GENERAL AND OPTIMAL DECAY RESULT FOR A VISCOELASTIC TIMOSHENKO BEAM FIXED INTO A MOVING BASE
Abstract
A Timoshenko type beam subject to a viscoelastic and subject to a translational displacement is considered. The Timoshenko system is complemented by an ordinary differential equation describing the
dynamic of the base to which the beam is attached to. We prove some new decay results which generalize and improve many earlier ones in the literature. We consider the case of equal-speeds and the case of non-
equal-speeds of propagation.
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