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Explicit model for
bending edge wave on an elastic orthotropic plate supported
by the Winkler–Fuss foundation
Saad N. Althobaiti, Anatolij Nikonov and Danila Prikazchikov |
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Vol. 16 (2021), No. 4, 543–554
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Abstract |
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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. |
Keywords
elastic, plate, bending, edge wave, explicit model
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Milestones
Received: 11 May 2021
Revised: 27 June 2021
Accepted: 2 July 2021
Published: 9 November 2021
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Authors |
| Saad N. Althobaiti | |
| Department of Science and
Technology Ranyah University College, Taif University Taif 21944 Saudi Arabia |
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| Anatolij Nikonov | |
| Department of Mechanics, Design and
Computer Engineering Faculty of Industrial Engineering Novo mesto 8000 Novo mesto Slovenia |
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| Danila Prikazchikov | |
| School of Computing and
Mathematics Keele University Keele, ST5 5BG United Kingdom |
Faculty of Mechanics and
Mathematics al-Farabi Kazakh National University Almaty Kazakhstan |
