Exponential stabilization of a structure with interfacial slip

Assane  Lo; Nasser-eddine Tatar

doi:10.3934/dcds.2016073

Article Contents

2016, Volume 36, Issue 11: 6285-6306. Doi: 10.3934/dcds.2016073

This issue Previous Article Ergodic geometry for non-elementary rank one manifolds Next Article Prescribing the Q-curvature on the sphere with conical singularities

Exponential stabilization of a structure with interfacial slip

Assane Lo^1, and
Nasser-eddine Tatar^2,

1.
University of Wollongong in Dubai, Dubai
2.
Department of Mathematics and Statistics, College of Sciences, King Fahd University of Petroleum and Minerals, P.O.Box. 5005, Dhahran 31261

Received: April 30, 2015

Revised: June 30, 2016

Published: May 2017

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Abstract

Two exponential stabilization results are proved for a vibrating structure subject to an interfacial slip. More precisely, the structure consists of two identical beams of Timoshenko type and clamped together but allowing for a longitudinal movement between the layers. We will stabilize the system through a transverse friction and also through a viscoelastic damping.

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Mathematics Subject Classification: 34B05, 34D05, 34H05.

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References

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