Magnetorheological elastomers have been paid increasing attention in the fields of vibration mitigation. One of the challenging aspects of utilizing magnetorheological elastomer–based device is to develop dynamic models that could accurately describe their unique characteristics. In this work, a comprehensive physical model including viscoelasticity, hysteresis, and frictional effects is proposed by exploring the unique dissipated energy mechanisms of magnetorheological elastomer isolator. And, a particle swarm optimization–genetic algorithm hybrid algorithm is utilized for model parameter identification. The parameter sensitivity analysis is also conducted. The effectiveness of the proposed model is validated by comparing the predicted force and experimental force. Furthermore, a semi-active fuzzy controller is designed to evaluate the performance of magnetorheological elastomer isolator for vibration mitigation. Numerical results show that the displacement and acceleration of a magnetorheological elastomer isolated system could be reduced, which indicates potential for structural vibration attenuation.
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