Arbitrary decay for a nonlinear Euler-Bernoulli beam with neutral delay
Theoretical and applied mechanics, Tome 50 (2023) no. 1, p. 13
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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.
Classification :
34K30, 35R09, 35R10
Keywords: Euler-Bernoulli beam, neutral delay, arbitrary decay, boundary control
Keywords: Euler-Bernoulli beam, neutral delay, arbitrary decay, boundary control
Ibrahim Lakehal; Djamila Benterki; Khaled Zennir. Arbitrary decay for a nonlinear Euler-Bernoulli beam with neutral delay. Theoretical and applied mechanics, Tome 50 (2023) no. 1, p. 13 . doi: 10.2298/TAM220811002L
@article{10_2298_TAM220811002L,
author = {Ibrahim Lakehal and Djamila Benterki and Khaled Zennir},
title = {Arbitrary decay for a nonlinear {Euler-Bernoulli} beam with neutral delay},
journal = {Theoretical and applied mechanics},
pages = {13 },
year = {2023},
volume = {50},
number = {1},
doi = {10.2298/TAM220811002L},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/TAM220811002L/}
}
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%0 Journal Article %A Ibrahim Lakehal %A Djamila Benterki %A Khaled Zennir %T Arbitrary decay for a nonlinear Euler-Bernoulli beam with neutral delay %J Theoretical and applied mechanics %D 2023 %P 13 %V 50 %N 1 %U http://geodesic.mathdoc.fr/articles/10.2298/TAM220811002L/ %R 10.2298/TAM220811002L %G en %F 10_2298_TAM220811002L
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