A 2-Dimensional Axial-Symmetric Nonlinear Finite-Element Model for the Displacement of a Giant Magnetostrictive Actuator

A Giant Magnetostrictive Actuator (GMA) can meet the requirements of large displacements, heavy loads,and high precisions of active optics technology on a giant astronomical optical telescope. Due to the strong couplings between the magnetic field and mechanical stress field in the GMA, the Jiles-Atherton model, in which the hysteresis loss can be included, has been used to derive a nonlinear magnetostrictive constitutive relation. The parameters of the Jiles-Atherton model are identified using a Hierarchical Genetic Algorithm (HGA). Our study aims to achieve an analysis of the couplings between multiple fields by establishing a 2-dimensionsl axial-symmetric model in the finite-element software COMSOL Multiphysics 3.5^©and incorporating a constitutive relation. This method can be used to effectively model a GMA and help its optimal design.