Kaplunov, J, Prikazchikov, D and Rogerson, GA (2016) Edge bending wave on a thin elastic plate resting on a Winkler foundation. Proceedings of the Royal Society of London: Mathematical, Physical and Engineering Sciences, 472 (2190). ISSN 1471-2946

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Abstract

This paper is concerned with elucidation of the general properties of the bending edge wave in a thin linearly elastic plate that is supported by a Winkler foundation. A homogeneous wave of arbitrary profile is considered, and represented in terms of a single harmonic function. This serves as the basis for derivation of an explicit asymptotic model, containing an elliptic equation governing the decay away from the edge, together with a parabolic equation at the edge, corresponding to beam-like behaviour. The model extracts the contribution of the edge wave from the overall dynamic response of the plate, providing significant simplification for analysis of the localized near-edge wave field.

Item Type: Article
Additional Information: This is the accepted author manuscript (AAM). The final published version (version of record) is available online via The Royal Society at http://dx.doi.org/10.1098/rspa.2016.0178 Please refer to any applicable terms of use of the publisher.
Uncontrolled Keywords: Bending edge wave, harmonic function, dual parabolic-elliptic formulation, perturbation
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Natural Sciences > School of Computing and Maths
Depositing User: Symplectic
Date Deposited: 18 Apr 2016 14:20
Last Modified: 13 Jun 2018 10:22
URI: http://eprints.keele.ac.uk/id/eprint/1626

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