A1 Journal article (refereed)
Optimal stability results for laminated beams with Kelvin-Voigt damping and delay (2022)

Cabanillas, Z. V., Potenciano-Machado, L., & Quispe, M. T. (2022). Optimal stability results for laminated beams with Kelvin-Voigt damping and delay. Journal of Mathematical Analysis and Applications, 514(2), Article 126328. https://doi.org/10.1016/j.jmaa.2022.126328

JYU authors or editors

Publication details

All authors or editors: Cabanillas, Zannini Victor; Potenciano-Machado, Leyter; Quispe, Méndez Teófanes

Journal or series: Journal of Mathematical Analysis and Applications

ISSN: 0022-247X

eISSN: 1096-0813

Publication year: 2022

Publication date: 12/05/2022

Volume: 514

Issue number: 2

Article number: 126328

Publisher: Elsevier

Publication country: United States

Publication language: English

DOI: https://doi.org/10.1016/j.jmaa.2022.126328

Publication open access: Not open

Publication channel open access: 

Abstract

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.

Keywords: mechanics; material technology; laminated materials; beams (skeleton constructions); stability (physics); mathematical models; differential equations; polynomials

Free keywords: Laminated beams; delay; Kelvin-Voigt damping; exponential stability; polynomial stability; optimal decay rate

Contributing organizations

Ministry reporting: Yes

Reporting Year: 2022

JUFO rating: 1