Modeling of MR damper with hysteresis for adaptive vibration control

This paper is concerned with structural vibration control using a semi-active magnetorheological (MR) damper. A simple mathematical model of MR damper is proposed to express its hysteresis effect of dynamic friction characteristics. The model can predict the damping force based on the inputs of velocity, internal state and input voltage to the MR damper. The model can also he used to obtain an inverse dynamic model to analytically determine the necessary input voltage so that the desirable damper force could be added to the structure in an adaptive manner. In conjunction with the LQG control which gives the desired target damping force, the total adaptive algorithm can work effectively even if the MR damper has uncertainty and changeability, which is validated in numerical simulations.