Explicit model for bending edge wave on an elastic orthotropic plate supported by the winkler–fuss foundation
Althobaiti S.N. Nikonov A. Prikazchikov D.
2021Mathematical Science Publishers
Journal of Mechanics of Materials and Structures
2021#16Issue 4543 - 554 pp.
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.
bending , edge wave , elastic , explicit model , plate
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Department of Science and Technology, Ranyah University College, Taif University, Taif, 21944, Saudi Arabia
Department of Mechanics, Design and Computer Engineering, Faculty of Industrial Engineering Novo mesto, Novo mesto, 8000, Slovenia
School of Computing and Mathematics, Keele University, Keele, ST5 5BG, United Kingdom
Faculty of Mechanics and Mathematics, al-Farabi Kazakh National University, Almaty, Kazakhstan
Department of Science and Technology
Department of Mechanics
School of Computing and Mathematics
Faculty of Mechanics and Mathematics
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