Optimal stability results for laminated beams with Kelvin-Voigt damping and delay

Victor Cabanillas Zannini, Leyter Potenciano-Machado, Teófanes Quispe Méndez

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

1 Scopus citations


We use semigroup theory to prove the well-posedness and get exponential and polynomial stability estimates for a delayed laminated beam system with Kelvin-Voigt damping. The Kelvin-Voigt damping only acts either on the transverse displacement or the effective rotational angle. The presence and absence of structural damping are also analyzed in both cases. The stability results follow using Gearhart-Prüss-Huang's theorem (exponential stability) and Borichev-Tomilov's theorem (polynomial stability). We also get optimal decay rates in the case of polynomial stability.

Original languageEnglish
Article number126328
JournalJournal of Mathematical Analysis and Applications
Issue number2
StatePublished - 1 Oct 2022


  • Delay
  • Exponential stability
  • Kelvin-Voigt damping
  • Laminated beams
  • Optimal decay rate
  • Polynomial stability


Dive into the research topics of 'Optimal stability results for laminated beams with Kelvin-Voigt damping and delay'. Together they form a unique fingerprint.

Cite this