Use of an improved fractional derivative model for transient analyses of viscoelastic systems

Resumo

Vibration control is an important field in the study of structures. One of the ways commonly used to
mitigate structural oscillations is passive control using viscoelastic materials. The properties of these materials are
strongly dependent on environmental factors, mainly on the temperature and frequency of excitation, so that the
models for the characterization of their dynamic behavior must be able to represent this dependence. In this sense,
this work presents the modeling of a sandwich beam treated with viscoelastic material and subjected to dynamic
loading. For this, a viscoelastic fractional model is presented, the kinematic relations between the layers were
obtained, and, applying the variational principles of mechanics the equation of motion of the system was found
and evaluated using finite element method. Through this procedure it was possible to represent the transient
behavior of the sandwich beam and compare it with the response of the structure with no viscoelastic treatment.