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The edge wave on an elastically supported Kirchhoff plate

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

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Authors

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.

Citation

Kaplunov, J., Prikazchikov, D. A., Rogerson, G. A., & Lashab, M. I. (2014). The edge wave on an elastically supported Kirchhoff plate. Journal of the Acoustical Society of America, 136(4), 1487 - 1490. https://doi.org/10.1121/1.4894795

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

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