In the present study non-integer order or fractional derivative rheological models are applied to the dynamical analysis of mechanical systems. Their effectiveness in fitting experimental data on wide intervals of frequency by means of a minimum number of parameters is first discussed in comparison with classical integer order derivative models. A technique for evaluating an equivalent damping ratio valid for fractional derivative models is introduced, making it possible to test their ability in reproducing experimentally obtained damping estimates. A numerical procedure for the experimental identification of the parameters of the Fractional Zener rheological model is then presented and applied to a High Density Polyethylene (HDPE) beam in axial and flexural vibrations.

Analytical modeling and experimental identification of viscoelastic mechanical systems.

CATANIA, GIUSEPPE;SORRENTINO, SILVIO
2007

Abstract

In the present study non-integer order or fractional derivative rheological models are applied to the dynamical analysis of mechanical systems. Their effectiveness in fitting experimental data on wide intervals of frequency by means of a minimum number of parameters is first discussed in comparison with classical integer order derivative models. A technique for evaluating an equivalent damping ratio valid for fractional derivative models is introduced, making it possible to test their ability in reproducing experimentally obtained damping estimates. A numerical procedure for the experimental identification of the parameters of the Fractional Zener rheological model is then presented and applied to a High Density Polyethylene (HDPE) beam in axial and flexural vibrations.
2007
Advances in Fractional Calculus
403
416
G.Catania; S. Sorrentino
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/49617
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