On the Stability of a Thermoelastic Laminated Beam

被引：49

作者：

Apalara, Tijani A. ^{[1
]}

机构：

[1] Univ Hafr Al Batin, Dept Math, Hafar al Batin 31991, Saudi Arabia

来源：

ACTA MATHEMATICA SCIENTIA | 2019年 / 39卷 / 06期

关键词：

laminated beam; interfacial slip; thermoelasticity; exponential stability; EXPONENTIAL STABILIZATION; DECAY;

D O I：

10.1007/s10473-019-0604-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider a one-dimensional laminated beam system. The only dissipation in the system is through heat conduction in the interfacial slip equation. We prove that this unique dissipation is strong enough to exponentially stabilize the system provided the wave speeds of the system are equal. This result extends previous works where additional internal or boundary controls were used together with a frictional damping in the interfacial slip.

引用

页码：1517 / 1524

页数：8

共 20 条

[11] GENERAL DECAY FOR A LAMINATED BEAM WITH STRUCTURAL DAMPING AND MEMORY: THE CASE OF NON-EQUAL WAVE SPEEDS [J].

Li, Gang ;

Kong, Xiangyu ;

Liu, Wenjun .

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2018, 30 (01) :95-116

[12] WEAK STABILITY OF A LAMINATED BEAM [J].

Li, Yanfang ;

Liu, Zhuangyi ;

Wang, Yang .

MATHEMATICAL CONTROL AND RELATED FIELDS, 2018, 8 (3-4) :789-808

[13]

LO A, 2015, J DIFFER EQUATIONS, V2015, P129

[14] Uniform Stability of a Laminated Beam with Structural Memory [J].

Lo, Assane ;

Tatar, Nasser-eddine .

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2016, 15 (02) :517-540

[15] EXPONENTIAL STABILIZATION OF A STRUCTURE WITH INTERFACIAL SLIP [J].

Lo, Assane ;

Tatar, Nasser-Eddine .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2016, 36 (11) :6285-6306

[16] Boundary control of laminated beams with interfacial slip [J].

Mustafa, Muhammad I. .

JOURNAL OF MATHEMATICAL PHYSICS, 2018, 59 (05)

[17] On the stabilization of viscoelastic laminated beams with interfacial slip [J].

Mustafa, Muhammad I. .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2018, 69 (02)

[18] Hybrid laminated Timoshenko beam [J].

Raposo, C. A. ;

Villagran, O. V. ;

Munoz Rivera, J. E. ;

Alves, M. S. .

JOURNAL OF MATHEMATICAL PHYSICS, 2017, 58 (10)

[19] Exponential stability for a structure with interfacial slip and frictional damping [J].

Raposo, C. A. .

APPLIED MATHEMATICS LETTERS, 2016, 53 :85-91

[20] Exponential stabilization of laminated beams with structural damping and boundary feedback controls [J].

Wang, JM ;

Xu, GQ ;

Yung, SP .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2005, 44 (05) :1575-1597

← 1 2 →