LONG-TIME DYNAMICS OF LAMINATED BEAMS WITH NONLINEAR LOCALIZED DAMPING AND SOURCE TERMS
This paper is concerned with the long-time dynamics of the model
of a laminated Timoshenko beam, which is a structure given by two-layered
beams with structural damping as a result of an interfacial slip, with nonlinear
localized damping mechanisms placed on an arbitrarily small support. We
prove that the system admits a global attractor which is characterized as an
unstable manifold of the set of stationary solutions. The regularity and finite
fractal dimension of the global attractor is also proved. Finally, we obtain the
existence of a generalized exponential attractor. All results are proved without
any restrictions on the coefficients and the assumption of equal wave speed
propagation.
This paper is concerned with the long-time dynamics of the model
of a laminated Timoshenko beam, which is a structure given by two-layered
beams with structural damping as a result of an…
In this work, we consider a thermoelastic laminated beam system with
microtemperature effects in case of zero thermal conductivity. We prove that the
dissipation due to the microtemperatures…
This paper addresses the global existence and asymptotic behavior of solutions to a logarithmic wave equation posed in a bounded domain and incorporating strong damping, a fractional time…