TY - JOUR
T1 - Optimal stability results for laminated beams with Kelvin-Voigt damping and delay
AU - Cabanillas Zannini, Victor
AU - Potenciano-Machado, Leyter
AU - Quispe Méndez, Teófanes
N1 - Publisher Copyright:
© 2022 Elsevier Inc.
PY - 2022/10/1
Y1 - 2022/10/1
N2 - 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.
AB - 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.
KW - Delay
KW - Exponential stability
KW - Kelvin-Voigt damping
KW - Laminated beams
KW - Optimal decay rate
KW - Polynomial stability
UR - http://www.scopus.com/inward/record.url?scp=85130385295&partnerID=8YFLogxK
U2 - 10.1016/j.jmaa.2022.126328
DO - 10.1016/j.jmaa.2022.126328
M3 - Artículo (Contribución a Revista)
AN - SCOPUS:85130385295
SN - 0022-247X
VL - 514
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
M1 - 126328
ER -