Stability of a thermoelastic laminated system subject to a neutral delay

In this work, we consider a system of two identical beams of uniform thickness modeled as a Timoshenko system. The slip between the beams is taken into account, and the system is coupled with a heat equation. Moreover, the slip equation is subject to a distributed delay of neutral type. Delays are k...

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Bibliographic Details
Published inMathematical methods in the applied sciences Vol. 43; no. 1; pp. 281 - 304
Main Authors Seghour, Lamia, Tatar, Nasser‐eddine, Berkani, Amirouche
Format Journal Article
LanguageEnglish
Published Freiburg Wiley Subscription Services, Inc 15.01.2020
Subjects
Damping
Delay
exponential decay
laminated beams
multiplier technique
neutral delay
Polynomials
Slip
stability
Thermodynamics
timoshenko system
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Summary:In this work, we consider a system of two identical beams of uniform thickness modeled as a Timoshenko system. The slip between the beams is taken into account, and the system is coupled with a heat equation. Moreover, the slip equation is subject to a distributed delay of neutral type. Delays are known to be of a destructive nature in general. Therefore, here, the delay will compete with a frictional damping and the dissipation produced by the heat equation. We provide sufficient conditions ensuring exponential and polynomial stability of the structure.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.5878