In this study a semi-active vibration control strategy has been proposed to suppress the vibration in discrete structures using magnetorheological dampers. The strategy is based on the absolute velocity at the end of the magnetorheological damper in local coordinates and the hysteresis force experienced by the magnetorheological damper. To obtain the hysteresis force, a new nonlinear hysteresis dynamic model is employed. The model determines the hysteresis force considering the amplitude, frequency, and current excitation as independent variables. Subsequently, based on this model, the finite element formulation of the magnetorheological damper is derived and incorporated into the finite element formulation of the space truss structure with integrated magnetorheological damper to simulate the response of the adaptive structure. The Newmark β method with inner iterative algorithm is applied to solve the resulting nonlinear system. The experimental study has also been conducted to validate the finite element model. The efficiency of the proposed vibration suppression strategy has been tested against harmonic, transient, and random excitations. It has been demonstrated that the vibration can be efficiently suppressed by the controllable magnetorheological dampers.
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Dominguez et al. (2006) studied this question.
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