Stabilization of the Timoshenko Beam by Thermal Effect

Abdelhak Djebabla; Nasser Eddine Tatar

doi:10.1007/s00009-010-0058-8

Stabilization of the Timoshenko Beam by Thermal Effect

Abdelhak Djebabla
, Nasser Eddine Tatar^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

We consider a linear system of Timoshenko type in a bounded interval. No dissipative mechanism is added in the system or at the edges of the beam. The damping occurs through a thermal effect by coupling the system with a heat equation suggested by Green and Naghdi. We prove exponential decay of solutions of the augmented system.

Original language	English
Pages (from-to)	373-385
Number of pages	13
Journal	Mediterranean Journal of Mathematics
Volume	7
Issue number	3
DOIs	https://doi.org/10.1007/s00009-010-0058-8
State	Published - 2010

Keywords

Exponential decay
Lyapunov functional
Timoshenko beam
thermal effect

ASJC Scopus subject areas

General Mathematics

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10.1007/s00009-010-0058-8

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title = "Stabilization of the Timoshenko Beam by Thermal Effect",

abstract = "We consider a linear system of Timoshenko type in a bounded interval. No dissipative mechanism is added in the system or at the edges of the beam. The damping occurs through a thermal effect by coupling the system with a heat equation suggested by Green and Naghdi. We prove exponential decay of solutions of the augmented system.",

keywords = "Exponential decay, Lyapunov functional, Timoshenko beam, thermal effect",

author = "Abdelhak Djebabla and Tatar, \{Nasser Eddine\}",

year = "2010",

doi = "10.1007/s00009-010-0058-8",

language = "English",

volume = "7",

pages = "373--385",

journal = "Mediterranean Journal of Mathematics",

issn = "1660-5446",

publisher = "Springer International Publishing",

number = "3",

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T1 - Stabilization of the Timoshenko Beam by Thermal Effect

AU - Djebabla, Abdelhak

AU - Tatar, Nasser Eddine

PY - 2010

Y1 - 2010

N2 - We consider a linear system of Timoshenko type in a bounded interval. No dissipative mechanism is added in the system or at the edges of the beam. The damping occurs through a thermal effect by coupling the system with a heat equation suggested by Green and Naghdi. We prove exponential decay of solutions of the augmented system.

AB - We consider a linear system of Timoshenko type in a bounded interval. No dissipative mechanism is added in the system or at the edges of the beam. The damping occurs through a thermal effect by coupling the system with a heat equation suggested by Green and Naghdi. We prove exponential decay of solutions of the augmented system.

KW - Exponential decay

KW - Lyapunov functional

KW - Timoshenko beam

KW - thermal effect

UR - https://www.scopus.com/pages/publications/77955774400

U2 - 10.1007/s00009-010-0058-8

DO - 10.1007/s00009-010-0058-8

M3 - Article

AN - SCOPUS:77955774400

SN - 1660-5446

VL - 7

SP - 373

EP - 385

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

IS - 3

ER -

Stabilization of the Timoshenko Beam by Thermal Effect

Abstract

Keywords

ASJC Scopus subject areas

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