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Article: 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
Huang, JLChen, SHSu, RKLLee, YY
KeywordsAxially Moving Beam
Floquet Theory
IHB Method
Internal Resonance
Nonlinear Vibration
Numerical Integration
Stability
Issue Date2011
PublisherTaylor & Francis Inc. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/15376494.asp
Citation
Mechanics of Advanced Materials And Structures, 2011, v. 18 n. 8, p. 611-616 How to Cite?
DOI: http://dx.doi.org/10.1080/15376494.2011.621845
AbstractThis article analyzes nonlinear vibration of an axially moving beam subject to periodic lateral forces. The governing equation of the beam vibration is developed using Hamilton's Principle. The stable and unstable periodic solutions are obtained by employing the multivariable Floquet theory and incremental harmonic balance (IHB) method. In the solution procedure, 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. © 2011 Copyright Taylor and Francis Group, LLC.
Persistent Identifierhttp://hdl.handle.net/10722/150656
ISSN
1537-6494
2021 Impact Factor: 3.338
2020 SCImago Journal Rankings: 0.732
ISI Accession Number ID
WOS:000297250100009
Funding AgencyGrant Number
National Natural Science Foundation of China10672193
11002164
Fundamental Research Funds for the Central Universities111gpy51
Funding Information:

Financial supports from the National Natural Science Foundation of China (10672193, 11002164) and the Fundamental Research Funds for the Central Universities (111gpy51) are gratefully acknowledged.

References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorHuang, JLen_US
dc.contributor.authorChen, SHen_US
dc.contributor.authorSu, RKLen_US
dc.contributor.authorLee, YYen_US
dc.date.accessioned2012-06-26T06:06:30Z-
dc.date.available2012-06-26T06:06:30Z-
dc.date.issued2011en_US
dc.identifier.citationMechanics of Advanced Materials And Structures, 2011, v. 18 n. 8, p. 611-616en_US
dc.identifier.issn1537-6494en_US
dc.identifier.urihttp://hdl.handle.net/10722/150656-
dc.description.abstractThis article analyzes nonlinear vibration of an axially moving beam subject to periodic lateral forces. The governing equation of the beam vibration is developed using Hamilton's Principle. The stable and unstable periodic solutions are obtained by employing the multivariable Floquet theory and incremental harmonic balance (IHB) method. In the solution procedure, 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. © 2011 Copyright Taylor and Francis Group, LLC.en_US
dc.languageengen_US
dc.publisherTaylor & Francis Inc. The Journal's web site is located at http://www.tandf.co.uk/journals/titles/15376494.aspen_US
dc.relation.ispartofMechanics of Advanced Materials and Structuresen_US
dc.subjectAxially Moving Beamen_US
dc.subjectFloquet Theoryen_US
dc.subjectIHB Methoden_US
dc.subjectInternal Resonanceen_US
dc.subjectNonlinear Vibrationen_US
dc.subjectNumerical Integrationen_US
dc.subjectStabilityen_US
dc.titleNonlinear analysis of forced responses of an axially moving beam by incremental harmonic balance methoden_US
dc.typeArticleen_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.doi10.1080/15376494.2011.621845en_US
dc.identifier.scopuseid_2-s2.0-84863179749-
dc.identifier.hkuros212877-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-84857265944&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume18en_US
dc.identifier.issue8en_US
dc.identifier.spage611en_US
dc.identifier.epage616en_US
dc.identifier.isiWOS:000297250100009-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridHuang, JL=55016001900en_US
dc.identifier.scopusauthoridChen, SH=55008158700en_US
dc.identifier.scopusauthoridSu, RKL=7102627096en_US
dc.identifier.scopusauthoridLee, YY=55007934300en_US
dc.identifier.issnl1537-6494-

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