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Article: Alternative perturbation procedure of multiple scales for nonlinear dynamics systems

TitleAlternative perturbation procedure of multiple scales for nonlinear dynamics systems
Authors
Issue Date1989
PublisherA S M E International. The Journal's web site is located at http://asmedl.aip.org/AppliedMechanics
Citation
Journal Of Applied Mechanics, Transactions Asme, 1989, v. 56 n. 3, p. 667-675 How to Cite?
AbstractAn alternative perturbation procedure of multiple scales is presented in this paper which is capable of treating various periodic and almost periodic steady-state vibrations including combination resonance of nonlinear systems with multiple degrees-of-freedom. This procedure is a generalization of the Lindstedt-Poincare method. To show its essential features a typical example of cubic nonlinear systems, the clamped-hinged beam, is analyzed. The numerical results for the almost periodic-free vibration are surprisingly close to that obtained by the incremental harmonic balance (IHB) method.
Persistent Identifierhttp://hdl.handle.net/10722/149922
ISSN
2015 Impact Factor: 1.394
2015 SCImago Journal Rankings: 0.630

 

DC FieldValueLanguage
dc.contributor.authorLau, SLen_US
dc.contributor.authorCheung, YKen_US
dc.contributor.authorChen, Shuhuien_US
dc.date.accessioned2012-06-26T06:00:34Z-
dc.date.available2012-06-26T06:00:34Z-
dc.date.issued1989en_US
dc.identifier.citationJournal Of Applied Mechanics, Transactions Asme, 1989, v. 56 n. 3, p. 667-675en_US
dc.identifier.issn0021-8936en_US
dc.identifier.urihttp://hdl.handle.net/10722/149922-
dc.description.abstractAn alternative perturbation procedure of multiple scales is presented in this paper which is capable of treating various periodic and almost periodic steady-state vibrations including combination resonance of nonlinear systems with multiple degrees-of-freedom. This procedure is a generalization of the Lindstedt-Poincare method. To show its essential features a typical example of cubic nonlinear systems, the clamped-hinged beam, is analyzed. The numerical results for the almost periodic-free vibration are surprisingly close to that obtained by the incremental harmonic balance (IHB) method.en_US
dc.languageengen_US
dc.publisherA S M E International. The Journal's web site is located at http://asmedl.aip.org/AppliedMechanicsen_US
dc.relation.ispartofJournal of Applied Mechanics, Transactions ASMEen_US
dc.titleAlternative perturbation procedure of multiple scales for nonlinear dynamics systemsen_US
dc.typeArticleen_US
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_US
dc.identifier.authorityCheung, YK=rp00104en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0024736849en_US
dc.identifier.volume56en_US
dc.identifier.issue3en_US
dc.identifier.spage667en_US
dc.identifier.epage675en_US
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridLau, SL=7401596228en_US
dc.identifier.scopusauthoridCheung, YK=7202111065en_US
dc.identifier.scopusauthoridChen, Shuhui=13303161800en_US

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