ON THE STABILITY OF A THERMOELASTIC LAMINATED BEAM

doi:10.1007/s10473-019-0604-9

Abstract

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

CLC Number:

35B40

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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