Hysteretic Property of Rare Earth Giant Magnetostrictive Actuator

Based on the hysteretic theory of the giant magnetostrictive material (RE-GMM) and the nonlinear characteristic of the giant magnetostrictive actuator (GMA), the composite nonlinear mathematic model was established with Bouc-Wen hysteretic model, and the hysteresis properties and the hysteresis loop of the transducer were investigated. Then with Multi-scale method, the analytic solution of the response and the expression of the frequency-response properties, which the giant magnetostrictive actuator with hysteretic and geometric nonlinear vibration characteristic included, were achieved, and the t-x curve was obtained. Then, after the discussing about the different cases, the frequency-response curves were obtained with damp case and without damp case, and the affect of frequency-response characteristic with damp expressed by the dynamic excitation f, piezomagnetic coefficient d33 and magnetic conductivity μ33T to the curve of the frequency-response is discussed. Results indicated that the effect off, d33 and μ33T to the amplitude and nonlinear of the system was obvious. At the same time, the frequency-response curve had the phenomenon of double hopping.