Krylov Proc IOA 2016 - postprint.pdf (461.85 kB)
Download fileLocalised elastic waves in structures of complex geometry
journal contribution
posted on 2016-10-05, 09:53 authored by Victor V. KrylovIn 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 AcousticsVolume
38Issue
1Pages
139 - 148Citation
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 AcousticsVersion
- 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
2016-08-15Publication date
2016Notes
This paper is published with kind permission of the publisher.ISSN
1478-6095Publisher version
Language
- en