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Article: Nonlinear vibration of a curved beam under uniform base harmonic excitation with quadratic and cubic nonlinearities

TitleNonlinear vibration of a curved beam under uniform base harmonic excitation with quadratic and cubic nonlinearities
Authors
KeywordsAnti-symmetric
Cubic nonlinearities
Curved beams
Excitation frequency
Floquet theory
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. 21, p. 5151-5164 How to Cite?
AbstractThis paper presents nonlinear vibration analysis of a curved beam subject to uniform base harmonic excitation with both quadratic and cubic nonlinearities. The Galerkin method is employed to discretize the governing equations. A high-dimensional model that can take nonlinear model coupling into account is derived, and the incremental harmonic balance (IHB) method is employed to obtain the steady-state response of the curved beam. The cases investigated include softening stiffness, hardening stiffness and modal energy transfer. The stability of the periodic solutions for given parameters is determined by the multi-variable Floquet theory using Hsus method. Particular attention is paid to the anti-symmetric response with and without excitation, as the excitation frequency is close to the first and third natural frequencies of the system. The results obtained with the IHB method compare very well with those obtained via numerical integration. © 2011 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/145880
ISSN
2015 Impact Factor: 2.107
2015 SCImago Journal Rankings: 1.494
ISI Accession Number ID
Funding AgencyGrant Number
National Natural Science Foundation of China1,09,72,240
1,10,02,164
Research Grants Council of Hong Kong SARHKU7102/08E
Funding Information:

Financial support from the National Natural Science Foundation of China (1,09,72,240, 1,10,02,164) and the Research Grants Council of Hong Kong SAR (Project no. HKU7102/08E) is gratefully acknowledged.

References

 

DC FieldValueLanguage
dc.contributor.authorHuang, JLen_HK
dc.contributor.authorSu, RKLen_HK
dc.contributor.authorLee, YYen_HK
dc.contributor.authorChen, SHen_HK
dc.date.accessioned2012-03-27T08:58:17Z-
dc.date.available2012-03-27T08:58:17Z-
dc.date.issued2011en_HK
dc.identifier.citationJournal Of Sound And Vibration, 2011, v. 330 n. 21, p. 5151-5164en_HK
dc.identifier.issn0022-460Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/145880-
dc.description.abstractThis paper presents nonlinear vibration analysis of a curved beam subject to uniform base harmonic excitation with both quadratic and cubic nonlinearities. The Galerkin method is employed to discretize the governing equations. A high-dimensional model that can take nonlinear model coupling into account is derived, and the incremental harmonic balance (IHB) method is employed to obtain the steady-state response of the curved beam. The cases investigated include softening stiffness, hardening stiffness and modal energy transfer. The stability of the periodic solutions for given parameters is determined by the multi-variable Floquet theory using Hsus method. Particular attention is paid to the anti-symmetric response with and without excitation, as the excitation frequency is close to the first and third natural frequencies of the system. The results obtained with the IHB method compare very well with those obtained via numerical integration. © 2011 Elsevier Ltd. All rights reserved.en_HK
dc.languageengen_US
dc.publisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvien_HK
dc.relation.ispartofJournal of Sound and Vibrationen_HK
dc.subjectAnti-symmetric-
dc.subjectCubic nonlinearities-
dc.subjectCurved beams-
dc.subjectExcitation frequency-
dc.subjectFloquet theory-
dc.titleNonlinear vibration of a curved beam under uniform base harmonic excitation with quadratic and cubic nonlinearitiesen_HK
dc.typeArticleen_HK
dc.identifier.emailSu, RKL:klsu@hkucc.hku.hken_HK
dc.identifier.authoritySu, RKL=rp00072en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.jsv.2011.05.023en_HK
dc.identifier.scopuseid_2-s2.0-79960566307en_HK
dc.identifier.hkuros199007en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-79960566307&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume330en_HK
dc.identifier.issue21en_HK
dc.identifier.spage5151en_HK
dc.identifier.epage5164en_HK
dc.identifier.isiWOS:000293725500014-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridHuang, JL=34968188300en_HK
dc.identifier.scopusauthoridSu, RKL=7102627096en_HK
dc.identifier.scopusauthoridLee, YY=24465249400en_HK
dc.identifier.scopusauthoridChen, SH=7410252470en_HK
dc.identifier.citeulike9509308-

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