Decay rates of strongly damped infinite laminated beams

被引：0

作者：

Bautista, G. J. ^{[1
]}

Cabanillas, V. R. ^{[2
,3
]}

Potenciano-Machado, L. ^{[1
]}

Mendez, T. Quispe ^{[3
]}

机构：

[1] Univ Tecnol los Andes, Escuela Profes Ingn Civil, Fac Ingn, Sede Abancay, Apurimac, Peru

[2] Univ Lima, Programa Estudios Gen, Av Javier Prado Este 4600, Lima 15023, Peru

[3] Univ Nacl Mayor San Marcos, Fac Ciencias Matemat, Calle German Amezaga 375, Lima 15081, Peru

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2024年 / 536卷 / 02期

关键词：

Asymptotic behavior; Energy method; Fourier analysis; Laminated beams; Kelvin-Voigt damping; REGULARITY-LOSS TYPE; TIMOSHENKO SYSTEM; EXPONENTIAL STABILIZATION; PAST HISTORY; STABILITY; PROPERTY;

D O I：

10.1016/j.jmaa.2024.128229

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the stability of a Timoshenko laminated beam model with Kelvin-Voigt dampings. We consider both the case of the fully damped and partially damped system in which two dampings are effective on the system. Using the energy method, Fourier analysis and the construction of functionals with suitable weights, we obtain exponential and polynomial decay estimates for the solution of the system and its higher-order derivatives. The polynomial decay rates obtained depend on the regularity of the initial data and vary according to the position of the damping terms. (c) 2024 Elsevier Inc. All rights reserved.

引用

页数：26

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