On the neutral stability curve for shallow conical shells subjected to lateral pressure

Ciprian D. Coman, Andrew P. Bassom

Research output: Contribution to journalArticle

Abstract

This work presents a detailed asymptotic description of the neutral stability envelope for the linear bifurcations of a shallow conical shell subjected to lateral pressure. The eighth-order boundary-eigenvalue problem investigated originates in the Donnell shallow-shell theory coupled with a linear membrane pre-bifurcation state, and leads to a neutral stability curve that exhibits two distinct growth rates. By using singular perturbation methods we propose accurate approximations for both regimes and explore a number of other novel features of this problem. Our theoretical results are compared with several direct numerical simulations that shed further light on the problem.

LanguageEnglish
Pages727-747
Number of pages21
JournalMathematics and Mechanics of Solids
Volume23
Issue number5
Early online date13 Feb 2017
DOIs
Publication statusPublished - 1 May 2018
Externally publishedYes

Fingerprint

Lateral
Shell
Bifurcation
Singular Perturbation Method
Shallow Shell
Shell Theory
Curve
Direct numerical simulation
Boundary Problem
Envelope
Eigenvalue Problem
Membrane
Membranes
Distinct
Approximation
Direct numerical Simulation

Cite this

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On the neutral stability curve for shallow conical shells subjected to lateral pressure. / Coman, Ciprian D.; Bassom, Andrew P.

In: Mathematics and Mechanics of Solids, Vol. 23, No. 5, 01.05.2018, p. 727-747.

Research output: Contribution to journalArticle

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AU - Bassom, Andrew P.

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