Exponential stability for laminated beams with a frictional damping

Exponential stability for laminated beams with a frictional damping

We study a laminated beam which consists of two identical layers of uniform thickness, taking into account that an adhesive of small thickness is bonding the two surfaces thereby producing an interfacial slip. We show that when the frictional damping acts on the effective rotation angle there is no...

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Veröffentlicht in:Archiv der Mathematik 2020-04, Vol.114 (4), p.471-480
Hauptverfasser: Apalara, Tijani A., Raposo, Carlos A., Nonato, Carlos A. S.
Format: Artikel
Sprache:eng
Schlagworte:
Boundary control
Control stability
Damping
Laminates
Mathematics
Mathematics and Statistics
Thickness
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Zusammenfassung:We study a laminated beam which consists of two identical layers of uniform thickness, taking into account that an adhesive of small thickness is bonding the two surfaces thereby producing an interfacial slip. We show that when the frictional damping acts on the effective rotation angle there is no need for any other kind of internal or boundary control to produce exponential stability for the system.
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-019-01427-1