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Article: Stability and bifurcation of an axially moving beam tuned to three-to-one internal resonances

TitleStability and bifurcation of an axially moving beam tuned to three-to-one internal resonances
Authors
Issue Date2011
PublisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvi
Citation
Journal Of Sound And Vibration, 2011, v. 330 n. 3, p. 471-485 How to Cite?
AbstractThis study analyzed the nonlinear vibration of an axially moving beam subject to periodic lateral force excitations. Attention is paid to the fundamental and subharmonic resonances, since the excitation frequency is close to the first two natural frequencies of the system. The incremental harmonic balance (IHB) method was used to evaluate the nonlinear dynamic behaviour of the axially moving beam. The stability and bifurcations of the periodic solutions for given parameters were determined by the multivariable Floquet theory using Hsu's method. The solutions obtained from the IHB method agreed very well with those obtained from numerical integration. Furthermore, numerical examples are given to illustrate the effects of the three-to-one internal resonance on the response of the system. © 2010 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/150535
ISSN
2015 Impact Factor: 2.107
2015 SCImago Journal Rankings: 1.494
ISI Accession Number ID
Funding AgencyGrant Number
National Natural Science Foundation of China11002164
10972240
Research Grants Council of Hong Kong SARHKU7102/08E
Funding Information:

Financial supports from the National Natural Science Foundation of China (11002164 and 10972240) and Research Grants Council of Hong Kong SAR (Project no. HKU7102/08E) are gratefully acknowledged.

References

 

DC FieldValueLanguage
dc.contributor.authorHuang, JLen_US
dc.contributor.authorSu, RKLen_US
dc.contributor.authorLi, WHen_US
dc.contributor.authorChen, SHen_US
dc.date.accessioned2012-06-26T06:05:32Z-
dc.date.available2012-06-26T06:05:32Z-
dc.date.issued2011en_US
dc.identifier.citationJournal Of Sound And Vibration, 2011, v. 330 n. 3, p. 471-485en_US
dc.identifier.issn0022-460Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/150535-
dc.description.abstractThis study analyzed the nonlinear vibration of an axially moving beam subject to periodic lateral force excitations. Attention is paid to the fundamental and subharmonic resonances, since the excitation frequency is close to the first two natural frequencies of the system. The incremental harmonic balance (IHB) method was used to evaluate the nonlinear dynamic behaviour of the axially moving beam. The stability and bifurcations of the periodic solutions for given parameters were determined by the multivariable Floquet theory using Hsu's method. The solutions obtained from the IHB method agreed very well with those obtained from numerical integration. Furthermore, numerical examples are given to illustrate the effects of the three-to-one internal resonance on the response of the system. © 2010 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.titleStability and bifurcation of an axially moving beam tuned to three-to-one internal resonancesen_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.doi10.1016/j.jsv.2010.04.037en_US
dc.identifier.scopuseid_2-s2.0-78049473469en_US
dc.identifier.hkuros212876-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-78049473469&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume330en_US
dc.identifier.issue3en_US
dc.identifier.spage471en_US
dc.identifier.epage485en_US
dc.identifier.isiWOS:000284673300009-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridHuang, JL=34968188300en_US
dc.identifier.scopusauthoridSu, RKL=7102627096en_US
dc.identifier.scopusauthoridLi, WH=36910742500en_US
dc.identifier.scopusauthoridChen, SH=13303161800en_US
dc.identifier.citeulike7859172-

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