Existence and continuous dependence of solutions for equilibrium configurations of cantilever beam

Journal article

Authors/Editors

Strategic Research Themes

Computational Science and Engineering (Digital Transformation)

Publication Details

Author list: Suechoei, Apassara; Ngiamsunthorn, Parinya Sa; Chatanin, Waraporn; Chucheepsakul, Somchai; Athisakul, Chainarong; Songsanga, Danuruj; Songsuwan, Nuttanon;

Publisher: AIMS Press

Publication year: 2022

Journal acronym: MBE

Volume number: 19

Issue number: 12

Start page: 12279

End page: 12302

Number of pages: 24

ISSN: 1547-1063

eISSN: 1551-0018

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85136522743&doi=10.3934%2fmbe.2022572&partnerID=40&md5=98e61d40eb2a9e7de1218e25bc1cf8fc

Languages: English-Great Britain (EN-GB)

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Abstract

This article explores the equilibrium configurations of a cantilever beam described by the minimizer of a generalized total energy functional. We reformulate the problem as a boundary value problem using the Euler-Lagrange condition and investigate the existence and uniqueness of minimizers. Furthermore, we discuss the dependence of solutions on the parameters of the boundary value problems. In addition, the Adomian decomposition method is derived for approximating the solution in terms of series. Finally, numerical results for the equilibrium configurations of cantilever beams are presented to support our theoretical analysis.

Keywords

equilibrium configuration; existence and uniqueness of solution; Euler-Lagrange theorem; Adomian decomposition method