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Computation of localized post buckling in long axially-compressed cylindrical shells

Research output: Working paperWorking paper and Preprints

Original languageEnglish
Publisher or commissioning bodyUniversity of Bristol
Number of pages15
StatePublished - 1996


Buckling is investigated of a long thin cylindrical shell under longitudinal compression as modelled by the von Karman-Donnell equations. Evidence is reviewed for the buckling being localised to some portion of the axial length. In accordance with this observed behaviour the equations are first approximated circumferentially by a Galerkin procedure, whereupon cross-symmetric homoclinic solutions of the resulting system of ordinary differential equations are sought in the axial direction. Results are compared with experimental and other numerical data. Excellent agreement with experiments is achieved with fewer circumferential modes than other methods

Additional information

Additional information: Preprint of a paper later published by Royal Society, (1997) Philosophical Transactions of the Royal Society of London Series A - Mathematical Physical and Engineering Sciences 355 (1732), pp. 2137-2150. ISSN 1364-503X Sponsorship: GJ Lord was supported by a research grant from the EPSRC under the Applied Nonlinear Mathematics Initiative

Research areas

  • von Karman-Donnell equations, cross-symmetric homoclinic solutions, Galerkin procedure, ordinary differential equations (ODEs), longitudinal compression, localised buckling, long thin cylindrical shell


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