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

Coman, Ciprian D.; Bassom, Andrew P.

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. Donnelltype 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.

Citation

Coman, C. D., & Bassom, A. P. (2019). Eigen-transitions in cantilever cylindrical shells subjected to vertical edge loads. Mathematics and Mechanics of Solids, 24(3), 701-722. https://doi.org/10.1177/1081286517754133

• Journal Article Type: Article
• Acceptance Date: Dec 27, 2017
• Online Publication Date: Feb 12, 2018
• Publication Date: Mar 1, 2019
• Deposit Date: Jan 8, 2018
• Publicly Available Date: Feb 12, 2018
• Journal: Mathematics and Mechanics of Solids
• Print ISSN: 1081-2865
• Electronic ISSN: 1741-3028
• Publisher: SAGE Publications
• Peer Reviewed: Peer Reviewed
• Volume: 24
• Issue: 3
• Pages: 701-722
• DOI: https://doi.org/10.1177/1081286517754133
• Keywords: cylindrical shells, localised buckling, shallow shell equations, multiple-scale asymptotics
• Public URL: https://nottingham-repository.worktribe.com/output/911199
• Publisher URL: http://journals.sagepub.com/doi/full/10.1177/1081286517754133