Constitutive model for magneto-sensitive rubber in the audible frequency range including amplitude, frequency and magnetic field dependence

In presenting anon-linear constitutive model for magneto-sensitive rubber in the frequency range, the influences of dynamic amplitude, frequency and magnetic field are investigated. The model is based on a non-linear, smooth Coulomb friction and fractional derivative model with parametric magnetic field dependence. Very good agreement between model and measurement results are obtained throughout the whole magnetic field, amplitude and frequency range considered.