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An edge moving load on an orthotropic plate resting on a Winkler foundation

Althobaiti, Saad N.; Kaplunov, Julius; Prikazchikov, Danila A.

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Authors

Saad N. Althobaiti



Abstract

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.

Journal Article Type Article
Acceptance Date Sep 12, 2017
Online Publication Date Sep 12, 2017
Publication Date Sep 12, 2017
Publicly Available Date Mar 28, 2024
Journal Procedia Engineering
Print ISSN 1877-7058
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 199
Pages 2579-2584
Series Title EURODYN-2017
DOI https://doi.org/10.1016/j.proeng.2017.09.340
Keywords moving load, edge wave, orthotropic plate, Winkler foundation
Publisher URL https://doi.org/10.1016/j.proeng.2017.09.340

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