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

Ciprian D. Coman, Andrew P. Bassom

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Pages (from-to)701-722
Number of pages22
JournalMathematics and Mechanics of Solids
Volume24
Issue number3
Early online date12 Feb 2018
DOIs
Publication statusPublished - 1 Mar 2019
Externally publishedYes

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