Please use this identifier to cite or link to this item:
http://bura.brunel.ac.uk/handle/2438/1874
Title: | Three-dimensional edge waves in plates |
Authors: | Zernov, V Kaplunov, JD |
Keywords: | Edge wave;Elastic plate;Variation;Eigenspectrum;Rayleigh–Lamb |
Issue Date: | 2008 |
Publisher: | Royal Society Publishing |
Citation: | Proceedings of the Royal Society of London, Series A, 464: 301-318, Feb 2008 |
Abstract: | This paper describes the propagation of three-dimensional symmetric waves localized near the traction-free edge of a semi-infinite elastic plate with either traction-free or fixed faces. For both types of boundary conditions, we present a variational proof of the existence of the low-order edge waves. In addition, for a plate with traction-free faces and zero Poisson ratio, the fundamental edge wave is described by a simple explicit formula, and the first-order edge wave is proved to exist. Qualitative variational predictions are compared with numerical results, which are obtained using expansions in three-dimensional Rayleigh–Lamb and shear modes. It is also demonstrated numerically that for any non-zero Poisson ratio in a plate with traction-free faces, the eigenfrequencies related to the first-order wave are complex valued. |
URI: | http://bura.brunel.ac.uk/handle/2438/1874 |
Appears in Collections: | Computer Science Mathematical Sciences |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
edgewaves.pdf | 228.13 kB | Adobe PDF | View/Open |
Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.