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Eigen-transitions in cantilever cylindrical shells subjected to vertical edge loads


Coman, CD and Bassom, AP, Eigen-transitions in cantilever cylindrical shells subjected to vertical edge loads, Mathematics and Mechanics of Solids, 24, (3) pp. 701-722. ISSN 1081-2865 (2019) [Refereed Article]

Copyright Statement

Copyright 2019 The Authors

DOI: doi:10.1177/1081286517754133


A thin cantilever cylindrical shell subjected to a transverse shear force at the free end can experience two distinct modes of buckling, depending on its relative thickness and length. If the former parameter is fixed, then a short cylinder buckles in a diffuse manner, while the eigenmodal deformation of a moderately long shell is localised, both axially and circumferentially, near its fixed end. Donnell-type buckling equations for cylindrical shells are here coupled with a non-symmetric membrane basic state to produce a linear boundary-value problem that is shown to capture the transition between the aforementioned instability modes. The main interest lies in exploring the approximate asymptotic separation of the independent variables in the corresponding stability equations, when the eigen-deformation is doubly localised. Comparisons with direct numerical simulations of the full buckling problem provide further insight into the accuracy and limitations of our approximations.

Item Details

Item Type:Refereed Article
Keywords:cylindrical shells, localised buckling, shallow shell equations, multiple-scale asymptotics
Research Division:Mathematical Sciences
Research Group:Applied mathematics
Research Field:Theoretical and applied mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Bassom, AP (Professor Andrew Bassom)
ID Code:131752
Year Published:2019 (online first 2018)
Deposited By:Mathematics and Physics
Deposited On:2019-04-04
Last Modified:2021-06-01

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