Identifying the shapes of coupled vibrations and deriving reduced order models for nonlinear shafts: A finite element-roper Orthogonal Decomposition approach

Georgiou, IT; Bani-Khaled, MA

dc.contributor.author	Georgiou, IT	en
dc.contributor.author	Bani-Khaled, MA	en
dc.date.accessioned	2014-03-01T02:49:46Z
dc.date.available	2014-03-01T02:49:46Z
dc.date.issued	2004	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/34737
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-19744379223&partnerID=40&md5=c6e4388ad74a408ecff47ad00db3e1a2	en
dc.subject.other	Deformation	en
dc.subject.other	Degrees of freedom (mechanics)	en
dc.subject.other	Elastic moduli	en
dc.subject.other	Finite element method	en
dc.subject.other	Mathematical models	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Rotation	en
dc.subject.other	Vectors	en
dc.subject.other	Vibrations (mechanical)	en
dc.subject.other	Proper orthogonal decomposition (POD)	en
dc.subject.other	Proper orthonormal modes (POM)	en
dc.subject.other	Transverse displacements	en
dc.subject.other	Vector fields	en
dc.subject.other	Shafts (machine components)	en
dc.title	Identifying the shapes of coupled vibrations and deriving reduced order models for nonlinear shafts: A finite element-roper Orthogonal Decomposition approach	en
heal.type	conferenceItem	en
heal.publicationDate	2004	en
heal.abstract	The spatial structure of the dynamics of a rotating nonlinear shaft is identified by processing its finite element dynamics by the method of Proper Orthogonal Decompositions. The Proper Orthogonal modes furnish characteristic signatures for the rigid body and the whirling modes of a motion. The pattern of energy distribution over the components of a mode reveals the strength of coupling between rigid body rotations and coupled vibrations. These modes are used to derive a two-degree-of freedom reduced model for the whirling motion of the rotating shaft. Copyright © 2004 by ASME.	en
heal.journalName	American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) DSC	en
dc.identifier.volume	73	en
dc.identifier.issue	2 PART B	en
dc.identifier.spage	877	en
dc.identifier.epage	885	en