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Nonlinear dynamics of a statically misaligned flexible rotor in active magnetic bearings

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dc.citedby33
dc.contributor.authorInayat-Hussain J.I.en_US
dc.contributor.authorid6602271377en_US
dc.date.accessioned2023-12-29T07:50:53Z
dc.date.available2023-12-29T07:50:53Z
dc.date.issued2010
dc.description.abstractThe response of a statically misaligned flexible rotor mounted in active magnetic bearings is numerically investigated in this work. The mathematical model of the rotor-bearing system incorporates nonlinearity due to the geometric coupling of the magnetic actuators as well as that arising from the magnetic actuator forces that are nonlinear function of the coil current and the air gap between the rotor and the stator. The influence of the rotor's static misalignment, represented by the gravity parameter, W, on its response was found to be dependent on the magnitude of the geometric coupling parameter, ?. Numerical results showed that for ? = 0, the response of the rotor was always synchronous regardless of the values of W. For moderate values of ?, nonsynchronous vibration was seen in the response of the rotor for the case of W ? 0. For large values of ?, nonsynchronous vibration was observed in the response of the rotor irrespective of the values of W. For the values of design and operating parameters of the rotor-bearing system investigated in this work, the response of the rotor displayed a rich variety of nonlinear dynamical phenomena including sub-synchronous vibrations of period-2, -3, -4, -6, -8, -12, -14 and -16, quasi-periodicity and chaos. Numerical results further revealed the existence of multiple attractors within certain ranges of the speed parameter, ?. Co-existence of attractors has serious implications on the safe operation of magnetically supported rotating machinery as synchronous response of the rotor may become nonsynchronous or even chaotic when excited by external forces that cause the rotor's position to move from one basin of attraction to another. � 2009 Elsevier B.V. All rights reserved.en_US
dc.description.natureFinalen_US
dc.identifier.doi10.1016/j.cnsns.2009.04.020
dc.identifier.epage777
dc.identifier.issue3
dc.identifier.scopus2-s2.0-70349814617
dc.identifier.spage764
dc.identifier.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-70349814617&doi=10.1016%2fj.cnsns.2009.04.020&partnerID=40&md5=e665e1d0a83b54f8470fd38b577e49e3
dc.identifier.urihttps://irepository.uniten.edu.my/handle/123456789/30655
dc.identifier.volume15
dc.pagecount13
dc.sourceScopus
dc.sourcetitleCommunications in Nonlinear Science and Numerical Simulation
dc.subjectActive magnetic bearings
dc.subjectBifurcation
dc.subjectChaos
dc.subjectNonlinear
dc.subjectRotordynamics
dc.subjectActuators
dc.subjectBearings (structural)
dc.subjectBifurcation (mathematics)
dc.subjectChaos theory
dc.subjectDynamical systems
dc.subjectFunctions
dc.subjectMachinery
dc.subjectMagnetic amplifiers
dc.subjectMagnetic bearings
dc.subjectMagnetism
dc.subjectMathematical models
dc.subjectSynchronous machinery
dc.subjectActive magnetic bearings
dc.subjectBifurcation
dc.subjectChaos
dc.subjectNonlinear
dc.subjectRotordynamics
dc.subjectMagnetic materials
dc.titleNonlinear dynamics of a statically misaligned flexible rotor in active magnetic bearingsen_US
dc.typeArticleen_US
dspace.entity.typePublication
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