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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Main Author: Inayat-Hussain J.I.
Other Authors: 6602271377
Format: Article
Published: Elsevier Ltd 2023
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spelling 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
institution Universiti Tenaga Nasional
building UNITEN Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tenaga Nasional
content_source UNITEN Institutional Repository
url_provider http://dspace.uniten.edu.my/
topic 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
spellingShingle 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
description 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.
author2 6602271377
author_facet 6602271377
Inayat-Hussain J.I.
format Article
author Inayat-Hussain J.I.
author_sort 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
publisher Elsevier Ltd
publishDate 2023
_version_ 1806426490120699904
score 13.211869