Abstract
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.
Highlights
Magnetostriction is the phenomenon of strong coupling between magnetic properties and mechanical properties of some ferromagnetic materials: displacements are generated in response to an applied magnetic field, while mechanical stresses in the materials produce measurable changes in magnetization
The magnetic field generated by the coil current controls the strain in the Terfenol-D rod, which translates into displacement or force output of the actuator
Mechanical part of the model: The material using in this analysis is Terfenol-D rod, for his best magnetostrictive performance
Summary
Magnetostriction is the phenomenon of strong coupling between magnetic properties and mechanical properties of some ferromagnetic materials: displacements are generated in response to an applied magnetic field, while mechanical stresses in the materials produce measurable changes in magnetization. This phenomenon can be used for actuation and sensing. Modeling and control of their behavior is a challenge. We are interested in obtaining low dimensional models for magnetostriction actuators that show a constitutive coupling in their elastic and magnetic behaviors
Sign-in/Register to view highlights & summary 
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call