Study on Rate-Dependent Hysteresis of Terfenol-D Using a New Empirical Model

One of the major limitations of using Terfenol-D in magnetostrictive actuators and sensors is its magnetic hysteresis. This study presents a new empirical model to predict the magnetic hysteresis of Terfenol-D at different frequencies by using Hyperbolic Tangent model. Initially, an experimental setup was fabricated and used to obtain different magnetic hysteresis curves of Terfenol-D; such as major, minor and reversal loops. Then, it was shown that the Hyperbolic Tangent model is precisely capable of modeling the magnetic hysteresis of the Terfenol-D for both rateindependent and rate-dependent cases. Empirical equations were proposed with respect to magnetic field frequency which can calculate the non-dimensional coefficients needed by the model. These empirical equations were validated at new frequencies of ۱۰۰ Hz and ۳۰۰ Hz. The model can predict the rate-dependent hysteresis as well as rateindependent hysteresis and reduces the required experiments and errors due to numerical differentiations generally needed by traditional models.

Keywords:

Terfenol-D , magnetic hysteresis , Hyperbolic Tangent model