Geodesic
Arbitrary decay for a nonlinear Euler-Bernoulli beam with neutral delay
Theoretical and applied mechanics, Tome 50 (2023) no. 1

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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.
Keywords: Euler-Bernoulli beam, neutral delay, arbitrary decay, boundary control 
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     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 - 24},
     publisher = {mathdoc},
     volume = {50},
     number = {1},
     year = {2023},
     url = {http://geodesic.mathdoc.fr/item/TAM_2023_50_1_a2/}
}
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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. http://geodesic.mathdoc.fr/item/TAM_2023_50_1_a2/