IDENTIFICATION OF A FRACTIONAL SLS MATERIAL MODEL BY MEANS OF DYNAMIC AND QUASI-STATIC MEASUREMENTS

A non-parametric algebraic procedure for the identification of a generalized Standard Linear Solid (SLS) fractional material model, starting from E(w) complex modulus experimentally estimated values in wide frequency range, is proposed. The complex modulus is experimentally estimated from within forced excitation dynamical measurements in the high [f1, f2] frequency range and from relaxation creep measurements in the [0, f1] frequency range. The proposed model identification procedure is able to find the SLS model order and the parameters associated to each SLS element, including the local fractional differentiation order. The proposed identification approach is validated by means of some numerically simulated test cases from a known material model test case. The identification of the optimal equivalent material model of some experimentally tested polymeric materials, to be used in vibration damping coating applications, is also presented.