Giant magnetostrictive actuator nonlinear dynamic Jiles-Atherton model

•Developing the mathematical model of GMA.•Adding structural parameters to GMA dynamic model in high frequency.•Presenting an efficient method of parameter identification.

The hysteresis nonlinearity exists in the giant magnetostrictive actuator (GMA) between input current and output displacement. In order to research the nonlinear dynamic behavior characteristics and control strategies to improve controllability and stability, mathematics model must be accurately established especially in high frequency. Therefore, this paper proposes an electrical-magnetic-thermal-mechanical coupling Jiles-Atherton (J-A) dynamic model that takes exciting current as input and displacement as output through combining Ampere's circulation theorem and GMA structural dynamics equation. Differential evolution genetic algorithm is applied to identify the unknown parameters on the premise of preliminarily determining their own scope according to hysteresis loop characteristics. The better fitting results between simulation and experiment in different conditions prove the correctness and effectiveness of this proposed model.