Decay rates of strongly damped infinite laminated beams

Bautista G.J.; Cabanillas V.R.; Potenciano-Machado L.; Quispe Méndez T. · Journal of Mathematical Analysis and Applications (2024) · DOI: 10.1016/j.jmaa.2024.128229

Resumen

In this paper, we study the stability of a Timoshenko laminated beam model with Kelvin-Voigt dampings. We consider both the case of the fully damped and partially damped system in which two dampings are effective on the system. Using the energy method, Fourier analysis and the construction of functionals with suitable weights, we obtain exponential and polynomial decay estimates for the solution of the system and its higher-order derivatives. The polynomial decay rates obtained depend on the regularity of the initial data and vary according to the position of the damping terms.

Instituciones: Universidad Nacional Mayor de San Marcos; Universidad de Lima; Universidad Tecnológica de los Andes