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

共 50 条

[41] Plasma Structure Decay Rates in the Equatorial Ionosphere Are Strongly Coupled by Turbulence
Ivarsen, M. F.
St-Maurice, J. -P.
Park, J.
Klenzing, J.
Jin, Y.
Lee, W.
GEOPHYSICAL RESEARCH LETTERS, 2024, 51 (18)
[42] On the Strongly Damped Wave Equation
Vittorino Pata
Marco Squassina
Communications in Mathematical Physics, 2005, 253 : 511 - 533
[43] History-dependent decay rates for a logistic equation with infinite delay
Appleby, John A. D.
Gyori, Istvan
Reynolds, David W.
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2011, 141 : 23 - 44
[44] Decay rates of energy of the 1D damped original nonlinear wave equation
Liu, Weijiu
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2022, 63
[45] Energy decay for a weakly nonlinear damped piezoelectric beams with magnetic effects and a nonlinear delay term
A. Soufyane
M. Afilal
M. L. Santos
Zeitschrift für angewandte Mathematik und Physik, 2021, 72
[46] Energy decay for a weakly nonlinear damped piezoelectric beams with magnetic effects and a nonlinear delay term
Soufyane, A.
Afilal, M.
Santos, M. L.
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2021, 72 (04):
[47] SHARP POLYNOMIAL DECAY RATES FOR THE DAMPED WAVE EQUATION WITH HOLDER-LIKE DAMPING
Datchev, Kiril
Kleinhenz, Perry
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 148 (08) : 3417 - 3425
[48] VIBRATORY BENDING OF DAMPED LAMINATED PLATES
DITARANTO, RA
MCGRAW, JR
JOURNAL OF ENGINEERING FOR INDUSTRY, 1969, 91 (04): : 1081 - +
[49] Charring rates for double beams made from laminated veneer lumber (LVL)
Tsai, Kevin
Carradine, David
Moss, Peter
Buchanan, Andrew
FIRE AND MATERIALS, 2013, 37 (01) : 58 - 74
[50] Optimal Blowup Rates for the Minimal Energy Null Control of the Strongly Damped Abstract Wave Equation
Avalos, George
Lasiecka, Irena
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2003, 2 (03) : 601 - 616

← 1 2 3 4 5 →