Bifurcations in the response of a rigid rotor supported by load sharing between magnetic and auxiliary bearings
Auxiliary bearings are utilized in practical installations of magnetically suspended rotating machines with the main functions to provide support to the rotating machines during their non-operational period, and to protect the magnetic bearings and the rotating assembly from being damaged due to pow...
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my.uniten.dspace-303882023-12-29T15:47:19Z Bifurcations in the response of a rigid rotor supported by load sharing between magnetic and auxiliary bearings Inayat-Hussain J.I. 6602271377 Active magnetic bearing Auxiliary bearing Bifurcation Nonlinear Rotordynamics Bifurcation (mathematics) Magnetic bearings Magnetism Rotating machinery Rotation Active Magnetic Bearing Auxiliary bearings Chaotic vibration Dynamical phenomena Essential elements Load sharing Nonlinear Normal operations Numerical results Period doubling bifurcation Power-losses Quasi-periodic Rotating machine Rotor-bearing Rotor-bearing system Rotor-dynamics Vibration response Rigid rotors Auxiliary bearings are utilized in practical installations of magnetically suspended rotating machines with the main functions to provide support to the rotating machines during their non-operational period, and to protect the magnetic bearings and the rotating assembly from being damaged due to power loss during operation. The relatively small clearances of these bearings, which are typically half of that of the magnetic bearings, may at time cause contact between the rotor and these bearings to occur even during normal operation of the rotating machines. The work presented herein examines the bifurcations in the response of a rigid rotor supported by load sharing between magnetic and auxiliary bearings, which occurs during contact between the rotor and the auxiliary bearings. Numerical results revealed the occurrence of period-doubling bifurcation resulting in vibrations of period-2, -4, -8, -16 and -32, as well as quasi-periodic and chaotic vibrations. The results further showed that for a relatively small rotor imbalance magnitude, which is within the prescribed level of certain classes of practical rotating machinery, such nonlinear dynamical phenomena would not have been discovered had the auxiliary bearings forces been omitted in the model of the rotor-bearing system. As these bearings are essential elements in practical installations of magnetically supported rotating machines, failure to include them in the rotor-bearing model may result in incorrect prediction of the rotor's vibration response. � 2010 Springer Science+Business Media B.V. Final 2023-12-29T07:47:19Z 2023-12-29T07:47:19Z 2011 Article 10.1007/s11012-010-9395-8 2-s2.0-81955164256 https://www.scopus.com/inward/record.uri?eid=2-s2.0-81955164256&doi=10.1007%2fs11012-010-9395-8&partnerID=40&md5=2eac5dd68513468eb8aa3296a431c8df https://irepository.uniten.edu.my/handle/123456789/30388 46 6 1341 1351 Scopus |
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Active magnetic bearing Auxiliary bearing Bifurcation Nonlinear Rotordynamics Bifurcation (mathematics) Magnetic bearings Magnetism Rotating machinery Rotation Active Magnetic Bearing Auxiliary bearings Chaotic vibration Dynamical phenomena Essential elements Load sharing Nonlinear Normal operations Numerical results Period doubling bifurcation Power-losses Quasi-periodic Rotating machine Rotor-bearing Rotor-bearing system Rotor-dynamics Vibration response Rigid rotors |
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Active magnetic bearing Auxiliary bearing Bifurcation Nonlinear Rotordynamics Bifurcation (mathematics) Magnetic bearings Magnetism Rotating machinery Rotation Active Magnetic Bearing Auxiliary bearings Chaotic vibration Dynamical phenomena Essential elements Load sharing Nonlinear Normal operations Numerical results Period doubling bifurcation Power-losses Quasi-periodic Rotating machine Rotor-bearing Rotor-bearing system Rotor-dynamics Vibration response Rigid rotors Inayat-Hussain J.I. Bifurcations in the response of a rigid rotor supported by load sharing between magnetic and auxiliary bearings |
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Auxiliary bearings are utilized in practical installations of magnetically suspended rotating machines with the main functions to provide support to the rotating machines during their non-operational period, and to protect the magnetic bearings and the rotating assembly from being damaged due to power loss during operation. The relatively small clearances of these bearings, which are typically half of that of the magnetic bearings, may at time cause contact between the rotor and these bearings to occur even during normal operation of the rotating machines. The work presented herein examines the bifurcations in the response of a rigid rotor supported by load sharing between magnetic and auxiliary bearings, which occurs during contact between the rotor and the auxiliary bearings. Numerical results revealed the occurrence of period-doubling bifurcation resulting in vibrations of period-2, -4, -8, -16 and -32, as well as quasi-periodic and chaotic vibrations. The results further showed that for a relatively small rotor imbalance magnitude, which is within the prescribed level of certain classes of practical rotating machinery, such nonlinear dynamical phenomena would not have been discovered had the auxiliary bearings forces been omitted in the model of the rotor-bearing system. As these bearings are essential elements in practical installations of magnetically supported rotating machines, failure to include them in the rotor-bearing model may result in incorrect prediction of the rotor's vibration response. � 2010 Springer Science+Business Media B.V. |
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6602271377 |
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6602271377 Inayat-Hussain J.I. |
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author |
Inayat-Hussain J.I. |
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Inayat-Hussain J.I. |
title |
Bifurcations in the response of a rigid rotor supported by load sharing between magnetic and auxiliary bearings |
title_short |
Bifurcations in the response of a rigid rotor supported by load sharing between magnetic and auxiliary bearings |
title_full |
Bifurcations in the response of a rigid rotor supported by load sharing between magnetic and auxiliary bearings |
title_fullStr |
Bifurcations in the response of a rigid rotor supported by load sharing between magnetic and auxiliary bearings |
title_full_unstemmed |
Bifurcations in the response of a rigid rotor supported by load sharing between magnetic and auxiliary bearings |
title_sort |
bifurcations in the response of a rigid rotor supported by load sharing between magnetic and auxiliary bearings |
publishDate |
2023 |
_version_ |
1806428182423797760 |
score |
13.222552 |