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Localised elastic waves in structures of complex geometry

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journal contribution
posted on 05.10.2016 by Victor V. Krylov
In the present paper, it is demonstrated that the existence of localised elastic modes in structures of complex geometry can take place under the condition of total internal reflection of Rayleigh or plate waves from the areas surrounding the 'internal' areas of wave localisation. The possibility of total internal reflection in structures of complex geometry is often linked to the presence of internal areas on the surfaces characterised by lower values of the geometry-dependent local phase velocities of Rayleigh or plate waves in comparison with their values in the surrounding areas. The above-mentioned condition of wave localisation is illustrated by theoretical calculations of frequency-dependent phase velocities for three different cases of localised elastic wave propagation. These are localised Rayleigh waves propagating along solid cylinders of variable curvature, localised flexural waves in slender elastic wedges (also known as wedge elastic waves), and localised quasi-flexural waves in non-circular cylindrical shells.

History

School

  • Aeronautical, Automotive, Chemical and Materials Engineering

Department

  • Aeronautical and Automotive Engineering

Published in

Proceedings of the Institute of Acoustics

Volume

38

Issue

1

Pages

139 - 148

Citation

KRYLOV, V.V., 2016. Localised elastic waves in structures of complex geometry. Proceedings of the Institute of Acoustics, 38(1), pp. 139-148.

Publisher

The Institute of Acoustics

Version

AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Acceptance date

15/08/2016

Publication date

2016

Notes

This paper is published with kind permission of the publisher.

ISSN

1478-6095

Publisher version

Language

en

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