Stability analysis of laminated beams with Kelvin-Voigt damping and strong time delay

被引：5

作者：

Nonato, C. A. ^{[1
]}

Raposo, C. A. ^{[1
]}

Feng, B. ^{[2
]}

Ramos, A. J. A. ^{[3
]}

机构：

[1] Univ Fed Bahia, Dept Math, Salvador, BA, Brazil

[2] Southwestern Univ Finance & Econ, Dept Math, Chengdu 611130, Peoples R China

[3] Fed Univ Para, Fac Math, Salinopolis, Para, Brazil

来源：

ASYMPTOTIC ANALYSIS | 2023年 / 132卷 / 3-4期

关键词：

Laminated beams; Kelvin-Voigt damping; strong delay; exponential decay; polynomial decay; EXPONENTIAL STABILITY; TIMOSHENKO SYSTEM; WELL-POSEDNESS; WAVE-EQUATION; BOUNDARY; THERMOELASTICITY; DECAY; TERM;

D O I：

10.3233/ASY-221802

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider a model of laminated beams combining viscoelastic damping and strong time-delayed damping. The global well-posedness is proved by using the theory of semigroups of linear operators. We prove the lack of exponential stability when the speed wave propagations are not equal. In fact, we show in this situation, that the system goes to zero polynomially with rate t-1/2. On the other hand, by constructing some suitable multipliers, we establish that the energy decays exponentially provided the equal-speed wave propagations hold.

引用

页码：549 / 574

页数：26

共 36 条

[1] On the Stability of a Thermoelastic Laminated Beam [J].