Althobaiti, S, Kaplunov, J and Prikazchikov, D (2017) An edge moving load on an orthotropic plate resting on a Winkler foundation. Procedia Engineering, 199. pp. 2579-2584. ISSN 1877-7058

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Steady-state motion of a bending moment along the edge of a semi-infinite orthotropic Kirchhoff plate supported by a Winkler foundation is considered. The analysis of the dispersion relation reveals a local minimum of the phase velocity, coinciding with the value of the group velocity, corresponding to the critical speed of the moving load. In contrast to a free plate, the bending edge wave on an elastically supported plate possesses a cut-off frequency, arising due to the stiffening effect of the foundation. It is shown that the steady-state solution of a moving load problem corresponds to a beam-like edge behaviour. This feature is then confirmed from the specialised parabolic-elliptic formulation, which is oriented to extracting the contribution of the bending edge wave to the overall dynamic response.

Item Type: Article
Additional Information: © 2017 The Authors. This is the final published version of the article (version of record). It first appeared online via Elsevier at - please refer to any applicable terms of use of the publisher.
Uncontrolled Keywords: moving load, edge wave, orthotropic plate, Winkler foundation
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Natural Sciences > School of Computing and Mathematics
Depositing User: Symplectic
Date Deposited: 14 Sep 2017 09:32
Last Modified: 14 Sep 2017 09:40

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