N Kamalian - Department of Mechanical Engineering, Parand Branch, Islamic Azad University ,Parand, Iran
N Mohammadi - Department of Mechanical Engineering, Parand Branch, Islamic Azad University ,Parand, Iran
R Rastegari - Department of Mechanical Engineering, Parand Branch, Islamic Azad University ,Parand, Iran

In this study, the Parameters of relaxation spectrum and then analytical determination of the storage and loss modulus of MR smart fluid are calculated by solving the equations of the first kind of Fredholm integral. For this purpose, by using the existing experimental values of the first kind of Fredholm integration equations, the objective function is defined, afterwards the Parameters of the relaxation spectrum are calculated by using the optimization algorithm ICA method and minimization of the function value. In next step, the storage and loss modulus are determined by the equations which indicate the relations between the relaxation parameters and the storage and loss modulus, also themodulus in the frequency range of 0-100 rad/s are calculated. The calculated results are compared with the experimental data and the validation of them are investigated

MR fluid, Storage modulus, Loss modulus, Relaxation spectrum, Fredholm integral