The edge wave on an elastically supported Kirchhoff plate

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Kaplunov J, Prikazchikov DA, Rogerson GA, Lashab MI.

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J Acoust Soc Am. 2014 Oct;136(4):1487-90. doi: 10.1121/1.4894795.

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.

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Link/DOI: 10.1121/1.4894795