A Model for a Thin Magnetostrictive Actuator in Nonlinear Dynamics

摘要

In this study, we propose a model for the dynamics of magnetostrictive hysteresis in a thin rod actuator when mechanically the material works in his nonlinear domain. We derive two equations that represent magnetic and mechanical dynamics equilibrium. Our model results from an application of the energy balance principle. The numerical simulations of the model with sinusoidal periodic external fieldgenerate the hysteresis curve and show the equivalent mechanic model. By using the method of multiple scales we analyze the effects of the nonlinear parameter in the system response of magnetostrictive materials. With Routh-Hurwitz theorem, the stability and bifurcation analysis are carried out. Analytical and numerical methods are used to investigate the dynamics of the materials.