Arbitrary decay for a nonlinear Euler-Bernoulli beam with neutral delay-Reference-Cited by-同舟云学术

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

Published:2023 Issue:1 Volume:50 Page:13-24
ISSN:1450-5584
Container-title:Theoretical and Applied Mechanics
language:en
Short-container-title:Theor appl mech (Belgr)

Author:

Lakehal Ibrahim¹,Benterki Djamila¹,Zennir Khaled²

Affiliation:

1. Faculty of Mathematics and Computer Science, University Mohamed El Bachir El Ibrahimi, Bordj Bou Arredridj, Algeria

2. Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass, Saudi Arabia + Laboratoire de Mathématiques, Appliquées et de Modélisation, Guelma, Algérie

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.

Publisher

National Library of Serbia

Subject

Applied Mathematics,Mechanical Engineering,Computational Mechanics

Reference14 articles.

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3. M.P. Fard, S. I. Sagatun, Boundary control of a transversely vibrating beam via Lyapunov method, Proceedings of 5th IFAC Conference on Manoeuvring and Control of Marine Craft. Aalborg, Denmark, pp. 263-268, 2000.

4. G. Chen, Energy decay estimates and exact boundary value controllability for the wave equation in a bounded domain, J. Math. Pure. Appl. 58 (1979), 249-273.

5. S. A. Compell, J. Bélair, T. Ocira, J. Milton, Complex dynamics and multistability in a damped harmonic oscillator with delayed negative feedback, Chaos 5(4) (1995), 640-645.

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