Exponential stability for laminated beams with intermediate damping

Victor R. Cabanillas, Carlos A. Raposo

Research output: Contribution to journalArticle (Contribution to Journal)peer-review

3 Scopus citations


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.

Original languageEnglish
Pages (from-to)625-635
Number of pages11
JournalArchiv der Mathematik
StatePublished - 1 Jun 2022


  • Exponential decay
  • Global solution
  • Intermediate damping
  • Laminated beam


  • Article


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