The paper is concerned with a bending edge wave on a thin orthotropic elastic plate
resting on a Winkler–Fuss foundation. The main focus of the contribution is on
derivation of a specialised reduced model accounting for the contribution of the
bending edge wave to the overall dynamic response, allowing simplified analysis for a
number of dynamic problems. The developed formulation includes an elliptic
equation associated with decay over the interior, and a beam-like equation on the
edge governing wave propagation accounting for both bending moment and
modified shear force excitation, thus highlighting a dual parabolic-elliptic nature
of the bending edge wave. A model example illustrates the benefits of the
approach.
Keywords
elastic, plate, bending, edge wave, explicit model