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PROCEEDINGS OF THE FIFTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING
Edited by: J. Kruis, Y. Tsompanakis and B.H.V. Topping
A Geometrical Exact Three-Dimensional Beam Model including the Effects of Section Distortions
D. Magisano, L. Leonetti, A. Bilotta and G. Garcea
Dipartimento di Informatica, Modellistica, Elettronica e Sistemistica, University of Calabria, Rende, Italy
D. Magisano, L. Leonetti, A. Bilotta, G. Garcea, "A Geometrical Exact Three-Dimensional Beam Model including the Effects of Section Distortions", in J. Kruis, Y. Tsompanakis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 249, 2015. doi:10.4203/ccp.108.249
Keywords: nonuniform warping, composite beams, geometrically exact beams, buckling analysis.
A geometrically nonlinear beam model suitable for describing complex three-dimensional effects due to non-uniform warping including non-standard in-plane distortions of the cross-section is presented and applied to the buckling analysis of beams. Each section is endowed with a corotational frame where statics and kinematics are described using a refined linear elastic model which exploits a semi-analytical solution of the Cauchy continuum problem based on a finite element discretization of the cross-section. The stress field in this way is fully three-dimensional, allowing both the exact recovery of the standard Saint Venant solution and the consideration of some additional relevant strain modes of the cross-section that are evaluated in a simple and effective way. Numerical results are presented and compared with three-dimensional shell reference solutions obtained by using the commercial code ABAQUS.
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