ON THE STABILITY OF A THERMOELASTIC LAMINATED BEAM

doi:10.1007/s10473-019-0604-9

数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (6): 1517-1524.doi: 10.1007/s10473-019-0604-9

ON THE STABILITY OF A THERMOELASTIC LAMINATED BEAM

Tijani A. APALARA

Department of Mathematics, University of Hafr Al-Batin, Hafr Al-Batin 31991, Saudi Arabia

收稿日期:2018-08-31 修回日期:2019-01-05 出版日期:2019-12-25 发布日期:2019-12-30
作者简介:Tijani A. APALARA,E-mail:tijani@uhb.edu.sa

ON THE STABILITY OF A THERMOELASTIC LAMINATED BEAM

Tijani A. APALARA

Department of Mathematics, University of Hafr Al-Batin, Hafr Al-Batin 31991, Saudi Arabia

Received:2018-08-31 Revised:2019-01-05 Online:2019-12-25 Published:2019-12-30

摘要/Abstract

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.

关键词: laminated beam, interfacial slip, thermoelasticity, exponential stability

Abstract: 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.

Key words: laminated beam, interfacial slip, thermoelasticity, exponential stability

中图分类号:

35B40

Tijani A. APALARA. ON THE STABILITY OF A THERMOELASTIC LAMINATED BEAM[J]. 数学物理学报(英文版), 2019, 39(6): 1517-1524.

Tijani A. APALARA. ON THE STABILITY OF A THERMOELASTIC LAMINATED BEAM[J]. Acta mathematica scientia,Series B, 2019, 39(6): 1517-1524.

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ON THE STABILITY OF A THERMOELASTIC LAMINATED BEAM

ON THE STABILITY OF A THERMOELASTIC LAMINATED BEAM

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