Analytical determination of the storage and loss modulus of MR smart fluid by using the solution of the first kind of Fredholm integral equations and optimization way Genetic Algorithm

Nasrin Kamalian¹ Nader Mohamady² Rambod Rastegary³

1) Department of Computer, Parand Branch, Islamic Azad University ,Parand, Iran
2) Department of Computer, Parand Branch, Islamic Azad University ,Parand, Iran
3) Department of Computer, Parand Branch, Islamic Azad University ,Parand, Iran

IOI Code : XYCC-ACCCC
Publication : International Conference on Science and Engineering(icesconf.com)
Abstract :
    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 way Genetic Algorithm 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 the modulus 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.

Keywords : smart fluid magneto rheologicalstorage modulus loss modulus relaxation spectrum