Abstract
This paper deals with Timoshenko’s classic model for beams vibrations. Regarding the linear model of Timoshenko, there are several known results on exponential decay, controllability and numerical approximation, but there are few results that deal with the nonlinear case or even the linear case with delay type damping. In this paper, we will establish the existence of global and exponential attractors for a semilinear Timoshenko system with delay in the rotation angle equation and a friction-type damping in the transverse displacement equation. Since the damping acts on the two equations of the system, we should not assume the well-known velocity equality.
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