File Download

There are no files associated with this item.

  Links for fulltext
     (May Require Subscription)
Supplementary

Article: Numerical convergence of simple and orthogonal polynomials for the unilateral plate buckling problem using the Rayleigh-Ritz method

TitleNumerical convergence of simple and orthogonal polynomials for the unilateral plate buckling problem using the Rayleigh-Ritz method
Authors
KeywordsBilateral Buckling
Contact Problems
Elasticity
Polynomials
Rayleigh-Ritz Method
Unilateral Buckling
Unilateral Restraint
Issue Date1999
PublisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1430
Citation
International Journal For Numerical Methods In Engineering, 1999, v. 44 n. 11, p. 1685-1707 How to Cite?
AbstractUnilateral buckling is a contact problem whereby buckling is confined to take place in only one lateral direction. For plate structures, this can occur when a thin steel plate is juxtaposed with a rigid concrete medium and the steel may only buckle locally away from the concrete core. This paper investigates the use of simple and orthogonal polynomials in the Rayleigh-Ritz method for unilateral plate buckling. The orthogonal polynomials used are the classical Chebyshev types 1 and 2, Legrende, Hermite and Laguerre. The study presents a comparison between the efficiency of the polynomial-based displacement functions with regard to elastic bilateral and unilateral plate buckling, where efficiency is measured as a function of their convergence characteristics. Some buckling solutions for plates with varying boundary conditions and in-plane shear loads are also provided as an illustration. Copyright © 1999 John Wiley & Sons, Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/150241
ISSN
2015 Impact Factor: 2.1
2015 SCImago Journal Rankings: 2.007
References

 

DC FieldValueLanguage
dc.contributor.authorSmith, STen_US
dc.contributor.authorBradford, MAen_US
dc.contributor.authorOehlers, DJen_US
dc.date.accessioned2012-06-26T06:02:40Z-
dc.date.available2012-06-26T06:02:40Z-
dc.date.issued1999en_US
dc.identifier.citationInternational Journal For Numerical Methods In Engineering, 1999, v. 44 n. 11, p. 1685-1707en_US
dc.identifier.issn0029-5981en_US
dc.identifier.urihttp://hdl.handle.net/10722/150241-
dc.description.abstractUnilateral buckling is a contact problem whereby buckling is confined to take place in only one lateral direction. For plate structures, this can occur when a thin steel plate is juxtaposed with a rigid concrete medium and the steel may only buckle locally away from the concrete core. This paper investigates the use of simple and orthogonal polynomials in the Rayleigh-Ritz method for unilateral plate buckling. The orthogonal polynomials used are the classical Chebyshev types 1 and 2, Legrende, Hermite and Laguerre. The study presents a comparison between the efficiency of the polynomial-based displacement functions with regard to elastic bilateral and unilateral plate buckling, where efficiency is measured as a function of their convergence characteristics. Some buckling solutions for plates with varying boundary conditions and in-plane shear loads are also provided as an illustration. Copyright © 1999 John Wiley & Sons, Ltd.en_US
dc.languageengen_US
dc.publisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www3.interscience.wiley.com/cgi-bin/jhome/1430en_US
dc.relation.ispartofInternational Journal for Numerical Methods in Engineeringen_US
dc.subjectBilateral Bucklingen_US
dc.subjectContact Problemsen_US
dc.subjectElasticityen_US
dc.subjectPolynomialsen_US
dc.subjectRayleigh-Ritz Methoden_US
dc.subjectUnilateral Bucklingen_US
dc.subjectUnilateral Restrainten_US
dc.titleNumerical convergence of simple and orthogonal polynomials for the unilateral plate buckling problem using the Rayleigh-Ritz methoden_US
dc.typeArticleen_US
dc.identifier.emailSmith, ST:stsmith@hku.hken_US
dc.identifier.authoritySmith, ST=rp00168en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0040288816en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0040288816&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume44en_US
dc.identifier.issue11en_US
dc.identifier.spage1685en_US
dc.identifier.epage1707en_US
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridSmith, ST=8751691000en_US
dc.identifier.scopusauthoridBradford, MA=7102411221en_US
dc.identifier.scopusauthoridOehlers, DJ=7005980230en_US

Export via OAI-PMH Interface in XML Formats


OR


Export to Other Non-XML Formats