ANALYSIS OF THREE-DIMENSIONAL LOCKING-FREE CURVED BEAM ELEMENT
2004; Imperial College Press; Volume: 05; Issue: 03 Linguagem: Inglês
10.1142/s1465876304002551
ISSN2047-6086
Autores Tópico(s)Advanced Numerical Methods in Computational Mathematics
ResumoInternational Journal of Computational Engineering ScienceVol. 05, No. 03, pp. 535-556 (2004) No AccessANALYSIS OF THREE-DIMENSIONAL LOCKING-FREE CURVED BEAM ELEMENTZ. H. ZHU and S. A. MEGUIDZ. H. ZHUEngineering Mechanics and Design Laboratory, Department of Mechanical and Industrial Engineering, University of Toronto, 5 King's College Road, Toronto, Ontario, Canada M5S 7G8, Canada Search for more papers by this author and S. A. MEGUIDEngineering Mechanics and Design Laboratory, Department of Mechanical and Industrial Engineering, University of Toronto, 5 King's College Road, Toronto, Ontario, Canada M5S 7G8, CanadaCorresponding author. Search for more papers by this author https://doi.org/10.1142/S1465876304002551Cited by:8 PreviousNext AboutSectionsPDF/EPUB ToolsAdd to favoritesDownload CitationsTrack CitationsRecommend to Library ShareShare onFacebookTwitterLinked InRedditEmail AbstractMost existing curved beam elements suffer from poor convergence difficulties and a heavy computational burden while limit themselves to 2D problems. In this paper, we address and overcome these difficulties by developing a new three-noded locking-free 3D curved beam element. The element formulations, which employ coupled consistent polynomial displacement fields, satisfy the membrane locking-free requirement of being able to recover the inextensible bending mode of the curved beam. Quintic transverse displacement interpolation functions are used to represent the bending deformation of the beam, while the axial and torsional displacement fields are derived by integration of the presumably linear membrane and torsional shear strain fields, which are coupled with the transverse displacement fields. Numerical results of two- and three-dimensional applications are presented to demonstrate the superior accuracy and high convergence rate of the newly developed curved beam element compared with existing ones.Keywords:3D curved beamfinite element methodmembrane lockingcurvilinear strain descriptioncoupled consistent polynomial displacement field References A. Gobetti and R. Nascimbene, 'Elaso-platic, nonlinear analysis of a locking-free shear/flexible curved beam element', European Conference on Computational Mechanics 2001, Cracow, Poland, 2001 . Google ScholarP. Litewka and J. Rakowski, International Journal for Numerical Methods in Engineering 44, 265 (1999). 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