Simulation on hysteresis characteristic of squeeze mode magneto-rheological damper based on non-convex constitutive relation

Magneto-Rheological (MR) fluid is a controllable material upon the applied magnetic field, and various MR dampers with different structures are designed to take advantage of this unique property. In the current paper, the squeeze mode MR damper is analyzed. The two-dimensional MR fluid squeeze flow in the damper is simulated using the Navier-Stokes’ equations. The shear stress of MR fluid is characterized by a non-convex constitutive relation, which is capable of capturing the solid-like to liquid-like switching. The two-dimensional velocity field and pressure distribution of MR fluid are obtained, from which the damping force of the MR damper is obtained. The unique hysteresis characteristic of the force versus velocity relation of the MR damper is captured. Further, the dependence on the loading rate and the field strength of the hysteresis characteristic is studied in the current paper.