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Article: A rotation-free beam element for beam and cable analyses

TitleA rotation-free beam element for beam and cable analyses
Authors
KeywordsRotation- free
Beam
Finite element
Corotational
Geometric nonlinear
Cable
Issue Date2013
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/finel
Citation
Finite Elements in Analysis and Design, 2013, v. 64, p. 79-89 How to Cite?
AbstractThe rotation-free or RF element method represents a non-conventional finite element method in which the rotations are not used as dofs and the element interpolation domains are overlapping. Its obvious advantage is that the complication of finite rotations can be avoided. In this paper, the relatively unexplored RF plane beam element recently formulated by the authors in the course of developing a RF triangle for thin-shell analyses is revisited. Comparing with other RF plane beam elements, the present one is simple and physical yet its accuracy remains competitive. Using a corotational approach and the small strain assumption, its tangent bending stiffness matrix can be approximated by a constant matrix which does not require updating in geometric nonlinear analyses. The element is here extended to spatial cable analyses in which the torsional stiffness can often be neglected and the sectional properties are isotropic. Under the same nodal distributions, it is seen that the present element can tolerate much larger load increment and time step under static and dynamic analyses, respectively, than the two-node thin beam finite element.
Persistent Identifierhttp://hdl.handle.net/10722/173976
ISSN
2015 Impact Factor: 2.175
2015 SCImago Journal Rankings: 1.278
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorZhou, YX-
dc.contributor.authorSze, KY-
dc.date.accessioned2012-11-05T04:05:19Z-
dc.date.available2012-11-05T04:05:19Z-
dc.date.issued2013-
dc.identifier.citationFinite Elements in Analysis and Design, 2013, v. 64, p. 79-89-
dc.identifier.issn0168-874X-
dc.identifier.urihttp://hdl.handle.net/10722/173976-
dc.description.abstractThe rotation-free or RF element method represents a non-conventional finite element method in which the rotations are not used as dofs and the element interpolation domains are overlapping. Its obvious advantage is that the complication of finite rotations can be avoided. In this paper, the relatively unexplored RF plane beam element recently formulated by the authors in the course of developing a RF triangle for thin-shell analyses is revisited. Comparing with other RF plane beam elements, the present one is simple and physical yet its accuracy remains competitive. Using a corotational approach and the small strain assumption, its tangent bending stiffness matrix can be approximated by a constant matrix which does not require updating in geometric nonlinear analyses. The element is here extended to spatial cable analyses in which the torsional stiffness can often be neglected and the sectional properties are isotropic. Under the same nodal distributions, it is seen that the present element can tolerate much larger load increment and time step under static and dynamic analyses, respectively, than the two-node thin beam finite element.-
dc.languageeng-
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/finel-
dc.relation.ispartofFinite Elements in Analysis and Design-
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Finite Elements in Analysis and Design. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Finite Elements in Analysis and Design, [VOL 64, 2013] DOI 10.1016/j.finel.2012.10.002-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectRotation- free-
dc.subjectBeam-
dc.subjectFinite element-
dc.subjectCorotational-
dc.subjectGeometric nonlinear-
dc.subjectCable-
dc.titleA rotation-free beam element for beam and cable analysesen_US
dc.typeArticleen_US
dc.identifier.emailSze, KY: kysze@hku.hk-
dc.description.naturepostprint-
dc.identifier.doi10.1016/j.finel.2012.10.002-
dc.identifier.scopuseid_2-s2.0-84868225515-
dc.identifier.hkuros221457-
dc.identifier.volume64-
dc.identifier.spage79-
dc.identifier.epage89-
dc.identifier.isiWOS:000311638200007-
dc.publisher.placeNetherlands-
dc.identifier.citeulike11760923-

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