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A geometrically exact approach to lateral-torsional buckling of thin-walled beams with deformable cross-section
- Source :
-
Computers & Structures . Sep2012, Vol. 106-107, p9-19. 11p. - Publication Year :
- 2012
-
Abstract
- Abstract: In this paper, a new geometrically exact beam formulation is presented, aiming at calculating buckling (bifurcation) loads of Euler–Bernoulli/Vlasov thin-walled beams with deformable cross-section. The resulting finite element is particularly efficient for problems involving coupling between lateral-torsional buckling and cross-section distortion/local-plate buckling. The kinematic description of the beam is geometrically exact and employs rotation tensors associated with both cross-section rotation and the relative rotations of the cross-section walls in the cross-section plane. Moreover, arbitrary deformation modes, complying with Kirchhoff’s assumption, are also included, which makes it possible to capture local/distortional/global buckling phenomena. Load height effects associated with cross-section rotation/deformation are also included. The examples presented throughout the paper show that the proposed beam finite element leads to accurate solutions with a relatively small number of degrees-of-freedom (deformation modes and finite elements). [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00457949
- Volume :
- 106-107
- Database :
- Academic Search Index
- Journal :
- Computers & Structures
- Publication Type :
- Academic Journal
- Accession number :
- 77765984
- Full Text :
- https://doi.org/10.1016/j.compstruc.2012.03.017