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

GJ Lord, AR Champneys, GW Hunt

Research output: Working paperWorking paper and Preprints

42 Citations (Scopus)


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
Translated title of the contributionComputation of localized post buckling in long axially-compressed cylindrical shells
Original languageEnglish
PublisherUniversity of Bristol
Number of pages15
Publication statusPublished - 1996

Bibliographical note

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


  • 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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