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Volume :19 Issue : 1 1992
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Post-buckling of perfect columns using the method of multiple scales
Auther : MOHAMED ABDEL-ROHMAN
Department of Civil Engineering, University of Kuwait, P.O. Box 5969, Safat 13060, Kuwait
ABSTRACT
The buckling of perfect columns which considers the large deformation theory is called postbuckling behavior. The governing differential equation is an ordinary nonlinear one. The exact solution for the same columns was obtained using the complete elliptic integral of the first kind. In this paper, the method of multiple scales is used to obtain an approximate analytical solution for general perfect columns. It is shown that the method is straightforward and the results are in good agreement with the exact ones.