The edge wave on an elastically supported Kirchhoff plate

Kaplunov, Julius; Prikazchikov, Danila A.; Rogerson, Graham A.; Lashab, Mohamed I.

doi:10.1121/1.4894795

The edge wave on an elastically supported Kirchhoff plate

Kaplunov, Julius; Prikazchikov, Danila A.; Rogerson, Graham A.; Lashab, Mohamed I.

Authors

Julius Kaplunov j.kaplunov@keele.ac.uk

Danila Prikazchikov d.prikazchikov@keele.ac.uk

Graham A. Rogerson

Mohamed I. Lashab

Abstract

This Letter deals with an analysis of bending edge waves propagating along the free edge of a Kirchhoff plate supported by a Winkler foundation. The presence of a foundation leads to a non-zero cut-off frequency for this wave, along with a local minimum of the associated phase velocity. This minimum phase velocity corresponds to a critical speed of an edge moving load and is analogous to that in the classical 1D moving load problem for an elastically supported beam.

Journal Article Type	Article
Acceptance Date	Aug 16, 2014
Publication Date	Oct 1, 2014
Journal	The Journal of the Acoustical Society of America
Print ISSN	0001-4966
Publisher	Acoustical Society of America
Peer Reviewed	Peer Reviewed
Volume	136
Issue	4
Pages	1487 - 1490
DOI	https://doi.org/10.1121/1.4894795
Keywords	waves, mechanics, physics
Publisher URL	http://dx.doi.org/10.1121/1.4894795