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Article: Nonlinear vibration of thin elastic plates. Part 1: Generalized incremental Hamilton's principle and element formulation

TitleNonlinear vibration of thin elastic plates. Part 1: Generalized incremental Hamilton's principle and element formulation
Authors
Issue Date1984
PublisherASME International. The Journal's web site is located at http://asmedl.aip.org/AppliedMechanics
Citation
Journal of Applied Mechanics, 1984, v. 51 n. 4, p. 837-844 How to Cite?
AbstractThis principle is particularly suitable for the formulation of finite elements and finite strips in geometrically nonlinear plate problems due to the fact that the nonlinear parts of inplane stress resultants are functions subject to variation and that the Kirchhoff assumption is included as part of its Euler equations. Following a general formulation method, a simple triangular incremental modified Discrete Kirchhoff Theory (DKT) plate element with 15 stretching and bending nodal displacements is derived. The accuracy of this element is demonstrated via some typical examples of nonlinear bending and frequency repsonse of free vibrations. Comparisons with previous results are also made.
Persistent Identifierhttp://hdl.handle.net/10722/149864
ISSN
2015 Impact Factor: 1.394
2015 SCImago Journal Rankings: 0.630

 

DC FieldValueLanguage
dc.contributor.authorLau, SLen_US
dc.contributor.authorCheung, YKen_US
dc.contributor.authorWu, SYen_US
dc.date.accessioned2012-06-26T06:00:13Z-
dc.date.available2012-06-26T06:00:13Z-
dc.date.issued1984en_US
dc.identifier.citationJournal of Applied Mechanics, 1984, v. 51 n. 4, p. 837-844en_US
dc.identifier.issn0021-8936en_US
dc.identifier.urihttp://hdl.handle.net/10722/149864-
dc.description.abstractThis principle is particularly suitable for the formulation of finite elements and finite strips in geometrically nonlinear plate problems due to the fact that the nonlinear parts of inplane stress resultants are functions subject to variation and that the Kirchhoff assumption is included as part of its Euler equations. Following a general formulation method, a simple triangular incremental modified Discrete Kirchhoff Theory (DKT) plate element with 15 stretching and bending nodal displacements is derived. The accuracy of this element is demonstrated via some typical examples of nonlinear bending and frequency repsonse of free vibrations. Comparisons with previous results are also made.en_US
dc.languageengen_US
dc.publisherASME International. The Journal's web site is located at http://asmedl.aip.org/AppliedMechanicsen_US
dc.relation.ispartofJournal of Applied Mechanicsen_US
dc.titleNonlinear vibration of thin elastic plates. Part 1: Generalized incremental Hamilton's principle and element 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-s2.0-0021626217en_US
dc.identifier.volume51en_US
dc.identifier.issue4en_US
dc.identifier.spage837en_US
dc.identifier.epage844en_US
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridLau, SL=7401596228en_US
dc.identifier.scopusauthoridCheung, YK=7202111065en_US
dc.identifier.scopusauthoridWu, SY=7407184740en_US

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