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Article: Multidimensional Lindstedt-Poincaré method for nonlinear vibration of axially moving beams

TitleMultidimensional Lindstedt-Poincaré method for nonlinear vibration of axially moving beams
Authors
Chen, SHHuang, JLSze, KY
Issue Date2007
PublisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvi
Citation
Journal Of Sound And Vibration, 2007, v. 306 n. 1-2, p. 1-11 How to Cite?
DOI: http://dx.doi.org/10.1016/j.jsv.2007.05.038
AbstractThe multidimensional Lindstedt-Poincaré (MDLP) method is extended to the nonlinear vibration analysis of axially moving systems. Galerkin method is used to discretize the governing equations. The forced response of an axially moving beam with internal resonance between the first two transverse modes is studied. The fundamental harmonic resonance is studied. The response curves exhibit the same internal resonance characteristics as that of non-transferring thin plates and beams because all these systems possess cubic nonlinearity and similar frequency distribution. The examples show that the results of the MDLP method agree reasonably well with that obtained by the incremental harmonic balance (IHB) method. However, the former is more straightforward and efficient for obtaining the solution. © 2007 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/156902
ISSN
0022-460X
2023 Impact Factor: 4.3
2023 SCImago Journal Rankings: 1.225
ISI Accession Number ID
WOS:000248719000001
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorChen, SHen_US
dc.contributor.authorHuang, JLen_US
dc.contributor.authorSze, KYen_US
dc.date.accessioned2012-08-08T08:44:29Z-
dc.date.available2012-08-08T08:44:29Z-
dc.date.issued2007en_US
dc.identifier.citationJournal Of Sound And Vibration, 2007, v. 306 n. 1-2, p. 1-11en_US
dc.identifier.issn0022-460Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/156902-
dc.description.abstractThe multidimensional Lindstedt-Poincaré (MDLP) method is extended to the nonlinear vibration analysis of axially moving systems. Galerkin method is used to discretize the governing equations. The forced response of an axially moving beam with internal resonance between the first two transverse modes is studied. The fundamental harmonic resonance is studied. The response curves exhibit the same internal resonance characteristics as that of non-transferring thin plates and beams because all these systems possess cubic nonlinearity and similar frequency distribution. The examples show that the results of the MDLP method agree reasonably well with that obtained by the incremental harmonic balance (IHB) method. However, the former is more straightforward and efficient for obtaining the solution. © 2007 Elsevier Ltd. All rights reserved.en_US
dc.languageengen_US
dc.publisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvien_US
dc.relation.ispartofJournal of Sound and Vibrationen_US
dc.titleMultidimensional Lindstedt-Poincaré method for nonlinear vibration of axially moving beamsen_US
dc.typeArticleen_US
dc.identifier.emailSze, KY:szeky@graduate.hku.hken_US
dc.identifier.authoritySze, KY=rp00171en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1016/j.jsv.2007.05.038en_US
dc.identifier.scopuseid_2-s2.0-34447517040en_US
dc.identifier.hkuros148419-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-34447517040&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume306en_US
dc.identifier.issue1-2en_US
dc.identifier.spage1en_US
dc.identifier.epage11en_US
dc.identifier.isiWOS:000248719000001-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridChen, SH=13303161800en_US
dc.identifier.scopusauthoridHuang, JL=34968188300en_US
dc.identifier.scopusauthoridSze, KY=7006735060en_US
dc.identifier.issnl0022-460X-

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