Pontes suspenas modeladas através de vigas de Timoshenko-Ehrenfest.

Abstract

This work deals with the global existence of a solution and the asymptotic behavior for three suspension bridge models: fully damped with friction, partially damped with friction and fully damped with Kelvin-Voigt type viscoelasticity. For both models, semigroup theory is applied to prove the global existence of the solution and to analyze the asymptotic behavior. In the first model mentioned above, we obtain analyticity for the associated semigroup, a property that implies the exponential decay of the solution. For the second we obtain exponential decay, if the condition k/ρ1= b/ρ2 is valid and otherwise the polynomial decay is valid. Finally, for the last model, we obtain exponential decay.