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Article: Non-linear vibration analysis of multilayer beams by incremental finite elements, Part I: Theory and numerical formulation

TitleNon-linear vibration analysis of multilayer beams by incremental finite elements, Part I: Theory and numerical formulation
Authors
Issue Date1985
PublisherElsevier Ltd. The Journal's web site is located at http://www.elsevier.com/locate/jsvi
Citation
Journal Of Sound And Vibration, 1985, v. 100 n. 3, p. 359-372 How to Cite?
AbstractAn incremental variational equation for non-linear motions of multilayer beams composed of n stiff layers and (n - 1) soft cores is derived from the dynamic virtual work equation by an appropriate integration procedure. The kinematical hypotheses of Euler-Bernoulli and Timoshenko beam theories are used to describe the displacement fields of the stiff layers and cores respectively. An efficient solution procedure of incremental harmonic balance method type, with use of finite elements, is developed. To demonstrate its capability, some problems in free non-linear vibrations of multilayer beams are treated by using the procedure. Results are compared with those available in the literature. The effects of damping are also included in this investigation but are described in Part II [1] of this paper in which a number of undamped and damped forced non-linear vibration problems are studied. Results in the form of tables and plots are also presented and comparisons are made with those available in the literature. © 1985.
Persistent Identifierhttp://hdl.handle.net/10722/149876
ISSN
2023 Impact Factor: 4.3
2023 SCImago Journal Rankings: 1.225
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorIu, VPen_US
dc.contributor.authorCheung, YKen_US
dc.contributor.authorLau, SLen_US
dc.date.accessioned2012-06-26T06:00:17Z-
dc.date.available2012-06-26T06:00:17Z-
dc.date.issued1985en_US
dc.identifier.citationJournal Of Sound And Vibration, 1985, v. 100 n. 3, p. 359-372en_US
dc.identifier.issn0022-460Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/149876-
dc.description.abstractAn incremental variational equation for non-linear motions of multilayer beams composed of n stiff layers and (n - 1) soft cores is derived from the dynamic virtual work equation by an appropriate integration procedure. The kinematical hypotheses of Euler-Bernoulli and Timoshenko beam theories are used to describe the displacement fields of the stiff layers and cores respectively. An efficient solution procedure of incremental harmonic balance method type, with use of finite elements, is developed. To demonstrate its capability, some problems in free non-linear vibrations of multilayer beams are treated by using the procedure. Results are compared with those available in the literature. The effects of damping are also included in this investigation but are described in Part II [1] of this paper in which a number of undamped and damped forced non-linear vibration problems are studied. Results in the form of tables and plots are also presented and comparisons are made with those available in the literature. © 1985.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.titleNon-linear vibration analysis of multilayer beams by incremental finite elements, Part I: Theory and numerical formulationen_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-s2.0-0022421235en_US
dc.identifier.volume100en_US
dc.identifier.issue3en_US
dc.identifier.spage359en_US
dc.identifier.epage372en_US
dc.identifier.isiWOS:A1985AQG1600005-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridIu, VP=36976657600en_US
dc.identifier.scopusauthoridCheung, YK=7202111065en_US
dc.identifier.scopusauthoridLau, SL=7401596228en_US
dc.identifier.issnl0022-460X-

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