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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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Full text
- Publication version
- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.apm.2018.03.040
- License
- Copyright (2018 Elsevier Inc.)
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- 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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