# American Institute of Mathematical Sciences

November  2003, 3(4): 505-518. doi: 10.3934/dcdsb.2003.3.505

## Cylindrical shell buckling: a characterization of localization and periodicity

 1 Centre for Nonlinear Mechanics, University of Bath, Bath BA2 7AY, United Kingdom 2 Department of Mathematics, Heriot-Watt University, United Kingdom 3 Centrum voor Wiskunde en Informatica, P.O. Box 94079, 1090 GB Amsterdam, Netherlands

Received  January 2003 Revised  May 2003 Published  August 2003

A hypothesis for the prediction of the circumferential wavenumber of buckling of the thin axially-compressed cylindrical shell is presented, based on the addition of a length effect to the classical (Koiter circle) critical load result. Checks against physical and numerical experiments, both by direct comparison of wavenumbers and via a scaling law, provide strong evidence that the hypothesis is correct.
Citation: G.W. Hunt, Gabriel J. Lord, Mark A. Peletier. Cylindrical shell buckling: a characterization of localization and periodicity. Discrete & Continuous Dynamical Systems - B, 2003, 3 (4) : 505-518. doi: 10.3934/dcdsb.2003.3.505
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