This paper presents a study of the frequency domain behaviour of a single degree of freedom (SDOF) system with a fractional derivative model, named Fractional Kelvin-Voigt. Frequency response functions (FRFs) as receptance and transmissibility are analytically studied. Then the model is applied to describe the dynamic behaviour of a magnetomechanic system in the frequency domain, consisting of a body of para or dia-magnetic material vibrating in a field created by a pair of magnets.
Frequency domain analysis of a fractional derivative SDOF system / Sorrentino, Silvio; L., Garibaldi. - ELETTRONICO. - 1:(2005), pp. 299-304. (Intervento presentato al convegno ASME2005 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference tenutosi a Long Beach, CA, usa nel 24-28 Settembre 2005) [10.1115/detc2005-84651].