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Decay rates of strongly damped infinite laminated beams
(Academic Press Inc., 2024)
Acceso abierto
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 ...
Optimal stability for laminated beams with Kelvin-Voigt damping and Fourier's law
(IOS Press BV, 2024)
Acceso restringido
This article deals with the asymptotic behavior of a mathematical model for laminated beams with Kelvin-Voigt dissipation acting on the equations of transverse displacement and dimensionless slip. We prove that the evolution ...
Asymptotic behavior of the Rao–Nakra sandwich beam model with Kelvin–Voigt damping
(SAGE Publications, 2024)
Acceso restringido
The Rao–Nakra sandwich beam is a coupled system consisting of two wave equations for the longitudinal displacements of the top and bottom layers and an Euler–Bernoulli beam equation for the transversal displacement. This ...
Laminated beams with thermoelasticity acting on the shear force
(John Wiley & Sons, Ltd., 2023)
Acceso restringido
In this paper, we study the stabilization of a laminated beam system under the action of a new thermal coupling. Motivated by the work of Almeida Júnior et al. in the context of the Timoshenko system, we consider a ...
Blow-up results for a viscoelastic beam equation of p-Laplacian type with strong damping and logarithmic source
(John Wiley and Sons, 2023)
Acceso restringido
In this paper, we investigate the existence, uniqueness, exponential decay, and blow-up behavior of the viscoelastic beam equation involving the (Formula presented.) -Laplacian operator, strong damping, and a logarithmic ...
Exponential and polynomial stabilization of laminated beams with two history memories
(American Institute of Mathematical Sciences, 2023)
Acceso restringido
In this paper, a laminated beam system with two history-type controls is studied. One of the controls acts on the effective rotation angle and the other on the slip equation. The latter control replaces the structural ...
Stability Results for a Laminated Beam with Kelvin–Voigt Damping
(Springer, 2023)
Acceso restringido
In this work, we consider a laminated beam subjected to Kelvin–Voigt damping. Under the semigroup theory approach, applying the Lumer–Phillips Theorem, we establish the well-posedness of the associated initial value problem. ...
Nonuniform laminated beam of Lord–Shulman type
(John Wiley and Sons Inc, 2022)
Acceso restringido
The nonuniform thermoelastic laminated beam of the Lord–Shulman type is considered. The model is a two-layered beam with structural damping due to the interfacial slip. The well-posedness is proved by the semigroup theory ...
Exponential stability for laminated beams with intermediate damping
(Springer, 2022)
Acceso restringido
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 ...
Optimal polynomial stability for laminated beams with Kelvin–Voigt damping
(Wiley-Blackwell, 2022)
Acceso restringido
In this manuscript, we study the asymptotic behavior of two laminated beams systems formed by two identical layers of uniform thickness, whose surfaces are held together by an adhesive layer that allows interfacial sliding. ...