A geometrically exact approach to lateral-torsional buckling of thin-walled beams with deformable cross-section

2012 ◽  
Vol 106-107 ◽  
pp. 9-19 ◽  
Author(s):  
Rodrigo Gonçalves
Keyword(s):  
Cross Section ◽  
Lateral Torsional Buckling ◽  
Torsional Buckling ◽  
Exact Approach ◽  
Thin Walled

scholarly journals Experimental and Numerical Study on the Lateral-Torsional Buckling of Steel C-Beams with Variable Cross-Section

Metals ◽  
2018 ◽  
Vol 8 (11) ◽  
pp. 941
Author(s):  
Ida Mascolo ◽  
Mariano Modano ◽  
Antimo Fiorillo ◽  
Marcello Fulgione ◽  
Vittorio Pasquino ◽  
...  
Keyword(s):  
Cross Section ◽  
Numerical Study ◽  
Numerical Approach ◽  
Computational Effort ◽  
Experimental Results ◽  
Variable Cross ◽  
Lateral Torsional Buckling ◽  
Torsional Buckling ◽  
Cross Sectional ◽  
Thin Walled

Metallic thin-walled beams with continuously varying cross-sections loaded in compression are particularly sensitive to instability problems due to lateral-torsional buckling. Such a phenomenon depends on several parameters, including the cross-sectional properties along the entire length, material properties, load distribution, support, and restraint conditions. Due to the difficulty of obtaining analytic solutions for the problem under consideration, the present study takes a numerical approach based on a variational formulation of the lateral-torsional buckling problem of tapered C-beams. Numerical simulations are compared with experimental results on the buckling of a physical model of at thin-walled beam with uniformly varying cross-section, with the aim of assessing the accuracy of the proposed approach. The good agreement between numerical and experimental results and the reduced computational effort highlight that the proposed variational approach is a powerful tool, provided that the geometry of the structure and the boundary conditions are accurately modeled.

scholarly journals Lateral Torsional Buckling of Selected Cross-Section Types

2017 ◽  
Vol 190 ◽  
pp. 106-110 ◽  
Author(s):  
Miroslav Bajer ◽  
Jan Barnat ◽  
Jiri Pijak
Keyword(s):  
Cross Section ◽  
Lateral Torsional Buckling ◽  
Torsional Buckling

Shear-deformable hybrid finite-element formulation for lateral-torsional buckling analysis of composite thin-walled members

2020 ◽  
Author(s):  
Emre Erkmen ◽  
Vida Niki ◽  
Ashkan Afnani
Keyword(s):  
Finite Element ◽  
Beam Theory ◽  
Buckling Analysis ◽  
Finite Element Formulation ◽  
Element Formulation ◽  
Lateral Torsional Buckling ◽  
Torsional Buckling ◽  
Hybrid Finite Element ◽  
Thin Walled ◽  
Shear Deformable

A shear deformable hybrid finite element formulation is developed for the lateral-torsional buckling analysis of fiber-reinforced composite thin-walled members with open cross-section. The method is developed by using the Hellinger-Reissner functional. Comparison to the displacement-based formulations the current hybrid formulation has the advantage of incorporating the shear deformation effects easily by using the strain energy of the shear stress field without modifying the basic kinematic assumptions of the thin-walled beam theory. Numerical results are validated through comparisons with results based on other formulations presented in the literature. Examples illustrate the effects of shear deformations and stacking sequence of the composite layers in predicting bucking loads.

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