Abstract

The paper presents the results of recent work on the modelling of flexural waves in elastic plates constrained periodically by rigid pins. It includes an outline of the analysis of the transmission problem for a stack of rigid pin gratings incorporating lateral shifts. We use a recurrence algorithm to determine reflection and transmission matrices which characterise the filtering of plane waves by the structured interface. The representations of scattered fields use the quasi-periodic Green’s function for a single grating. Both propagating and evanescent fields are taken into account. A special attention is given to the analysis of trapped modes which may exist within the system of rigid pin gratings. Analytical findings are accompanied by numerical examples.

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