Title: Computational aspects of vector‐like parametrization of three‐dimensional finite rotations
Abstract: International Journal for Numerical Methods in EngineeringVolume 38, Issue 21 p. 3653-3673 Article Computational aspects of vector-like parametrization of three-dimensional finite rotations Adnan Ibrahimbegović, Adnan Ibrahimbegović The University of Technology at Compiègne, UTC, DGM, MNM, BP-649, 60200 Compiègne, FranceSearch for more papers by this authorFrançois Frey, François Frey Swiss Federal Institute of Technology at Lausanne, EPEL, DGC, LSC, CH-1015 Lausanne, SwitzerlandSearch for more papers by this authorIvica Kožar, Ivica Kožar Department of Civil Engineering, University of Rijeka, CroatiaSearch for more papers by this author Adnan Ibrahimbegović, Adnan Ibrahimbegović The University of Technology at Compiègne, UTC, DGM, MNM, BP-649, 60200 Compiègne, FranceSearch for more papers by this authorFrançois Frey, François Frey Swiss Federal Institute of Technology at Lausanne, EPEL, DGC, LSC, CH-1015 Lausanne, SwitzerlandSearch for more papers by this authorIvica Kožar, Ivica Kožar Department of Civil Engineering, University of Rijeka, CroatiaSearch for more papers by this author First published: 15 November 1995 https://doi.org/10.1002/nme.1620382107Citations: 173AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Abstract Theoretical and computational aspects of vector-like parametrization of three-dimensional finite rotations, which uses only three rotation parameters, are examined in detail in this work. The relationship of the proposed parametrization with the intrinsic representation of finite rotations (via an orthogonal matrix) is clearly identified. Careful considerations of the consistent linearization procedure pertinent to the proposed parametrization of finite rotations are presented for the chosen model problem of Reissner's non-linear beam theory. Pertaining details of numerical implementation are discussed for the simplest choice of the finite element interpolations for a 2-node three-dimensional beam element. A number of numerical simulations in three-dimensional finite rotation analysis are presented in order to illustrate the proposed approach. References 1 J. 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Bufter, ‘An exact finite rotation shell theory, its mixed variational formulation and its finite element implementation,’ Int. j. numer. methods eng., 34, 73–116 (1992). Citing Literature Volume38, Issue2115 November 1995Pages 3653-3673 ReferencesRelatedInformation
Publication Year: 1995
Publication Date: 1995-11-15
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 236
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