title: The edge wave on an elastically supported Kirchhoff plate.
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.
authors.affiliation: School of Computing and Mathematics, Keele University, Keele, Staffordshire, ST5 5BG, United Kingdom.
authors.forename: Julius
authors.initials: J
authors.lastname: Kaplunov
authors.affiliation: School of Computing and Mathematics, Keele University, Keele, Staffordshire, ST5 5BG, United Kingdom.
authors.forename: Danila A
authors.initials: DA
authors.lastname: Prikazchikov
authors.affiliation: School of Computing and Mathematics, Keele University, Keele, Staffordshire, ST5 5BG, United Kingdom.
authors.forename: Graham A
authors.initials: GA
authors.lastname: Rogerson
authors.affiliation: Faculty of Science, University of Almergeb, Zliten, Libya.
authors.forename: Mohamed I
authors.initials: MI
authors.lastname: Lashab