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 Springer.
CITATION STYLE
Catania, G., & Sorrentino, S. (2007). Analytical modelling and experimental identification of viscoelastic mechanical systems. In Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering (pp. 403–416). Springer Netherlands. https://doi.org/10.1007/978-1-4020-6042-7_28
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