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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2021-1pp.131-137

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Tijani A. Apalara, "Exponential Stability of Laminated Beams with Interfacial Slip," Mech. Solids. 56 (1), 131-137 (2021)
Year 2021 Volume 56 Number 1 Pages 131-137
DOI 10.3103/S0025654421010039
Title Exponential Stability of Laminated Beams with Interfacial Slip
Author(s) Tijani A. Apalara (University of Hafr Al-Batin, Mathematics Department Hafr Al-Batin 31991, Saudi Arabia, tijani@uhb.edu.sa)
Abstract We study the stability of a one-dimensional laminated beam which consists of two identical layers of uniform thickness. An adhesive of small thickness is bonding the two layers and creating a restoring force thereby producing a damping called adhesive or structural damping at the interface. It is well-known in the literature that this single frictional damping is not strong enough to stabilize the system exponentially. On the contrary, we prove in this paper that the unique dissipation due to the structural damping is strong enough to exponentially stabilize the system provided the wave speeds of the system are equal.
Keywords Laminated beams, interfacial slip, adhesive damping, exponential stability
Received 24 October 2018Revised 22 June 2019Accepted 16 December 2019
Link to Fulltext https://link.springer.com/article/10.3103/S0025654421010039
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