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Structural Engineering and Mechanics Volume 51, Number 6, September25 2014 , pages 955-971 DOI: https://doi.org/10.12989/sem.2014.51.6.955 |
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Large post-buckling behavior of Timoshenko beams under axial compression loads |
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Şeref D. Akbaş
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| Abstract | ||
| Large post-buckling behavior of Timoshenko beams subjected to non-follower axial compression loads are studied in this paper by using the total Lagrangian Timoshenko beam element approximation. Two types of support conditions for the beams are considered. In the case of beams subjected to compression loads, load rise causes compressible forces end therefore buckling and postbuckling phenomena occurs. It is known that post-buckling problems are geometrically nonlinear problems. The considered highly non-linear problem is solved considering full geometric non-linearity by using incremental displacement-based finite element method in conjunction with Newton-Raphson iteration method. There is no restriction on the magnitudes of deflections and rotations in contradistinction to von-Karman strain displacement relations of the beam. The beams considered in numerical examples are made of lower-Carbon Steel. In the study, the relationships between deflections, rotational angles, critical buckling loads, post-buckling configuration, Cauchy stress of the beams and load rising are illustrated in detail in post-buckling case. | ||
| Key Words | ||
| gometrical non-linearity; post-buckling analysis; total Lagrangian finite element model; timoshenko beam; large displacements; large rotations | ||
| Address | ||
| Şeref D. Akbaş : Department of Civil Engineering, Bursa Technical University, Yildirim Campus, 152 Evler Mah., Egitim Cad., 1. Damla Sok., No:2/10, 16330 Yildirim, Bursa, Turkey | ||