A stress-dependent magnetic Preisach hysteresis model

Abstract

Abstroct-Magnetostrictivematerials a r e known to have hysteresis with respect to both magnetic field H and mechanical stress 6. Also, the order in which H and (T are applied is sometimes significant. This paper proposes one generalization of the classical Preisach model in which these properties are handled by treating a combination of H and 6 as an effective field H e (H ,o). The classical Preisach model can thus be generalized to M ( t ) = II p(a,p) rap H, (~( t ) , o ( t ) , a ,~) d a d~ -H , S f k a l H , I H e also depends on a and p. In this paper, the function H e (H ,o,a,p) will be assumed to have a certain simple form. I t Is shown that all necessary parameters can then be determined from a comparatively small number of experiments and that the above expression can be reduced to a single integral. T o test the validity of the model , experiments where the two components H and d have been varied in many different ways have been performed on Terfenol-D and compared to results computed from the model. Some of these results are presented in the paper.This stress-dependent model is found to have an accuracy comparable to that of the classical Preisach model.

Identification and experimental assessment of two-input Preisach model for coupling hysteresis in piezoelectric stack actuators

“…Even so, the TPM still provides much better accuracy than the CPM under conditions of a high-speed excitation voltage and a dynamic load. Several coupling hysteresis models, based on the Preisach model [21][22][23][24] and PI model [26], have the same limitations as the TPM. So the alternative to the TPM would be a dynamic model [25], assuming that it is feasible to describe the piezoelectric coupling hysteresis.…”

“…Various mathematical models to describe coupling hysteresis behavior in magnetostrictive actuators for varying mechanical loads have been devised [6,[21][22][23][24][25][26], and general forms of coupling hysteresis models based on the CPM are given in [6,21]. Suzuki [22] developed a stress-dependent model based on the moving Preisach model [6], while Davino [23] presented a stress-dependent magnetostriction phenomenological model by employing the CPM and a memory less bivariate function.…”

Investigation of Terfenol-D for Magnetostrictive Tagging of Fiber-Reinforced Polymer Composites

“…Constitutive modeling literature will be discussed first, then experimental literature. Bergqvist and Engdahl (1991) extended the classical Preisach model to include the stress dependence of the magnetic field. This paper essentially tries to model the field and stress hysteresis curves for magnetostrictive materials.…”

Modeling, Compensation and Control of Smart Devices with Hysteresis

“…To this aim, we refer to the class of operators based on the Preisach deletion rule, stated in eqn. (5). We refer to this operators, to as P 0 -operators.…”

“…represents a hysteresis operator with two inputs which generalizes the definition in [5] to a wider class of hysteresis operators. Before proceeding in the description of multi-variate systems with hysteresis in control applications, it is mandatory to provide some information concerning its identification.…”