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Conference Paper: Nonlinear analysis of forced responses of an axially moving beam by incremental harmonic balance method

TitleNonlinear analysis of forced responses of an axially moving beam by incremental harmonic balance method
Authors
KeywordsAn Axially Moving Beam
Ihb Method
Internal Resonance
Nonlinear Vibration
Stability
Issue Date2010
Citation
Aip Conference Proceedings, 2010, v. 1233 PART 1, p. 941-946 How to Cite?
AbstractThis paper analyzes nonlinear vibration of an axially moving beam subject to periodic lateral forces by Incremental Harmonic Balance (IHB) method. Attention is paid to the fundamental resonance as the force frequency is close to the first frequencies ω1 of the system. Galerkin method is used to discretize the governing equations and the IHB method is used to illustrate the nonlinear dynamic behavior of the axially moving beam. The stable and unstable periodic solutions for given parameters are determined by the multivariable Floquet theory. Hsu's method is applied for computing the transition matrix at the end of one period. The effects of internal resonance on the beam responses are discussed. The periodic solutions obtained from the IHB method are in good agreement with the results obtained from numerical integration. © 2010 American Institute of Physics.
Persistent Identifierhttp://hdl.handle.net/10722/152164
ISSN
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorHuang, JLen_US
dc.contributor.authorChen, SHen_US
dc.contributor.authorSu, RKLen_US
dc.contributor.authorLee, YYen_US
dc.date.accessioned2012-06-26T06:35:44Z-
dc.date.available2012-06-26T06:35:44Z-
dc.date.issued2010en_US
dc.identifier.citationAip Conference Proceedings, 2010, v. 1233 PART 1, p. 941-946en_US
dc.identifier.issn0094-243Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/152164-
dc.description.abstractThis paper analyzes nonlinear vibration of an axially moving beam subject to periodic lateral forces by Incremental Harmonic Balance (IHB) method. Attention is paid to the fundamental resonance as the force frequency is close to the first frequencies ω1 of the system. Galerkin method is used to discretize the governing equations and the IHB method is used to illustrate the nonlinear dynamic behavior of the axially moving beam. The stable and unstable periodic solutions for given parameters are determined by the multivariable Floquet theory. Hsu's method is applied for computing the transition matrix at the end of one period. The effects of internal resonance on the beam responses are discussed. The periodic solutions obtained from the IHB method are in good agreement with the results obtained from numerical integration. © 2010 American Institute of Physics.en_US
dc.languageengen_US
dc.relation.ispartofAIP Conference Proceedingsen_US
dc.subjectAn Axially Moving Beamen_US
dc.subjectIhb Methoden_US
dc.subjectInternal Resonanceen_US
dc.subjectNonlinear Vibrationen_US
dc.subjectStabilityen_US
dc.titleNonlinear analysis of forced responses of an axially moving beam by incremental harmonic balance methoden_US
dc.typeConference_Paperen_US
dc.identifier.emailSu, RKL:klsu@hkucc.hku.hken_US
dc.identifier.authoritySu, RKL=rp00072en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1063/1.3452306en_US
dc.identifier.scopuseid_2-s2.0-77955749892en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-77955749892&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume1233en_US
dc.identifier.issuePART 1en_US
dc.identifier.spage941en_US
dc.identifier.epage946en_US
dc.identifier.isiWOS:000283003800161-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridHuang, JL=34968188300en_US
dc.identifier.scopusauthoridChen, SH=13303161800en_US
dc.identifier.scopusauthoridSu, RKL=7102627096en_US
dc.identifier.scopusauthoridLee, YY=24465249400en_US

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