Buckling of thin-walled beams by a refined theory

Ibrahim, S, Carrera, E, Petrolo, M and Zappino, E 2012, 'Buckling of thin-walled beams by a refined theory', Journal of Zhejiang University - Science A: Applied Physics and Engineering, vol. 13, no. 10, pp. 747-759.


Document type: Journal Article
Collection: Journal Articles

Title Buckling of thin-walled beams by a refined theory
Author(s) Ibrahim, S
Carrera, E
Petrolo, M
Zappino, E
Year 2012
Journal name Journal of Zhejiang University - Science A: Applied Physics and Engineering
Volume number 13
Issue number 10
Start page 747
End page 759
Total pages 13
Publisher Zheijiang University Press
Abstract The buckling of thin-walled structures is presented using the 1D finite element based refined beam theory formulation that permits us to obtain N-order expansions for the three displacement fields over the section domain. These higher-order models are obtained in the framework of the Carrera unified formulation (CUF). CUF is a hierarchical formulation in which the refined models are obtained with no need for ad hoc formulations. Beam theories are obtained on the basis of Taylor-type and Lagrange polynomial expansions. Assessments of these theories have been carried out by their applications to studies related to the buckling of various beam structures, like the beams with square cross section, I-section, thin rectangular cross section, and annular beams. The results obtained match very well with those from commercial finite element softwares with a significantly less computational cost. Further, various types of modes like the bending modes, axial modes, torsional modes, and circumferential shell-type modes are observed.
Subject Aerospace Engineering not elsewhere classified
Keyword(s) 1D formulation
Buckling
Carrera unified formulation (CUF)
Unified beam theory
DOI - identifier 10.1631/jzus.A1100331
Copyright notice © Zhejiang University and Springer-Verlag Berlin Heidelberg 2012
ISSN 1673-565X
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