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Article: A family of rectangular bending elements

TitleA family of rectangular bending elements
Authors
Issue Date1979
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/compstruc
Citation
Computers And Structures, 1979, v. 10 n. 4, p. 613-619 How to Cite?
AbstractBy using separate independent transverse and rotational displacement variables in terms of a polynomial it is possible to produce high order conforming elements for plate bending and, at the same time, to include the effect of shear deformation in the analysis. The procedure for constructing a family of conforming rectangular plate bending elements with any number of nodes and the derivation of the stiffness matrix are illustrated. A computer programme is developed to generate the stiffness coefficients of the elements in this family; whereupon the characteristics of elements with as many as 17, 21 or 25 nodes and so on can be investigated. It is demonstrated that accurate results can be obtained for thin and moderately thick plates with various boundary conditions under bending by using just one or a few high order elements in this family. Hence the procedure for solving a problem in plate bending can be much simplified and the total number of nodes in a problem can be much reduced. Highlight in this family is the 17-node element which yields good results without involving too many nodes for many plate bending problems. © 1979.
Persistent Identifierhttp://hdl.handle.net/10722/149831
ISSN
2023 Impact Factor: 4.4
2023 SCImago Journal Rankings: 1.274
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorCheung, YKen_US
dc.contributor.authorChan, HCen_US
dc.date.accessioned2012-06-26T06:00:01Z-
dc.date.available2012-06-26T06:00:01Z-
dc.date.issued1979en_US
dc.identifier.citationComputers And Structures, 1979, v. 10 n. 4, p. 613-619en_US
dc.identifier.issn0045-7949en_US
dc.identifier.urihttp://hdl.handle.net/10722/149831-
dc.description.abstractBy using separate independent transverse and rotational displacement variables in terms of a polynomial it is possible to produce high order conforming elements for plate bending and, at the same time, to include the effect of shear deformation in the analysis. The procedure for constructing a family of conforming rectangular plate bending elements with any number of nodes and the derivation of the stiffness matrix are illustrated. A computer programme is developed to generate the stiffness coefficients of the elements in this family; whereupon the characteristics of elements with as many as 17, 21 or 25 nodes and so on can be investigated. It is demonstrated that accurate results can be obtained for thin and moderately thick plates with various boundary conditions under bending by using just one or a few high order elements in this family. Hence the procedure for solving a problem in plate bending can be much simplified and the total number of nodes in a problem can be much reduced. Highlight in this family is the 17-node element which yields good results without involving too many nodes for many plate bending problems. © 1979.en_US
dc.languageengen_US
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/compstrucen_US
dc.relation.ispartofComputers and Structuresen_US
dc.titleA family of rectangular bending elementsen_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-s2.0-0018503830en_US
dc.identifier.volume10en_US
dc.identifier.issue4en_US
dc.identifier.spage613en_US
dc.identifier.epage619en_US
dc.identifier.isiWOS:A1979GW87400005-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridCheung, YK=7202111065en_US
dc.identifier.scopusauthoridChan, HC=7403402425en_US
dc.identifier.issnl0045-7949-

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