Skip to main content

Research Repository

Advanced Search

Explicit model for bending edge wave on an elastic orthotropic plate supported by the Winkler–Fuss foundation

Althobaiti, Saad N.; Nikonov, Anatolij; Prikazchikov, Danila

Explicit model for bending edge wave on an elastic orthotropic plate supported by the Winkler–Fuss foundation Thumbnail


Authors

Saad N. Althobaiti

Anatolij Nikonov



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

Files




You might also like



Downloadable Citations