Uniform Stability of a Laminated Beam with Structural Memory

Assane Lo ^[1] ; Nasser-eddine Tatar ^[1]
1. [1] King Fahd University of Petroleum and Minerals
  
  King Fahd University of Petroleum and Minerals
  
  Arabia Saudí
Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 15, Nº 2, 2016, págs. 517-540
Idioma: inglés
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Resumen
- Of concern is a structure consisting of two identical beams of uniform thickness. The beams are fastened tightly but still allowing an interfacial slip between the two components. This means that we are in presence of a longitudinal displacement and at the same time keeping a continuous contact of the layers. These beams are also subject to rotatory inertia and shear forces. We prove uniform stability of the system when a viscoelastic damping acts on the effective rotation and in the slip. This extends previous works where boundary controls were used in addition to a frictional damping in the dynamic of the slip.