Viscoelastic bearings with fractional constitutive law for fractional tuned mass dampers
journal contributionposted on 2015-03-09, 16:03 authored by Giorgio Barone, M. Di Paola, Francesco Lo Iacono, Giacomo Navarra
The paper aims at studying the effects of the inherent fractional constitutive law of viscoelastic bearings used as devices for tuned mass dampers. First, the proper constitutive law of the viscoelastic supports is determined by the local constitutive law. Then, the characteristic force-displacement relationship at the top of the bearing is found. Taking advantage of the whole bearing constitutive laws, the tuning of the mass damper is proposed by defining the damped fractional frequency, which is analogous to the classical damped frequency. The effectiveness of the optimal tuning procedure is validated by a numerical application on a system subjected to a Gaussian white noise.
The authors fully acknowledge the financial support of the Italian Ministry (PRIN2011,Principal Investigator Prof. Angelo Luongo).
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