Saad N. Althobaiti
Explicit model for bending edge wave on an elastic orthotropic plate supported by the Winkler–Fuss foundation
Althobaiti, Saad N.; Nikonov, Anatolij; Prikazchikov, Danila
Abstract
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.
Journal Article Type | Article |
---|---|
Acceptance Date | Jul 2, 2021 |
Publication Date | Nov 9, 2021 |
Publicly Available Date | Mar 29, 2024 |
Journal | Journal of Mechanics of Materials and Structures |
Publisher | Mathematical Sciences Publishers |
Peer Reviewed | Peer Reviewed |
Volume | 16 |
Issue | 4 |
Pages | 543 - 554 |
DOI | https://doi.org/10.2140/jomms.2021.16.543 |
Publisher URL | https://msp.org/jomms/2021/16-4/p12.xhtml |
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Publisher Licence URL
https://creativecommons.org/licenses/by-nc/4.0/
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