Bending Analysis of Thick Plates on a Multi-Layered Elastic Foundation by Boundary Element Method

Journal article

Authors/Editors

Strategic Research Themes

Publication Details

Author list: Jirapong Chanadee;Boonme Chinnaboon;Somchai Chucheepsakul

Publisher: มหาวิทยาลัยเทคโนโลยีพระจอมเกล้าพระนครเหนือ

Publication year: 2024

Volume number: 34

Issue number: 1

Start page: 1

End page: 15

Number of pages: 15

ISSN: 2985-2080

eISSN: 2985-2145

URL: https://ph01.tci-thaijo.org/index.php/kmutnb-journal/article/view/256116

Languages: Thai (TH)

Abstract

In this paper, an analysis of the Mindlin plate on a multi- layered elastic foundation by Boundary Element Method (BEM) is presented. This analysis employed the principle of the analog equation. According to this concept, the governing differential equations of the original problem are replaced by Poisson’ s equations with fictitious sources under the same boundary conditions. Then the boundary element technique is applied to the established integral equations of solution. The radial basis function series is applied to approximate the fictitious sources. In this work, Thin Plate Splines (TPS) as the radial basis function are chosen. Domain integrals are converted to boundary integrals by employing boundary element technique. Consequently, the solutions of the problem are obtained by boundary integral equation in which the boundary of the problem is only discretized into elements. From this study, the results can be summarized as follows: 1) The results of the plate analyzed by the boundary element method compared with analytical solutions are excellent in terms of accuracy. 2) The boundary conditions directly affect behaviors of the plate structures. 3 ) A number of foundation layers have an influence on numerical results of structural responses. 4) In the analysis of plates with complex shapes, the results from the proposed method are in good agreement with those obtained from the finite element method.

Keywords

ฐานรากยืดหยุ่นหลายชั้น, แผ่นพื้นหนามินด์ลิน, เรเดียลเบสิสฟังก์ชัน, วิธีสมการแอนะล็อก