TY - JOUR
T1 - Exponential stability for laminated beams with intermediate damping
AU - Cabanillas, Victor R.
AU - Raposo, Carlos A.
N1 - Publisher Copyright:
© 2022, Springer Nature Switzerland AG.
PY - 2022/6/1
Y1 - 2022/6/1
N2 - In this manuscript, we consider a system composed of two identical Timoshenko beams joined by an adhesive layer of negligible thickness, producing an interfacial slip. We introduce a dissipative mechanism not previously considered given by α(- Δ) θut, 0 ≤ θ≤ 1 , α> 0 , which includes the frictional damping case (θ= 0) and the Kelvin–Voigt damping case (θ= 1). Using the semigroup theory of linear operators, we show the well-posedness of the system and demonstrate that its solutions decay exponentially.
AB - In this manuscript, we consider a system composed of two identical Timoshenko beams joined by an adhesive layer of negligible thickness, producing an interfacial slip. We introduce a dissipative mechanism not previously considered given by α(- Δ) θut, 0 ≤ θ≤ 1 , α> 0 , which includes the frictional damping case (θ= 0) and the Kelvin–Voigt damping case (θ= 1). Using the semigroup theory of linear operators, we show the well-posedness of the system and demonstrate that its solutions decay exponentially.
KW - Exponential decay
KW - Global solution
KW - Intermediate damping
KW - Laminated beam
UR - https://hdl.handle.net/20.500.12724/17870
UR - http://www.scopus.com/inward/record.url?scp=85127113790&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/33a37b0d-a539-321f-b6aa-1584d7e19e1b/
U2 - 10.1007/s00013-022-01730-4
DO - 10.1007/s00013-022-01730-4
M3 - Artículo (Contribución a Revista)
AN - SCOPUS:85127113790
SN - 0003-889X
VL - 118
SP - 625
EP - 635
JO - Archiv der Mathematik
JF - Archiv der Mathematik
ER -