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On the neutral stability curve for shallow conical shells subjected to lateral pressure
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.
History
Publication title
Mathematics and Mechanics of SolidsVolume
23Issue
5Pagination
727-747ISSN
1081-2865Department/School
School of Natural SciencesPublisher
Sage Publications LtdPlace of publication
6 Bonhill Street, London, England, Ec2A 4PuRights statement
Copyright 2016 The AuthorsRepository Status
- Restricted