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Buckling analysis of a cylindrical panel under axial stress using perturbation technique
Author(s) -
Eipakchi H.R.,
Shariati M.
Publication year - 2011
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201000036
Subject(s) - buckling , parametric statistics , structural engineering , perturbation (astronomy) , stress (linguistics) , mathematics , mathematical analysis , materials science , mechanics , physics , engineering , linguistics , philosophy , quantum mechanics , statistics
In this paper, a combination of the series method and the perturbation theory has been proposed to calculate the elastic buckling stresses of panels with two edges simply supported subjected to the uniform axial stress by considering the linear theory of Donnell as the governing equation. As a parametric study , the effects of changing the radius, length, and sector angles of the panels on the buckling stresses have been investigated and the results have been compared with the finite elements method. Also, to find the buckling stress, a correction factor for the Lorenz formula has been proposed.