Analysis of Fractional Derivative Model for MR Damping System
A generalized element which has the behaviors both of dashpot and spring is utilized to describe the visco-elasticity of a type of MR (Magneto-Rheological) Damper. A fractional derivative equation of motion which needs 4 parameters is developed to consider the nonlinear characteristics of the MR Damping system. It is demonstrated that the controlling current affects the order of the fractional system significantly, the increasing of the currents lead to the increasing of systemic order, strengthen the influence of viscosity remarkably and weaken the influence of inertia simultaneously. Nonlinear characteristics for shearing thin MRF damping system are also studied.
X. M. Liu et al., "Analysis of Fractional Derivative Model for MR Damping System", Applied Mechanics and Materials, Vols. 29-32, pp. 2102-2107, 2010