Quasi-steady modelling for magneto-rheological fluid mount based on squeeze mode and experimental testing

Abstract

A Magneto-rheological (MR) fluid mount based on parallel disk squeeze mode, is put forward to implement the controllable dissipation of vibration energy. An analytical quasi-steady modelling is proposed to simulate the MR fluid squeeze radial flow. Its differential equation is set and solved with the Navier slip boundary condition and the compatible condition. Both the MR fluid radial flow velocity profile and the radial pressure distribution are derived by using bi-viscous constitutive model. The interface between the Newtonian flow region and bi-viscous flow region is theoretically determined. An approximate arithmetic of the squeeze force is developed and its mathematical expression is obtained. Some influences of the slip coefficient and the radial coordinate on the radial flow velocity profile are examined. To verify the modelling, a corresponding MR fluid mount is designed and fabricated and tested on MTS870 Electro-hydraulic Servo using sine wave excitation (oscillation frequency 5 Hz, amplitude 1.0 mm, current from 0.0 to 2.0 A in increments of 0.2 A). The experimental result reveals that the analytical squeeze result is in good agreement with the experimental squeeze forces. The diagram of the analytical squeeze forces vs. disk displacement agrees mainly with that from the experimental testing.