Modeling of magnetomechanical effect behaviors in a giant magnetostrictive device under compressive stress

The relationship between the input stress and the output flux density of giant magnetostrictive devices exhibits hysteretic nonlinearity and magnetoelastic coupling inherent to giant magnetostrictive material (GMM). To design and use these devices, it is necessary to establish an accurate model. In this paper, a magnetomechanical hysteresis model of a giant magnetostrictive device for magnetic force control is established based on the Jiles–Atherton model and the theory of magnetomechanical effects and the magnetic force model. A hybrid genetic algorithm is used to estimate the optimal parameters of the proposed model. Comparisons between the calculated and experimental results show that the proposed model can better describe magnetomechanical hysteresis behaviors of the magnetization, flux density and magnetic force of the device under a varying compressive stress and a constant bias magnetic field. The model can also predict the magnetoelastic coupling nonlinearity of the device, i.e. the effect of the bias magnetic field on the output performance of the device. Therefore, the proposed model has important significance for design and analysis of magnetostrictive devices.