Analytical modelling and experimental identification of viscoelastic mechanical systems

Catania, Giuseppe; Sorrentino, Silvio

doi:10.1007/978-1-4020-6042-7_28

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 modelling and experimental identification of viscoelastic mechanical systems / Catania, Giuseppe; Sorrentino, Silvio. - (2007), pp. 403-416.

Data di pubblicazione:	2007
Titolo:	Analytical modelling and experimental identification of viscoelastic mechanical systems
Autore/i:	Catania, Giuseppe; Sorrentino, Silvio
Autore/i UNIMORE:	Catania, Giuseppe SORRENTINO, Silvio mostra contributor esterni nascondi contributor esterni
Digital Object Identifier (DOI):	http://dx.doi.org/10.1007/978-1-4020-6042-7_28
Codice identificativo Scopus:	2-s2.0-69949115024
Codice identificativo ISI:	WOS:000250957200028
Titolo del libro:	Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering
A cura di:	Sabatier, J.; Agrawal, O.P.; Tenreiro Machado, J.A.
ISBN:	9781402060410
Editore:	Springer
Nazione editore:	STATI UNITI D'AMERICA
Citazione:	Analytical modelling and experimental identification of viscoelastic mechanical systems / Catania, Giuseppe; Sorrentino, Silvio. - (2007), pp. 403-416.
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