 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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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 2018 | Revised |
22 June 2019 | Accepted |
16 December 2019 |
| Link to Fulltext |
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