Article ID Journal Published Year Pages File Type
1900309 Wave Motion 2007 13 Pages PDF
Abstract

In this paper we present new results which illustrate the existence of trapped modes on a thin elastic plate, which is infinitely long, of finite uniform width and simply-supported along the two parallel edges. The plates contain a circular cut-out on the centreline of the strip whose edges are either free or clamped. The trapped waves describe time-harmonic vibrations of a frequency below a cut-off frequency which are localised to the circular cut-out and decay along the strip. Results show that whilst no trapped waves occur for a circular hole with a clamped-edge, for a hole with a free edge trapped waves occur in all four possible modes of symmetry.

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Physical Sciences and Engineering Earth and Planetary Sciences Geology
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