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

Cabanillas Zannini V.; Potenciano-Machado L.; Quispe Méndez T. · Journal of Mathematical Analysis and Applications (2022) · DOI: 10.1016/j.jmaa.2022.126328

Resumen

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.

Instituciones: Universidad Nacional Mayor de San Marcos; Universidad de Lima