Bearing for a Flywheel Energy Storage System
,” IEEE Trans. Appl. Supercond.
, 15
(2
), pp. 2253
–2256
. 22.
Hekmati
, A.
, Hekmati
, R.
, and Siamaki
, M.
, 2017
, “Proposed Design for Superconducting Magnetic Bearing System With High-Temperature Superconducting Discs
,” IEEE Trans. Appl. Supercond.
, 27
(8
), pp. 1
–8
. 23.
Andrade
, R. d.
, Ferreira
, A. C.
, Sotelo
, G. G.
, Neto
, J. L. S.
, Rolim
, L. G. B.
, Suemitsu
, W. I.
, Bessa
, M. F.
, Stephan
, R. M.
, and Nicolsky
, R.
, 2005
, “Voltage Sags Compensation Using a Superconducting Flywheel Energy Storage System
,” IEEE Trans. Appl. Supercond.
, 15
(2
), pp. 2265
–2268
. 24.
Jiang
, S.
, Wang
, H.
, and Wen
, S.
, 2014
, “Flywheel Energy Storage System With a Permanent Magnet Bearing and a Pair of Hybrid Ceramic Ball Bearings
,” J. Mech. Sci. Technol.
, 28
(12
), pp. 5043
–5053
. 25.
Zhang
, L.
, Wu
, H.
, Li
, P.
, Hu
, Y.
, and Song
, C.
, 2019
, “Design, Analysis, and Experiment of Multiring Permanent Magnet Bearings by Means of Equally Distributed Sequences Based Monte Carlo Method
,” Math. Probl. Eng.
, 2019
, pp. 1
–17
. 26.
Thomson
, W.
, 1847
, “On the Forces Experienced by Small Spheres Under Magnetic Influence; and on Some of the Phenomena Presented by Diamagnetic Substances
,” Camb. Dublin Math. J.
, 32
(2
), pp. 499
–504
. 27.
Kustler
, G.
, 2007
, “Diamagnetic Levitation-Historical Milestones
,” Rev. Roum. Sci. Tech. Ser. Electrotech. Energ.
, 52
(3
), pp. 265
–282
.28.
Kemper
, H.
, 1934
, “Schwebebahn mit räderlosen Fahrzeugen, die an eisernen Fahrschienen mittels magnetischer Felder schwebend entlang geführt warden
”, German Patent 643316
.29.
Braunbek
, W.
, 1939
, “Freies Schweben Diamagnetischer Körper im Magnetfeld
,” Z. Phys.
, 112
(11–12
), pp. 764
–769
. 30.
Boerdijk
, A. H.
, 1956/57
, “Levitation by Static Magnetic Fields
,” Philips Tech. Rev.
, 18
(4/5
), pp. 125
–127
.31.
Steingroever
, E.
, and Franck
, S.
, 1968
, “Freies Schweben Eines 50 Pond Schweren Körpers mit Hilfe von Ferromagnetischen und Diamagnetischen Kräften
,” VDI Z.
, 110
, pp. 1141
–1143
.32.
Steingroever
, E.
, 1969
, “Magnetic Suspension System
,” U.S. Patent No. 3,428,370
.33.
Waldron
, R. D.
, 1965
, “Diamagnetic Levitation Using Pyrolytic Graphite
,” Rev. Sci. Instrum.
, 37
(1
), pp. 29
–35
. 34.
Backers
, F. T.
, 1960/61
, “A Magnetic Journal Bearing
,” Philips Tech. Rev.
, 22
(7
), pp. 232
–238
.35.
Geary
, P. J.
, 1964
, Magnetic and Electric Suspensions: A Survey of Their Design, Construction, and Use
, British Scientific Instrument Research Association
, Chislehurst
, p. 314
.36.
Trekell
, H. F.
, Mendelsohn
, L. I.
, and Wright
, J. H.
, 1948
, “Magnetic Suspension of the Watt-Hour Meter Rotor
,” AIEE Trans.
, 67
(2
), pp. 1180
–1185
. 37.
Polgreen
, G. R.
, 1964
, “Magnetic System of Transportation
,” U.S. Patent No. 3,158,765
.38.
Polgreen
, G. R.
, 1968
, “Railways With Magnetic Suspension
,” Engineer
, 226
, pp. 632
–636
.39.
Yaghoubi
, H.
, 2012
, “Practical Applications of Magnetic Levitation Technology
,” Report from Iron Maglev Technology
.40.
Lemarquand
, V.
, and Lemarquand
, G.
, 2010
, Magnetic Bearings, Theory and Applications
, B.
Polajzer
, ed., Sciyo
, Crotia
, pp. 85
–116
.41.
Furlani
, E.
, 1993
, “A Formula for the Levitation Force Between Magnetic Disks
,” IEEE Trans. Magn.
, 29
(6
), pp. 4165
–4169
. 42.
Ravaud
, R.
, Lemarquand
, G.
, and Lemarquand
, V.
, 2009
, “Force and Stiffness of Passive Magnetic Bearings Using Permanent Magnets. Part 1: Axial Magnetization
,” IEEE Trans. Magn.
, 45
(7
), pp. 2996
–3002
. 43.
Ravaud
, R.
, Lemarquand
, G.
, and Lemarquand
, V.
, 2009
, “Force and Stiffness of Passive Magnetic Bearings Using Permanent Magnets. Part 2: Radial Magnetization
,” IEEE Trans. Magn.
, 45
(9
), pp. 3334
–3342
. 44.
Herczynski
, A.
, 2013
, “Bound Charges and Currents
,” Am. J. Phys.
, 81
(3
), pp. 202
–205
. 45.
Lang
, M.
, 2002
, “Fast Calculation Method for the Forces and Stiffnesses of Bearings
,” 8th International Symposium on Magnetic Bearings
, Mito, Japan
, Aug. 26–28
, pp. 533
–538
.46.
Yonnet
, J.-P.
, 1981
, “Permanent Magnet Bearings and Couplings
,” IEEE Trans. Magn.
, 17
(1
), pp. 1169
–1173
. 47.
Yonnet
, J.-P.
,1980
, “Etude des paliers magnetiques passivs
,” Ph Thesis, Univ. Grenoble Alpes
.48.
Yonnet
, J.-P.
, 1978
, “Passive Magnetic Bearings With Permanent Magnets
,” IEEE Trans. Magn.
, 14
(5
), pp. 803
–805
. 49.
Paden
, B.
, Groom
, N.
, and Antaki
, J. F.
, 2003
, “Design Formulas for Permanent-Magnet Bearings
,” Trans. ASME J. Mech. Des.
, 125
(4
), pp. 734
–738
. 50.
Marth
, E.
, Jungmayr
, G.
, and Amrhein
, W.
, 2014
, “A 2-D-Based Analytical Method for Calculating Permanent Magnetic Ring Bearings With Arbitrary Magnetization and Its Application to Optimal Bearing Design
,” IEEE Trans. Magn.
, 50
(5
), pp. 1
–8
. 51.
Marinescu
, M.
, 1979
, “Analytische Berechnungen und Modellvorstellungen für Systeme mit Dauermagneten und Eisen
,” Ph.D. thesis
, TU Braunschweig
, Braunschweig
.52.
Marinescu
, M.
, and Marinescu
, N.
, 1994
, “A New Improved Method for Computation of Radial Stiffness of Permanent Magnet Bearings
,” IEEE Trans. Magn.
, 30
(5
), pp. 3491
–3494
. 53.
Yonnet
, J.-P.
, Hemmerlin
, S.
, Rulliere
, E.
, and Lemarquand
, G.
, 1993
, “Analytical Calculation of Permanent Magnet Couplings
,” IEEE Trans. Magn.
, 29
(6
), pp. 2932
–2934
. 54.
Akoun
, G.
, and Yonnet
, J.-P.
, 1984
, “3D Analytical Calculation of the Forces Exerted Between Two Cuboidal Magnets
,” IEEE Trans. Magn.
, 20
(5
), pp. 1962
–1964
. 55.
Allag
, H.
, Yonnet
, J.-P.
, and Latreche
, M. E. H.
, 2009
, 3D Analytical Calculation of Forces Between Linear Halbach-Type Permanent Magnet Arrays
, Electromotion
, Lille
.56.
Ravaud
, R.
, Lemarquand
, G.
, Lemarquand
, V.
, and Depollier
, C.
, 2008
, “Analytical Calculation of the Magnetic Field Created by Permanent-Magnet Rings
,” IEEE Trans. Magn.
, 44
(8
), pp. 1982
–1989
. 57.
Selvaggi
, J. P.
, Salon
, S.
, Kwon
, O.-M.
, and Chari
, M. V. K.
, 2004
, “Calculating the External Magnetic Field From Permanent Magnets in Permanent-Magnet Motors—An Alternative Method
,” IEEE Trans. Magn.
, 40
(5
), pp. 3278
–3285
. 58.
Ravaud
, R.
, and Lemarquand
, G.
, 2010
, “Halbach Structures for Permanent Magnets Bearings
,” Prog. Electromagn. Res. M
, 14
(PIER M
), pp. 263
–277
. 59.
Moser
, R.
, Sandtner
, J.
, and Bleuler
, H.
, 2006
, “Optimization of Repulsive Passive Magnetic Bearings
,” IEEE Trans. Magn.
, 42
(8
), pp. 2038
–2042
. 60.
Yonnet
, J.-P.
, Lemarquand
, G.
, Hemmerlin
, S.
, and Olivier-Rulliere
, E.
, 1991
, “Stacked Structures of Passive Magnetic Bearings
,” J. Appl. Phys.
, 70
(10
), pp. 6633
–6635
. 61.
Bancel
, F.
, and Lemarquand
, G.
, 1998
, “Three-Dimensional Analytical Optimization of Permanent Magnets Alternated Structure
,” IEEE Trans. Magn.
, 34
(1
), pp. 242
–247
. 62.
Lijesh
, K. P.
, Doddamani
, M.
, and Bekinal
, S. I.
, 2018
, “A Pragmatic Optimization of Axial Stack-Radial Passive Magnetic Bearings
,” ASME J. Tribol.
, 140
(2
), p. 021901
. 63.
Lijesh
, K. P.
, and Hirani
, H.
, 2015
, “Development of Equations for Design and Optimization of Axially Polarized Radial Passive Magnetic Bearing
,” ASME J. Tribol.
, 137
(1
), p. 011103
. 64.
Lijesh
, K. P.
, 2018
, “Design Methodology for Monolithic Layer Radial Passive Magnetic Bearing
,” Proc. Inst. Mech. Eng. Part J
, 233
(6
), pp. 992
–1000
.65.
Lijesh
, K. P.
, Doddamani
, M.
, Bekinal
, S. I.
, and Muzakkir
, S. M.
, 2017
, “Multi-Objective Optimization of Stacked Radial Passive Magnetic Bearing
,” Proc. Inst. Mech. Eng. Part J
, 232
(9
), pp. 1140
–1159
. 66.
Karmakar
, M.
, and Sarkar
, S.
, 2020
, “Non Dimensional Analysis of Axially Polarized Passive Magnetic Bearings
,” SN Appl. Sci.
, 2
(5
), p. 987
. 67.
Safaeian
, R.
, and Heydari
, H.
, 2019
, “Optimal Design of Passive Permanent Magnet Bearings
,” 27th Iranian Conference on Electrical Engineering (ICEE)
, Yazd, Iran
, Apr. 30–May 2
, pp. 458
–463
.68.
Safaeian
, R.
, and Heydari
, H.
, 2019
, “Augmentation of Passive Magnetic Bearing Performance by Using Air or Iron Intervals
,” COMPEL—Int. J. Comput. Math. Electr. Electron. Eng.
, 38
(2
), pp. 657
–671
. 69.
Wu
, L. J.
, Zhu
, Z. Q.
, Staton
, D.
, Popescu
, M.
, and Hawkins
, D.
, 2011
, “An Improved Subdomain Model for Predicting Magnetic Field of Surface-Mounted Permanent Magnet Machines Accounting for Tooth-Tips
,” IEEE Trans. Magn.
, 47
(6
), pp. 1693
–1704
. 70.
Santra
, T.
, Roy
, D.
, and Choudhury
, A. B.
, 2017
, “Calculation of Passive Magnetic Force in a Radial Magnetic Bearing Using General Division Approach
,” Prog. Electromagn. Res. M
, 54
, pp. 91
–102
. 71.
Safaeian
, R.
, and Heydari
, H.
, 2019
, “Optimal Design of a Compact Passive Magnetic Bearing Based on Dynamic Modelling
,” IET Electr. Power Appl.
, 13
(6
), pp. 720
–729
. 72.
Kluyskens
, V.
, and Dehez
, B.
, 2013
, “Dynamical Electromechanical Model for Magnetic Bearings Subject to Eddy Currents
,” IEEE Trans. Magn.
, 49
(4
), pp. 1444
–1452
. 73.
Kluyskens
, V.
, Dehez
, B.
, and Ahmed
, H. B.
, 2007
, “Dynamical Electromechanical Model for Magnetic Bearings
,” IEEE Trans. Magn.
, 43
(7
), pp. 3287
–3292
. 74.
Bermudez
, J.-L.
, Zanolli
, S.
, Sandtner
, J.
, Bleuler
, H.
, and Benabderrahmane
, C.
, 2000
, “Preliminary Experiments on an Eddy Currents Bearing
,” 7th International Symposium Magnetic Bearings
, Zurich, Switzerland
, Aug. 23–25
, pp. 135
–140
.75.
Murakami
, C.
, and Satoh
, I.
, 2000
, “Experiments of a Very Simple Radial-Passive Magnetic Bearing Based on Eddy Currents
,” 7th International Symposium Magnetic Bearings
, Zurich, Switzerland
, Aug. 23–25
, pp. 141
–146
.76.
Bender
, D. A.
, and Fost
, R. F.
, 2000
, “Ambient-Temperature Passive Magnetic Bearing Based on Eddy Currents
,” 7th International Symposium Magnetic Bearings
, Zurich, Switzerland
, Aug. 23–25
, pp. 153
–158
.77.
Sandtner
, J.
, Bermudez
, J.-L.
, and Bleuler
, H.
, 2000
, “High-Speed Passive Magnetic Bearing With Increased Load Supporting Capabilities
,” 7th International Symposium Magnetic Bearings
, Zurich, Switzerland
, Aug. 23–25
, pp. 159
–164
.78.
Muramatsu
, K.
, Shimizu
, T.
, Kameari
, A.
, Yanagisawa
, I.
, Tokura
, S.
, Saito
, O.
, and Kaido
, C.
, 2006
, “Analysis of Eddy Currents in Surface Layer of Laminated Core in Magnetic Bearing System Using Leaf Edge Elements
,” IEEE Trans. Magn.
, 42
(4
), pp. 883
–886
. 79.
Bouty
, O.
, 2002
, “Eddy Current Losses in Passive Magnetic Bearings
,” J. Appl. Phys.
, 92
(11
), pp. 6851
–6856
. 80.
Hedlund
, M.
, Abrahamsson
, J.
, Loya
, J. J. P.
, Lundin
, J.
, and Bernhoff
, H.
, 2017
, “Eddy Currents in a Passive Magnetic Axial Thrust Bearing for a Flywheel Energy Storage System
,” Int. J. Appl. Electromagn. Mech.
, 54
(3
), pp. 389
–404
. 81.
Stoll
, R. L.
, 1974
, The Analysis of Eddy Currents
, Clarendon Press
, Oxford
.82.
Meeker
, D. C.
, and Maslen
, E. C.
, 1998
, “Prediction of Rotating Losses in Heteropolar Radial Magnetic Bearings
,” ASME J. Tribol.
, 120
(3
), pp. 629
–635
. 83.
Boubaker
, N.
, Matt
, D.
, Enrici
, P.
, Martire
, T.
, and Nierlich
, F.
, 2013
, “Estimation of Rotor Eddy-Current Losses for High Speed SPMSM
,” 2013 15th European Conference on Power Electronics and Applications (EPE)
, Lille, France
, Sept. 2–6
, pp. 1
–6
.84.
Zhang
, P.
, Sizov
, G. Y.
, He
, J.
, Ionel
, D. M.
, and Demerdash
, N. A. O.
, 2013
, “Calculation of Magnet Losses in Concentrated-Winding Permanent-Magnet Synchronous Machines Using a Computationally Efficient Finite-Element Method
,” IEEE Trans. Ind. Appl.
, 49
(6
), pp. 2524
–2532
. 85.
Zhou
, G.-H.
, Han
, L.
, Fan
, Z.-N.
, Liao
, Y.
, and Huang
, S.
, 2014
, “3D Loss and Heat Analysis at the End Region of 4-Poles 1150 MW Nuclear Power Turbine Generator
,” Arch. Electr. Eng.
, 63
(1
), pp. 47
–61
. 86.
Fang
, J.
, Le
, Y.
, Sun
, J.
, and Wang
, K.
, 2012
, “Analysis and Design of Passive Magnetic Bearing and Damping System for High-Speed Compressor
,” IEEE Trans. Magn.
, 48
(9
), pp. 2528
–2537
. 87.
Lee
, K.
, and Park
, K.
, 2002
, “Modeling Eddy Currents With Boundary Conditions by Using Coulombs Law and the Method of Images
,” IEEE Trans. Magn.
, 38
(2
), pp. 1333
–1340
. 88.
Sodano
, H. A.
, Bae
, J. S.
, Inman
, D. J.
, and Belvin
, W. K.
, 2006
, “Improved Concept and Model of Eddy Current Damper
,” ASME J. Vib. Acoust.
, 128
(3
), pp. 294
–302
. 89.
Kligerman
, Y.
, Grushkevich
, A.
, and Darlow
, M. S.
, 1998
, “Analytical and Experimental Evaluation of Instability in Rotordynamic System With Electromagnetic Eddy Current Damper
,” ASME J. Vib. Acoust.
, 120
(1
), pp. 272
–278
. 90.
Frederick
, J. R.
, and Darlow
, M. S.
, 1994
, “Operation of an Electromagnetic Eddy Current Damper With a Supercritical Shaft
,” ASME J. Vib. Acoust.
, 116
(4
), pp. 578
–580
. 91.
Bassani
, R.
, 2006
, “Earnshow S. (1805–1888) and Magnetic Stability
,” Meccanica
, 41
(4
), pp. 375
–389
. 92.
Bassani
, R.
, and Villani
, S.
, 1999
, “Passive Magnetic Bearing: The Conic-Shaped Bearing
,” Proc. Inst. Mech. Eng. Part J
, 213
(2
), pp. 151
–161
. 93.
Bassani
, R.
, Ciulli
, E.
, Di Puccio
, F.
, and Musolino
, A.
, 2001
, “Study of Conic Permanent Magnets Bearings
,” Meccanica
, 36
(6
), pp. 745
–754
. 94.
Kellog
, O. D.
, 1953
, Foundation of Potential Theory
, Dover Publishing Inc.
, New York
.95.
Helms
, L. L.
, 1969
, Introduction to Potential Theory
, Wiley-Inter-Science
, Hoboken, NJ
.96.
Harrigan
, R.
, 1983
, “Levitation Device,” U.S. Patent No. 4,382,245, May 3.97.
Berry
, M. V.
, 1996
, “The LevitronTM: An Adiabatic Trap for Spins
,” Proc. R. Soc. Lond. Ser. A
, 452
(1948
), pp. 1207
–1220
. 98.
Genta
, G.
, Delprete
, C.
, and Rondano
, D.
, 1999
, “Giroscopic Stabilisation of Passive Magnetic Levitation
,” Meccanica
, 34
(6
), pp. 411
–424
. 99.
Heide
, H. V. D.
, 1974
, “Stabilization by Oscillation
,” Philips Tech. Rev.
, 34
(2/3
), pp. 61
–72
.100.
McLachlan
, N. W.
, 1947
, Theory and Application of Mathieu Functions
, Claredon
, Oxford
.101.
Sackett
, C.
, Cornell
, E.
, Monroe
, C.
, and Wieman
, C.
, 1993
, “A Magnetic Suspension System for Atoms and Bar Magnets
,” Am. J. Phys.
, 61
(4
), pp. 304
–309
. 102.
Bassani
, R.
, 2005
, “Stability of Permanent Magnet Bearings Under Parametric Excitations
,” Tribol. Trans.
, 48
(4
), pp. 457
–463
. 103.
Bassani
, R.
, 2007
, “A Stability Space of a Magnetomechanical Bearing
,” ASME J. Dyn. Syst. Meas. Control
, 129
(2
), pp. 178
–181
. 104.
Bassani
, R.
, and Ciulli
, E.
, 2005
, “Passive Magnetic Bearings. Low Instability and Possible Stability
,” Proceedings of the World Tribology Congress.
, Washington, DC
, September
, ASME Paper No. WTC2005-63546.105.
Bassani
, R.
, 2007
, “Dynamic Stability of Passive Magnetic Bearings
,” Nonlinear Dyn.
, 50
(1–2
), pp. 161
–168
. 106.
Bassani
, R.
, 2013
, “Magnetoelastic Stability of Magnetic Axial Bearings
,” Tribol. Lett.
, 49
(2
), pp. 397
–401
. 107.
Andersen
, S. B.
, Enemark
, S.
, and Santos
, I. F.
, 2013
, “Dynamics and Stability of Rigid Rotors Levitated by Passive Cylinder-Magnet Bearings and Driven/Supported Axially by Point Wise Contact Clutch
,” J. Sound Vib.
, 332
(25
), pp. 6637
–6658
. 108.
Enemark
, S.
, and Santos
, I. F.
, 2014
, “Dynamic Interaction Between Rotor and Axially-Magnetized Passive Magnetic Bearing Considering Magnetic Eccentricity
,” Proceedings of the ASME International Mechanical Engineering Congress Exposition (IMECE 2014)
, Montreal, Canada
, Nov. 14–20
, pp. 1
–10
.109.
Amati
, N.
, De Lépine
, X.
, and Tonoli
, A.
, 2008
, “Modeling of Electrodynamic Bearings
,” ASME J. Vib. Acoust.
, 130
(6
), p. 061007
. 110.
Detoni
, J. G.
, 2014
, “Progress on Electrodynamic Passive Magnetic Bearings for Rotor Levitation
,” Proc. Inst. Mech. Eng. Part C
, 228
(10
), pp. 1829
–1844
. 111.
Becker
, W.
, 1985
, “Pump With Magnetic Bearings
,” U.S. Patent No. 4,541,772
.112.
Fremerey
, J. K.
, 1989
, Magnetic Bearings
, G.
Schweitzer
, ed., Springer
, Berlin
, pp. 25
–31
.113.
Cheah
, S. K.
, and Sodano
, H. A.
, 2008
, “Novel Eddy Current Damping Mechanism for Passive Magnetic Bearings
,” J. Vib. Control
, 14
(11
), pp. 1749
–1766
. 114.
Sodano
, H. A.
, Bae
, J. S.
, Inman
, D. J.
, and Belvin
, W. K.
, 2005
, “Concept and Model of Eddy Current Damper for Vibration Suppression of a Beam
,” J. Sound Vib.
, 288
(4–5
), pp. 1177
–1196
. 115.
Detoni
, J. G.
, Cui
, Q.
, Amati
, N.
, and Tonoli
, A.
, 2016
, “Modeling and Evaluation of Damping Coefficient of Eddy Current Dampers in Rotordynamic Applications
,” J. Sound Vib.
, 373
, pp. 52
–65
. 116.
MacHattie
, L. E.
, 1941
, “The Production of High Rotational Speed
,” Rev. Sci. Instrum.
, 12
(9
), pp. 429
–435
. 117.
Beams
, J. W.
, 1963
, “Double Magnetic Suspension
,” Rev. Sci. Instrum.
, 34
(10
), pp. 1071
–1074
. 118.
Marth
, E.
, Jungmayr
, G.
, and Amrhein
, W.
, 2016
, “Fundamental Considerations on Introducing Damping to Passively Magnetically Stabilized Rotor Systems
,” Adv. Mech. Eng.
, 8
(12
), pp. 1
–9
. 119.
Tecza
, J. A.
, and Rao
, D. K.
, 1996
, “Damping for Passive Magnetic Bearings
,” U.S. Patent No. 5,521,448
.120.
Fremerey
, J. K.
, Polachowski
, S.
, and Reiff
, H.
, 1995
, “Magnetisches lager
,” Patent DE19543745, USA
.121.
Imlach
, J.
, 2002
, “Passive Magnetic Support and Damping System
,” U.S. Patent No. 6,448,679
.122.
Post
, R.
, 2001
, “Combined Passive Magnetic Bearing Element and Vibration Damper
,” U.S. Patent No. 6,191,515
.123.
Glanzer
, S.
, 2017
, “Magnetic Damper for Vibration Absorber
,” European Patent No. EP3180542B1
.124.
Lijesh
, K. P.
, and Hirani
, H.
, 2015
, “Magnetic Bearing Using Rotation Magnetized Direction Configuration
,” ASME J. Tribol.
, 137
(4
), p. 042201
. 125.
Lang
, M.
, and Lembke
, T. A.
, 2006
, “Design of Permanent Magnet Bearings With High Stiffness
,” 10th International Symposium on Magnetic Bearings
, Martigny, Switzerland
, Aug. 21–23
, pp. 45
–48
.126.
Bekinal
, S. I.
, and Jana
, S.
, 2016
, “Generalized Three-Dimensional Mathematical Models for Force and Stiffness in Axially, Radially, and Perpendicularly Magnetized Passive Magnetic Bearings With “n” Number of Ring Pairs
,” ASME J. Tribol.
, 138
(3
), p. 031105
. 127.
Gabrys
, C. W.
, 2004
, “Permanent Magnetic Bearing
,” U.S. Patent No. 6,806,605
.128.
Samanta
, P.
, and Hirani
, H.
, 2008
, “Magnetic Bearing Configurations: Theoretical and Experimental Studies
,” IEEE Trans. Magn.
, 44
(2
), pp. 292
–300
. 129.
Hirani
, H.
, and Samanta
, P.
, 2007
, “Hybrid (Hydrodynamic + Permanent Magnetic) Journal Bearings
,” Proc. Inst. Mech. Eng. Part J
, 221
(8
), pp. 881
–891
. 130.
Tan
, Q.
, Li
, W.
, and Liu
, B.
, 2002
, “Investigations on a Permanent Magnetic–Hydrodynamic Hybrid Journal Bearing
,” Tribol. Int.
, 35
(7
), pp. 443
–448
. 131.
Post
, R. F.
, 2013
, “Magnetic Bearing Element With Adjustable Stiffness
,” U.S. Patent No. 8581463B2
.132.
Post
, R. F.
, 2014
, “Passive Magnetic Bearing System
,” U.S. Patent No. 8823233B2
.133.
Meeks
, C. R.
, 1971
, “Magnetic Bearing for Combined Radial and Thrust Loads
,” U.S. Patent No. 3,614,181
.134.
Kronenberg
, K. J.
, 1973
, “Quantitative Considerations of Self-Centering Magnetic Suspensions With Permanent Magnets
,” IEEE Trans. Magn.
, 9
(3
), pp. 210
–213
. 135.
Ohji
, T.
, Mukhopadhyay
, S. C.
, Iwahara
, M.
, and Yamada
, S.
, 2000
, “Performance of Repulsive Type Magnetic Bearing System Under Non-Uniform Magnetization of Permanent Magnet
,” IEEE Trans. Magn.
, 36
(5
), pp. 3696
–3698
. 136.
Oshima
, S.
, 1991
, “Noncontact Bearing Utilizing Magnetism
,” U.S. Patent No. 5,043,615
.137.
Forster
, H.
, Hini
, P.
, and Stransky
, G.
, 1982
, “Magnetic Suspension Bearing
,” U.S. Patent No. 4,340,260
.138.
Hamler
, A.
, Gorican
, V.
, Stumberger
, B.
, Jesenik
, M.
, and Trlep
, M.
, 2004
, “Passive Magnetic Bearing
,” J. Magn. Magn. Mater.
, 272–276
(6
), pp. 2379
–2380
. 139.
Imlach
, J.
, 1999
, “Passive Magnetic Bearing
,” U.S. Patent No. 5,894,181
.140.
Post
, R. F.
, 2011
, “Passive Magnetic Bearing Configuration
,” U.S. Patent No. 7,876,010
.141.
Post
, R. F.
, 1996
, “Dynamically Stable Magnetic Suspension/Bearing System
,” U.S. Patent No. 5,495,221
.142.
Post
, R. F.
, 2017
, “Halbach-Array Radial Stabilizer for a Passive Magnetic Bearing
,” U.S. Patent No. 2017/0353078 A1
.143.
Ohji
, T.
, Kano
, M.
, Mukhopadhyay
, S. C.
, Iwahara
, M.
, and Yamada
, S.
, 2000
, “The Effect of Non-Uniform Magnetization of Permanent Magnets on the Performance of a Repulsive Type Magnetic Bearing System
,” Int. J. Appl. Electromagn. Mech.
, 11
(4
), pp. 255
–259
. 144.
Katter
, M.
, 2005
, “Angular Dependence of the Demagnetization Stability of Sintered Nd–Fe–B Magnets
,” IEEE Trans. Magn.
, 41
(10
), pp. 3853
–3855
. 145.
Cullity
, B. D.
, and Graham
, C. D.
, 2009
, Introduction to Magnetic Materials
, John Wiley & Sons, Inc. and IEEE
, Hoboken, NJ
.146.
Ramesh
, R.
, and Thomas
, G.
, 1988
, “Effect of Quench Rate on the Intrinsic Coercivity of Iron-Rare Earth-Boron Permanent Magnets
,” Acta Metall.
, 36
(12
), pp. 3137
–3147
. 147.
Withey
, P. A.
, Kennett
, H. M.
, Bowen
, P.
, and Harris
, I. R.
, 1990
, “The Magnetic and Mechanical Properties of NdFeB Type Permanent Magnets and the Effect of Quenching
,” IEEE Trans. Magn.
, 26
(5
), pp. 2619
–2621
. 148.
Rusnaeni
, N.
, Sarjono
, P.
, Muljadi
, and Noer
, N.
, 2016
, “The Epoxy Resin Variation Effect on Microstructure and Physical Properties to Improve Bonded NdFeB Flux Magnetic Density
,” J. Phys.: Conf. Ser.
, 776
(1
), p. 012025
. 149.
Wang
, F.
, and Zuo
, B. V.
, “Detection of Surface Cutting Defect on Magnet Using Fourier Image Reconstruction
,” J. Cent. South Univ.
, 23
(5
), pp. 1123
–1131
. 150.
Muzakkir
, S. M.
, Lijesh
, K. P.
, and Hirani
, H.
, 2014
, “Tribological Failure Analysis of a Heavy-Loaded Slow Speed Hybrid Journal Bearing
,” Eng. Failure Anal.
, 40
, pp. 97
–113
. 151.
Lijesh
, K. P.
, and Hirani
, H.
, 2014
, “Stiffness and Damping Coefficients for Rubber Mounted Hybrid Bearing
,” Lubr. Sci.
, 26
(5
), pp. 301
–314
. 152.
Enz
, U.
, 1982
, Handbook of Ferromagnetic Materials
, E. P.
Wohlfarth
, ed., North Holland Publishing Company
, Amsterdam, Netherlands
, pp. 1
–36
.153.
Baermann
, M.
, “German Patent Application B 30 042 Dated 1954 (German Specification 1 017 871 Dated 1957)
.”154.
Mohapatra
, J.
, and Liu
, J. P.
, 2018
, Handbook of Magnetic Materials. E. Bruck, ed.
, Elsevier
, New York
, pp. 1
–57
.155.
Gould
, J. E.
, 1969
, “Permanent Magnet Applications
,” IEEE Trans. Magn.
, 5
(4
), pp. 812
–821
. 156.
Lacheisserie
, E. D. T. D.
, Gignoux
, D.
, and Schlenker
, M.
, 2005
, Magnetism Materials and Applications
, Springer Science
, Boston, MA
.157.
Wasson
, K. G.
, 1978
, “Radial Magnetic Bearing
,” U.S. Patent No. 4,072,370
.158.
Mukhopadhyay
, S. C.
, Donaldson
, J.
, Sengupta
, G.
, Yamada
, S.
, Chakraborty
, C.
, and Kacprzak
, D.
, 2003
, “Fabrication of a Repulsive-Type Magnetic Bearing Using a Novel Arrangement of Permanent Magnets for Vertical-Rotor Suspension
,” IEEE Trans. Magn.
, 39
(5
), pp. 3220
–3222
. 159.
Lijesh
, K. P.
, Muzakkir
, S. M.
, and Hirani
, H.
, 2016
, “Failure Mode and Effect Analysis of Passive Magnetic Bearing
,” Eng. Failure Anal.
, 62
, pp. 1
–20
. 160.
Martinek
, G.
, and Kronmüller
, M.
, 1991
, “Influence of Grain Orientation on the Coercive Field in Fe–Nd–B Permanent Magnets
,” J. Magn. Magn. Mater.
, 86
(2–3
), pp. 177
–183
. 161.
Gronefeld
, M.
, and Kronmüller
, H.
, 1989
, “Calculation of Strayfields Near Grain Edges in Permanent Magnet Material
,” J. Magn. Magn. Mater.
, 80
(2–3
), pp. 223
–228
. 162.
Kumbernuss
, J.
, Chen Jian
, B.
, Wang
, J.
, Yang
, H. X.
, and Fu
, W. N.
, 2012
, “A Novel Magnetic Levitated Bearing System for Vertical Axis Wind Turbines (VAWT)
,” Appl. Energy
, 90
(1
), pp. 148
–153
. 163.
Randrianantoandro
, N.
, Crisan
, A. D.
, Crisan
, O.
, Marcin
, J.
, Kovac
, J.
, Hanko
, J.
, Grenèche
, J. M.
, Svec
, P.
, Chrobak
, A.
, and Skorvanek
, I.
, 2010
, “The Influence of Microstructure on Magnetic Properties of Nanocrystalline Fe–Pt–Nb–B Permanent Magnet Ribbons
,” J. Appl. Phys.
, 108
(9
), p. 093910
. 164.
Zhang
, Z.
, Sharma
, P.
, Yubuta
, K.
, and Makino
, A.
, 2012
, “Synthesis, Microstructure and Magnetic Properties of Low Nd Content Fe90Nd5B3.5M1.5 (M = Hf, Ti and Ta) Alloys
,” J. Appl. Phys.
, 111
(7
), p. 07B501
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