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Article: Geometrically nonlinear formulation of 3D finite strain beam element with large rotations

TitleGeometrically nonlinear formulation of 3D finite strain beam element with large rotations
Authors
Issue Date1992
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/compstruc
Citation
Computers And Structures, 1992, v. 44 n. 1-2, p. 147-157 How to Cite?
AbstractThe geometrically nonlinear formulation of three-dimensional (3D) curved beam elements with large rotations has recently aroused much interest. The element geometry is usually constructed using coordinates of the nodes of the centroidal or reference axis and the orthogonal nodal vectors representing the principal bending directions. The element displacement field is described using three translations at the element nodes and three rotations about the local axes. These types of 3D beam element formulations are, however, restricted to small nodal rotations between two successive load increments. The beam element formulation presented in this paper removes such restrictions; this is accomplished by defining beam geometry using nodal displacements and tangent vectors instead of rotation angles at the two ends of the curved beam element. The fact that, unlike rotation angles, vectors can be added without difficulty, allows large rotations be made within a load increment. Removing all the transcendental trigonometrical cosine and sine functions, the formulation has the advantage of being simple and purely algebraic. © 1992.
Persistent Identifierhttp://hdl.handle.net/10722/71425
ISSN
2015 Impact Factor: 2.425
2015 SCImago Journal Rankings: 1.710

 

DC FieldValueLanguage
dc.contributor.authorLo, SHen_HK
dc.date.accessioned2010-09-06T06:31:52Z-
dc.date.available2010-09-06T06:31:52Z-
dc.date.issued1992en_HK
dc.identifier.citationComputers And Structures, 1992, v. 44 n. 1-2, p. 147-157en_HK
dc.identifier.issn0045-7949en_HK
dc.identifier.urihttp://hdl.handle.net/10722/71425-
dc.description.abstractThe geometrically nonlinear formulation of three-dimensional (3D) curved beam elements with large rotations has recently aroused much interest. The element geometry is usually constructed using coordinates of the nodes of the centroidal or reference axis and the orthogonal nodal vectors representing the principal bending directions. The element displacement field is described using three translations at the element nodes and three rotations about the local axes. These types of 3D beam element formulations are, however, restricted to small nodal rotations between two successive load increments. The beam element formulation presented in this paper removes such restrictions; this is accomplished by defining beam geometry using nodal displacements and tangent vectors instead of rotation angles at the two ends of the curved beam element. The fact that, unlike rotation angles, vectors can be added without difficulty, allows large rotations be made within a load increment. Removing all the transcendental trigonometrical cosine and sine functions, the formulation has the advantage of being simple and purely algebraic. © 1992.en_HK
dc.languageengen_HK
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/compstrucen_HK
dc.relation.ispartofComputers and Structuresen_HK
dc.titleGeometrically nonlinear formulation of 3D finite strain beam element with large rotationsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0045-7949&volume=44 &issue=1/2&spage=147 &epage= 157&date=1992&atitle=Geometrically+nonlinear+formulation+of+3D+finite+strain+beam+element+with+large+rotationsen_HK
dc.identifier.emailLo, SH:hreclsh@hkucc.hku.hken_HK
dc.identifier.authorityLo, SH=rp00223en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.scopuseid_2-s2.0-0027110664en_HK
dc.identifier.hkuros42434en_HK
dc.identifier.volume44en_HK
dc.identifier.issue1-2en_HK
dc.identifier.spage147en_HK
dc.identifier.epage157en_HK
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridLo, SH=7401542444en_HK

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