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

Cylindrical shell buckling: a characterization of localization and periodicity

G.W. Hunt 1, , Gabriel J. Lord 2, and  Mark A. Peletier 3,

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.
Keywords: Shell buckling, von Kármán– Donnell equations., post-buckling, localization, bifurcation.
Mathematics Subject Classification: 74K2.
Citation: G.W. Hunt, Gabriel J. Lord, Mark A. Peletier. Cylindrical shell buckling: a characterization of localization and periodicity. Discrete and Continuous Dynamical Systems - B, 2003, 3 (4) : 505-518. doi: 10.3934/dcdsb.2003.3.505
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