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Article: Spline finite elements for beam and plate

TitleSpline finite elements for beam and plate
Authors
Issue Date1990
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/compstruc
Citation
Computers And Structures, 1990, v. 37 n. 5, p. 717-729 How to Cite?
AbstractThe choice of B3-spline functions as displacement functions for beams and plates has many advantages. However, it suffers from the fact that some spline parameters are located outside the element thus making the assembly of elements and the introduction of boundary conditions difficult. Beam and plate finite elements formed by B3-splines are developed in general finite element context. By means of boundary transformation, the spline functions are expressed in terms of physical coordinates at the boundary resulting in the required shape functions. The stiffness matrix, mass matrix and load vector of an element can similarly be related to the physical coordinates. The results converge to the exact solutions in a faster rate than the conventional finite elements using the same number of coordinates. A number of examples are given for demonstration. © 1990.
Persistent Identifierhttp://hdl.handle.net/10722/149947
ISSN
2015 Impact Factor: 2.425
2015 SCImago Journal Rankings: 1.710

 

DC FieldValueLanguage
dc.contributor.authorLeung, AYTen_US
dc.contributor.authorAu, FTKen_US
dc.date.accessioned2012-06-26T06:00:43Z-
dc.date.available2012-06-26T06:00:43Z-
dc.date.issued1990en_US
dc.identifier.citationComputers And Structures, 1990, v. 37 n. 5, p. 717-729en_US
dc.identifier.issn0045-7949en_US
dc.identifier.urihttp://hdl.handle.net/10722/149947-
dc.description.abstractThe choice of B3-spline functions as displacement functions for beams and plates has many advantages. However, it suffers from the fact that some spline parameters are located outside the element thus making the assembly of elements and the introduction of boundary conditions difficult. Beam and plate finite elements formed by B3-splines are developed in general finite element context. By means of boundary transformation, the spline functions are expressed in terms of physical coordinates at the boundary resulting in the required shape functions. The stiffness matrix, mass matrix and load vector of an element can similarly be related to the physical coordinates. The results converge to the exact solutions in a faster rate than the conventional finite elements using the same number of coordinates. A number of examples are given for demonstration. © 1990.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.titleSpline finite elements for beam and plateen_US
dc.typeArticleen_US
dc.identifier.emailAu, FTK:francis.au@hku.hken_US
dc.identifier.authorityAu, FTK=rp00083en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0025638394en_US
dc.identifier.volume37en_US
dc.identifier.issue5en_US
dc.identifier.spage717en_US
dc.identifier.epage729en_US
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridLeung, AYT=7403012564en_US
dc.identifier.scopusauthoridAu, FTK=7005204072en_US

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