## Mathematical models of hysteresisThis book is concerned with Preisach type models of hysteresis. It is emphasized that these models are phenomenological in nature and, for this reason, they can be used for the mathematical description of hysteresis of various physical origin. Discussion in the book is by and large centered around the following topics: various generalizations and extensions of the classical Preisach model (with special emphasis on vector generalizations), finding of necessary and sufficient conditions for the representation of actual hysteresis nonlinearities by various Preisach types models, solution of identification problems for these models, numerical implementation and experimental testing of Preisach type models. Although the study of Preisach type models constitutes the main subject of the book, some effort is also made to establish some interesting connections between these models and such well known hysteresis models as: the critical state model for superconducting hysteresis, the classical Stoner-Wohlfarth model of vector magnetic hysteresis, thermal activation type model for viscosity. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

The Classical Preisach Model of Hysteresis | 1 |

Geometric Interpretation and Main Properties of the Preisach | 7 |

Experimental Determination of na ? Representation Theorem | 18 |

Copyright | |

19 other sections not shown

### Other editions - View all

### Common terms and phrases

alternating series assume astroid classical Preisach model clear computed congruency property Consider coordinates corresponding decreased defined derive discussion distribution function double integral equal vertical chords experimental data experimentally measured F(Mk first-order transition curves formula higher-order transition curves hysteresis loops hysteresis models hysteresis nonlinearities hysteresis transducer hysteretic energy losses hysteretic losses identification problem input extrema input is monotonically input u(t input variations integral equation irreversible isotropic vector limiting ascending branch magnetic field magnetostrictive major loop mathematical models of hysteresis monotonic input monotonically increased negative saturation nonlinear Preisach model notation numerical implementation output f(t output increments output value Preisach-type models quartic equation represented respectively restricted Preisach model result S-W model S-W particle scalar hysteresis scalar Preisach models second-order reversal curves shown in Fig solution spherical harmonics superconducting symmetry theorem thermodynamics triangle values of input vector hysteresis vector Preisach models weight function wiping-out property