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

Abstract

The paper concerns flexural buckling and initial post-buckling of axially compressed columns made of aluminium alloy described by the Ramberg-Osgood relationship. The non-linear differential equation of the problem is derived using the stationary total energy principle and the assumptions of classical beam theory within a finite range. The approximate analytical solution of the equation leading to the buckling loads and initial post-buckling equilibrium path is determined by means of the perturbation approach. Numerical examples dealing with simply supported and clamped I-columns are presented, the effect of the material non-linearity on the critical loads and initial post-buckling behaviour in comparison to linear one is discussed too. The analytical results are compared with the FEM solutions to present a good agreement.

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Details

Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS no. 73, pages 420 - 429,
ISSN: 0997-7538
Language:
English
Publication year:
2019
Bibliographic description:
Szymczak C., Kujawa M.: Flexural buckling and post-buckling of columns made of aluminium alloy// EUROPEAN JOURNAL OF MECHANICS A-SOLIDS. -Vol. 73, (2019), s.420-429
DOI:
Digital Object Identifier (open in new tab) 10.1016/j.euromechsol.2018.10.006
Verified by:
Gdańsk University of Technology

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