Exponential stability for laminated beams with intermediate damping

Cabanillas V.R.; Raposo C.A. · Archiv der Mathematik (2022) · DOI: 10.1007/s00013-022-01730-4

Resumen

In this manuscript, we consider a system composed of two identical Timoshenko beams joined by an adhesive layer of negligible thickness, producing an interfacial slip. We introduce a dissipative mechanism not previously considered given by α(- Δ) θut, 0 ≤ θ≤ 1 , α> 0 , which includes the frictional damping case (θ= 0) and the Kelvin–Voigt damping case (θ= 1). Using the semigroup theory of linear operators, we show the well-posedness of the system and demonstrate that its solutions decay exponentially.

Instituciones: Universidad de Lima