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Theoretical and Applied Mechanics, 2023, Volume 50, Issue 1, Pages 13–24
DOI: https://doi.org/10.2298/TAM220811002L (Mi tam123) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Arbitrary decay for a nonlinear Euler-Bernoulli beam with neutral delay

Ibrahim Lakehala, Djamila Benterkia, Khaled Zennirbc

a Faculty of Mathematics and Computer Science, University Mohamed El Bachir El Ibrahimi, Bordj Bou Arredridj, Algeria
b Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass, Saudi Arabia
c Laboratoire de Mathématiques Appliquées et de Modélisation, Université 8 Mai 1945 Guelma, Guelma, Algérie
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DOI: https://doi.org/10.2298/TAM220811002L
Abstract: In this paper, the free transverse vibration of a nonlinear Euler-Bernoulli beam under a neutral type delay is considered. In order to suppress the beam transverse vibrations, a boundary control based on the Lyapunov method is designed. The novelty of this paper is the ability to get a wide variety of energy decay rates under free vibration conditions.
Keywords: Euler-Bernoulli beam, neutral delay, arbitrary decay, boundary control.
Received: 11.08.2022
Accepted: 15.01.2023
Document Type: Article
MSC: 34K30, 35R09, 35R10
Language: English
Citation: Ibrahim Lakehal, Djamila Benterki, Khaled Zennir, “Arbitrary decay for a nonlinear Euler-Bernoulli beam with neutral delay”, Theor. Appl. Mech., 50:1 (2023), 13–24
Citation in format AMSBIB
\Bibitem{LakBenZen23}
\by Ibrahim~Lakehal, Djamila~Benterki, Khaled~Zennir
\paper Arbitrary decay for a nonlinear Euler-Bernoulli beam with neutral delay
\jour Theor. Appl. Mech.
\yr 2023
\vol 50
\issue 1
\pages 13--24
\mathnet{http://mi.mathnet.ru/tam123}
\crossref{https://doi.org/10.2298/TAM220811002L}
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    • This publication is cited in the following 2 articles:
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