Geometric coupling effects on the bifurcations of a flexible rotor response in active magnetic bearings
This work reports on a numerical investigation on the bifurcations of a flexible rotor response in active magnetic bearings taking into account the nonlinearity due to the geometric coupling of the magnetic actuators as well as that arising from the actuator forces that are nonlinear function of the...
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my.uniten.dspace-309292023-12-29T15:56:03Z Geometric coupling effects on the bifurcations of a flexible rotor response in active magnetic bearings Inayat-Hussain J.I. 6602271377 Actuators Bifurcation (mathematics) Geometry Magnetic bearings Magnetism Active Magnetic Bearing Basin of attraction Coupling parameters External excitation Multiple attractors Numerical investigations Operating parameters Rotor-bearing system Magnetic actuators This work reports on a numerical investigation on the bifurcations of a flexible rotor response in active magnetic bearings taking into account the nonlinearity due to the geometric coupling of the magnetic actuators as well as that arising from the actuator forces that are nonlinear function of the coil current and the air gap. For the values of design and operating parameters of the rotor-bearing system investigated in this work, numerical results showed that the response of the rotor was always synchronous when the values of the geometric coupling parameter ? were small. For relatively larger values of ?, however, the response of the rotor displayed a rich variety of nonlinear dynamical phenomena including sub-synchronous vibrations of periods-2, -3, -6, -9, and -17, quasi-periodicity and chaos. Numerical results further revealed the co-existence of multiple attractors within certain ranges of the speed parameter ?. In practical rotating machinery supported by active magnetic bearings, the possibility of synchronous rotor response to become non-synchronous or even chaotic cannot be ignored as preloads, fluid forces or other external excitation forces may cause the rotor's initial conditions to move from one basin of attraction to another. Non-synchronous and chaotic vibrations should be avoided as they induce fluctuating stresses that may lead to premature failure of the machinery's main components. � 2008 Elsevier Ltd. All rights reserved. Final 2023-12-29T07:56:03Z 2023-12-29T07:56:03Z 2009 Article 10.1016/j.chaos.2008.09.041 2-s2.0-67649308738 https://www.scopus.com/inward/record.uri?eid=2-s2.0-67649308738&doi=10.1016%2fj.chaos.2008.09.041&partnerID=40&md5=93a6dc9a8cda38738894342f96786b5a https://irepository.uniten.edu.my/handle/123456789/30929 41 5 2664 2671 Elsevier Ltd Scopus |
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Actuators Bifurcation (mathematics) Geometry Magnetic bearings Magnetism Active Magnetic Bearing Basin of attraction Coupling parameters External excitation Multiple attractors Numerical investigations Operating parameters Rotor-bearing system Magnetic actuators |
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Actuators Bifurcation (mathematics) Geometry Magnetic bearings Magnetism Active Magnetic Bearing Basin of attraction Coupling parameters External excitation Multiple attractors Numerical investigations Operating parameters Rotor-bearing system Magnetic actuators Inayat-Hussain J.I. Geometric coupling effects on the bifurcations of a flexible rotor response in active magnetic bearings |
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This work reports on a numerical investigation on the bifurcations of a flexible rotor response in active magnetic bearings taking into account the nonlinearity due to the geometric coupling of the magnetic actuators as well as that arising from the actuator forces that are nonlinear function of the coil current and the air gap. For the values of design and operating parameters of the rotor-bearing system investigated in this work, numerical results showed that the response of the rotor was always synchronous when the values of the geometric coupling parameter ? were small. For relatively larger values of ?, however, the response of the rotor displayed a rich variety of nonlinear dynamical phenomena including sub-synchronous vibrations of periods-2, -3, -6, -9, and -17, quasi-periodicity and chaos. Numerical results further revealed the co-existence of multiple attractors within certain ranges of the speed parameter ?. In practical rotating machinery supported by active magnetic bearings, the possibility of synchronous rotor response to become non-synchronous or even chaotic cannot be ignored as preloads, fluid forces or other external excitation forces may cause the rotor's initial conditions to move from one basin of attraction to another. Non-synchronous and chaotic vibrations should be avoided as they induce fluctuating stresses that may lead to premature failure of the machinery's main components. � 2008 Elsevier Ltd. All rights reserved. |
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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 |
Geometric coupling effects on the bifurcations of a flexible rotor response in active magnetic bearings |
title_short |
Geometric coupling effects on the bifurcations of a flexible rotor response in active magnetic bearings |
title_full |
Geometric coupling effects on the bifurcations of a flexible rotor response in active magnetic bearings |
title_fullStr |
Geometric coupling effects on the bifurcations of a flexible rotor response in active magnetic bearings |
title_full_unstemmed |
Geometric coupling effects on the bifurcations of a flexible rotor response in active magnetic bearings |
title_sort |
geometric coupling effects on the bifurcations of a flexible rotor response in active magnetic bearings |
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Elsevier Ltd |
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2023 |
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1806426490120699904 |
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13.211869 |