The edge waves on a Kirchhoff plate bilaterally supported by a two-parameter elastic foundation
نویسندگان
چکیده
In this paper, the bending waves propagating along the edge of a semi-infinite Kirchhoff plate resting on a two-parameter Pasternak elastic foundation are studied. Two geometries of the foundation are considered: either it is infinite or it is semi-infinite with the edges of the plate and of the foundation coinciding. Dispersion relations along with phase and group velocity expressions are obtained. It is shown that the semi-infinite foundation setup exhibits a cut-off frequency which is the same as for a Winkler foundation. The phase velocity possesses a School of Computing and Mathematics, Keele University, Keele, UK Dipartimento di Ingegneria Enzo Ferrari, Università di Modena e Reggio Emilia, Modena, Italy Corresponding author: Andrea Nobili, Dipartimento di Ingegneria Enzo Ferrari, Università di Modena e Reggio Emilia, via Vignolese 905, 41122, Modena, Italy, Email: [email protected]
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