Dynamic Coupled Model of Vibration System With Galfenol Damper Considering Eddy Currents and Hysteresis

Based on the effective magnetic-field expression, the constitutive equations with eddy currents, the hysteresis model, and the electromechanical coupled model, a dynamic mechanical-magnetic-electro bidirectional coupled (MMEBC) model of the vibration system with the Galfenol damper is established, and the system's transmissibility and key frequency-dependent complex stiffness are derived. Comparisons between the calculated and measured results show that the proposed model can accurately describe the dynamic minor-loop curves of the Galfenol rod around the bias point, can provide reasonable data trends of the frequency-dependent complex Young's modulus, piezomagnetic coefficients, and relative permeability, and can predict the changing laws of the resonant frequency and the resonant peak with bias point and shunt resistance. It is found that the damper under the shunt resistance circuit can provide the peak attenuation rate of 87.91%, which is higher than 79.58% of the damper under open circuit.