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Torsional buckling and post-buckling of columns made of aluminium alloy

Abstract

The paper concerns torsional buckling and the initial post-buckling of axially compressed thin-walled aluminium alloy columns with bisymmetrical cross-section. It is assumed that the column material behaviour is described by the Ramberg–Osgood constitutive equation in non-linear elastic range. The stationary total energy principle is used to derive the governing non-linear differential equation. An approximate solution of the equation determined by means of the perturbation approach allows to determine the buckling loads and the initial post-buckling behaviour. Numerical examples dealing with simply supported I-column are presented and the effect of material elastic non-linearity on the critical loads and initial post-buckling behaviour are compared to the linear solution.

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DOI:
Digital Object Identifier (open in new tab) 10.1016/j.apm.2018.03.040
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Copyright (2018 Elsevier Inc.)

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Details

Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
APPLIED MATHEMATICAL MODELLING no. 60, pages 711 - 720,
ISSN: 0307-904X
Language:
English
Publication year:
2018
Bibliographic description:
Szymczak C., Kujawa M.: Torsional buckling and post-buckling of columns made of aluminium alloy// APPLIED MATHEMATICAL MODELLING. -Vol. 60, (2018), s.711-720
DOI:
Digital Object Identifier (open in new tab) 10.1016/j.apm.2018.03.040
Verified by:
Gdańsk University of Technology

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