EXPLICIT MODEL FOR BENDING EDGE WAVE ON AN ELASTIC ORTHOTROPIC PLATE SUPPORTED BY THE WINKLER-FUSS FOUNDATION

被引：6

作者：

Althobaiti, Saad N. ^{[1
]}

Nikonov, Anatolij ^{[2
]}

Prikazchikov, Danila ^{[3
,4
]}

机构：

[1] Taif Univ, Ranyah Univ Coll, Dept Sci & Technol, At Taif 21944, Saudi Arabia

[2] Fac Ind Engn Novo Mesto, Dept Mech Design & Comp Engn, Novo Mesto 8000, Slovenia

[3] Keele Univ, Sch Comp & Math, Keele ST5 5BG, Staffs, England

[4] Al Farabi Kazakh Natl Univ, Fac Mech & Math, Alma Ata, Kazakhstan

来源：

JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES | 2021年 / 16卷 / 04期

关键词：

elastic; plate; bending; edge wave; explicit model; EXISTENCE;

D O I：

10.2140/jomms.2021.16.543

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：543 / 554

页数：12

共 38 条

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