This study presents a new behavioral model for the magnetorheological (MR) fluid used in cylindrical rectilinear dampers. The model predicts variations in the magnetic energy density, shear stress, and viscoelastic behavior against an imposed strain along the axial direction under an axisymmetric magnetic field. Using the Lekner summation method, slow convergent magnetic interaction energy functions are transformed into rapidly convergent ones. The Maxwell constitutive model is coupled to the static model to take into account the viscoelastic behavior of the MR fluid.
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