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

GJ Lord; AR Champneys; GW Hunt

doi:10.1098/rsta.1997.0114

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

GJ Lord, AR Champneys, GW Hunt

Research output: Working paper

49 Citations (Scopus)

Abstract

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 contribution	Computation of localized post buckling in long axially-compressed cylindrical shells
Original language	English
Publisher	University of Bristol
Number of pages	15
DOIs	https://doi.org/10.1098/rsta.1997.0114
Publication status	Published - 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

Research Groups and Themes

Engineering Mathematics Research Group

Keywords

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

Access to Document

10.1098/rsta.1997.0114

http://hdl.handle.net/1983/281

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49 Citations
1 Working paper

Computation of localized post buckling in long axially-compressed cylindrical shells
Lord, G., Champneys, A. & Hunt, G., 1996, University of Bristol, 15 p.
Research output: Working paper
49 Citations (Scopus)

Cite this

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title = "Computation of localized post buckling in long axially-compressed cylindrical shells",

abstract = "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",

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

author = "GJ Lord and AR Champneys and GW Hunt",

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 ",

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doi = "10.1098/rsta.1997.0114",

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publisher = "University of Bristol",

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AU - Champneys, AR

AU - Hunt, GW

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PY - 1996

Y1 - 1996

N2 - 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

AB - 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

KW - von Karman-Donnell equations

KW - cross-symmetric homoclinic solutions

KW - Galerkin procedure

KW - ordinary differential equations (ODEs)

KW - longitudinal compression

KW - localised buckling

KW - long thin cylindrical shell

U2 - 10.1098/rsta.1997.0114

DO - 10.1098/rsta.1997.0114

M3 - Working paper

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

PB - University of Bristol

ER -

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

Abstract

Bibliographical note

Research Groups and Themes

Keywords

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Research output

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

Cite this