Minor loop dynamic Jiles-Atherton model in giant magnetostrictive actuator

Hysteresis nonlinear relationship between input and output exists in giant magnetostrictive actuator (GMA). In order to lower hysteresis nonlinearity of material, minor hysteresis loops are often applied when the high frequency characteristics are studied. Therefore, it is very important to research the mathematic model of minor hysteresis loops. First, the dynamic hysteresis model is established combining Ampere circuital theorem with giant magnetostrictive material (GMM) and structural dynamic characteristic of GMA, which regards exciting current as input variable and strain as output variable. Then, the laws between model parameters and hysteresis loop characteristic are achieved by simulation and minor hysteresis loop dynamic Jiles-Atherton (J-A) model is proposed through modifying the model parameters according to the error characteristic between simulation and experiment waveform. Finally, the mathematic model is proved at different frequencies and exciting currents by experiment.