Fractional derivative viscoelastic model for frequency-dependent complex moduli of automotive elastomers

Finite element modeling has been used extensively nowadays for predicting structural vibration and noise radiation of automobile engines and subsystems. However, many elastomeric components on the engines or subsystems are often omitted in the FE models due to primarily the lack of material properties at higher frequencies. The present paper describes a form of fractional derivative viscoelastic model for characterizing frequency-dependent complex moduli of elastomers. The model is used to predict the high frequency complex moduli of some fluoroelastomers with varying durometers. Excellent correlations between testing and prediction are obtained.