Existence and continuous dependence of solutions for equilibrium configurations of cantilever beam-Reference-Cited by-同舟云学术

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

Published:2022 Issue:12 Volume:19 Page:12279-12302
ISSN:1551-0018
Container-title:Mathematical Biosciences and Engineering
language:
Short-container-title:MBE

Author:

Suechoei Apassara¹²,Ngiamsunthorn Parinya Sa¹,Chatanin Waraporn¹,Chucheepsakul Somchai³,Athisakul Chainarong³,Songsanga Danuruj¹,Songsuwan Nuttanon¹

Affiliation:

1. Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi, Bangkok 10140, Thailand

2. Learning Institute, King Mongkut's University of Technology Thonburi, Bangkok 10140, Thailand

3. Department of Civil Engineering, Faculty of Engineering, King Mongkut's University of Technology Thonburi, Bangkok 10140, Thailand

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine

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