Journal of Theoretical
and Applied Mechanics
40, 1, pp. 159-177, Warsaw 2002
and Applied Mechanics
40, 1, pp. 159-177, Warsaw 2002
Dynamic behaviour of an elastic layer with undulating boundaries
Dynamic behaviour of an elastic layer with periodically undulating boundaries and resting on a rigid base is investigated. To this end a certain simplified averaged 2D-model of the layer is proposed as a tool of the analysis. The obtained model is applied to study some wave propagation problems. It is shown that the periodic shape of the boundaries leads to the dispersion of waves propagating along the unbounded layer.
Keywords: dynamics; elastic layer; modelling