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The Science of Hysteresis: Mathematical modeling and applications

Author : I. D. Mayergoyz

Publisher : Academic Press

Page : 764 pages

File Size : 36,16 MB

Release : 2006

Category : Science

ISBN : 0123694310

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Book Description

Volume 1 covers: * Mathematical models * Differential equations * Stochastic aspects of hysteresis * Binary detection using hysteresis * Models of unemployment in economics Volume 2 covers: * Physical models of magnetic hysteresis * All aspects of magnetisation dynamics Volume 3 covers: * Hysteresis phenomena in materials * Over 2100 pages, rich with supporting illustrations, figures and equations * Contains contributions from an international list of authors, from a wide-range of disciplines * Covers all aspects of hysteresis - from differential equations, and binary detection, to models of unemployment and magnetisation dynamics.



Hysteresis in Magnetism

Author : Giorgio Bertotti

Publisher : Academic Press

Page : 576 pages

File Size : 33,8 MB

Release : 1998-05-21

Category : Technology & Engineering

ISBN : 0080534376

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Book Description

This book provides a comprehensive treatment of the physics of hysteresis in magnetism and of the mathematical tools used to describe it. Hysteresis in Magnetism discusses from a unified viewpoint the relationsof hysteresis to Maxwells equations, equilibrium and non-equilibrium thermodynamics, non-linear system dynamics, micromagnetics, and domain theory. These aspects are then applied to the interpretation of magnetization reversal mechanisms: coherent rotation and switching in magnetic particles, stochastic domain wall motion and the Barkhausen effect, coercivity mechanisms and magnetic viscosity, rate-dependent hysteresis and eddy-current losses. The book emphasizes the connection between basic physical ideas and phenomenological models of interest to applications, and, in particular, to the conceptual path going from Maxwells equations and thermodynamics to micromagnetics and to Preisach hysteresis modeling. - The reader will get insight into the importance and role of hysteresis in magnetism; In particular, he will learn: - which are the fingerprints of hysteresis in magnetism - which are the situations in which hysteresis may appear - how to describe mathematically these situations - how to apply these descriptions to magnetic materials - how to interpret and predict magnetic hysteresis phenomena observed experimentally



Differential Models of Hysteresis

Author : Augusto Visintin

Publisher : Springer Science & Business Media

Page : 420 pages

File Size : 42,54 MB

Release : 2013-06-29

Category : Mathematics

ISBN : 3662115573

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Book Description

Hysteresis effects occur in science and engineering: plasticity, ferromagnetism, ferroelectricity are well-known examples. This volume provides a self-contained and comprehensive introduction to the analysis of hysteresis models, and illustrates several new results in this field.



Mathematical Models of Hysteresis and their Applications

Author : Isaak D. Mayergoyz

Publisher : Academic Press

Page : 499 pages

File Size : 10,93 MB

Release : 2003-10-01

Category : Mathematics

ISBN : 0080535895

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Book Description

This new edition has been significantly revised and updated to reflect advances in the field since the publication of the first edition, such as the systematic experimental testing of Preisach models of hysteresis. The author has, however, retained the two most salient features of the original, the emphasis on the universal nature of mathematical models of hysteresis and their applicability to the description of hysteresis phenomena in various areas of science, technology and economics and its accessibility to a broad audience of researchers, engineers, and students.·Provides a unique emphasis on the development of universal mathematical models of hysteresis·Accessibility to a broad audience, using simple and complex mathematical tools, application to various areas of science.·Presents new theoretical and experimental results



The Science of Hysteresis: Physical modeling, micromagnetics, and magnetization dynamics

Author : I. D. Mayergoyz

Publisher : Gulf Professional Publishing

Page : 664 pages

File Size : 17,20 MB

Release : 2006

Category : Science

ISBN : 9780123694324

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Book Description

Volume 1 covers: * Mathematical models * Differential equations * Stochastic aspects of hysteresis * Binary detection using hysteresis * Models of unemployment in economics Volume 2 covers: * Physical models of magnetic hysteresis * All aspects of magnetisation dynamics Volume 3 covers: * Hysteresis phenomena in materials * Over 2100 pages, rich with supporting illustrations, figures and equations * Contains contributions from an international list of authors, from a wide-range of disciplines * Covers all aspects of hysteresis - from differential equations, and binary detection, to models of unemployment and magnetisation dynamics.



The Science of Hysteresis

Author : Giorgio Bertotti

Publisher : Elsevier

Page : 2144 pages

File Size : 37,2 MB

Release : 2005-12-20

Category : Science

ISBN : 0080540783

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Book Description

Volume 1 covers: * Mathematical models * Differential equations * Stochastic aspects of hysteresis * Binary detection using hysteresis * Models of unemployment in economics Volume 2 covers: * Physical models of magnetic hysteresis * All aspects of magnetisation dynamics Volume 3 covers: * Hysteresis phenomena in materials* Over 2100 pages, rich with supporting illustrations, figures and equations * Contains contributions from an international list of authors, from a wide-range of disciplines * Covers all aspects of hysteresis - from differential equations, and binary detection, to models of unemployment and magnetisation dynamics



Systems with Hysteresis

Author : Fayçal Ikhouane

Publisher : John Wiley & Sons

Page : 222 pages

File Size : 34,60 MB

Release : 2007-09-27

Category : Technology & Engineering

ISBN : 9780470513194

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Book Description

Hysterisis is a system property that is fundamental to a range of engineering applications as the components of systems with hysterisis are able to react differently to different forces applied to them. Control theory is used to model these complex systems and cause them to behave in the desired manner; the Bouc-Wen model is a well-known semi-physical model that is used extensively to describe the hysterisis of systems in the areas of smart structures and civil engineering. The Bouc-Wen model for system hysterisis has increased in popularity due to its capability of capturing in an analytical form a range of shapes of hysteretic cycles that match the behaviour of a wide class of hysteretic systems. “Systems with Hysterisis: Analysis, Identification and Control using the Bouc-Wen Model” deals with the analysis, identification and control of these systems, and offers a comprehensive and self-contained framework for the study of the Bouc-Wen model. Includes the latest techniques for modelling smart structures and materials Provides a rigorous mathematical treatment of the subject along with practical comments, numerical solutions and a case study of magentorheological (MR) dampers. Begins by analysing the compatibility of the Bouc-Wen model with the laws of physics, and continues to cover the relationship between the model parameters and hysterisis loop, identification of the model parameters and control of systems that include a hysteretic part described by the Bouc-Wen model. Includes case studies covering the identification and control of smart material transducers for use in automotive, aerospace and structural control Systems with Hysterisis: Analysis, Identification and Control using the Bouc-Wen Model offers an invaluable source of ideas, concepts and insights for engineers, researchers, lecturers and senior/ postgraduate students involved in the research, design and development of smart structures and related areas within civil and mechanical engineering. It will also be of interest to readers involved in the wider disciplines of electrical & control engineering, applied mathematics, applied physics and material science.



Magnetic Hysteresis

Author : Edward Della Torre

Publisher : Wiley-IEEE Press

Page : 248 pages

File Size : 18,49 MB

Release : 1999

Category : Science

ISBN :

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Book Description

Understanding magnetic hysteresis is vitally important to the development of the science of magnetism as a whole and to the advancement of practical magnetic device applications. Magnetic Hysteresis, by acclaimed expert Edward Della Torre, presents a clear explanation of the connection between physical principles and phenomenological hysteresis. This comprehensive book offers a lucid analysis that enables the reader to save valuable time by reducing trial-and-error design. Dr. Della Torre uses physical principles to modify Preisach modeling and to describe the complex behavior of magnetic media. While Pretsach modeling is a useful mathematical tool, its congruency and deletion properties present limitations to accurate descriptions of magnetic materials. Step-by-step, this book describes the modifications that can overcome these limitations. Special attention is given to the use of feedback around a Preisach transducer to remove the congruency restriction, and to the use of accommodation and aftereffect models to remove the deletion restriction. Magnetic state selection rules are introduced to couple scalar Preisach models to form a vector model. Magnetic Hysteresis is indispensable reading for engineers, physicists, and materials scientists who want to gain a better understanding of hysteresis losses and create more energy-efficient motor designs.



Hysteresis

Author : José Carlos Dias

Publisher : Nova Science Publishers

Page : 0 pages

File Size : 10,94 MB

Release : 2014

Category : Hysteresis

ISBN : 9781633213364

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Book Description

The study of complex hysteresis problems has become increasingly important in recent years, since the hysteresis phenomenon affects significantly the decisions that have to be rendered in a wide range of real-world practical applications. For example, the so-called hysteresis effects may influence substantially some fields not directly related to the natural sciences such as finance, economy, or fiscal policy. In addition, such phenomenon is also typically present in many engineering and physics applications of interest such as in magnetism, spin-valve technology, semiconductors, surface physics, aeronautical and civil engineering aerodynamics, complex battery systems, biology, etc. This book focuses on the most recent attempts for modeling a diverse variety of complex hysteresis problems faced in economics, engineering, and physics. The chapters of this book provide a self-contained, rigorous, and clear treatment of the different types and sources of hysteresis under a large spectrum of applications. The book also highlights how stochastic control and other mathematical tools as well as econometric techniques can be applied for analyzing the complex properties of hysteresis problems. This authoritative book is a definitive guide on how to understand the newest designs for modeling hysteresis in highly complex systems and thus it will be an essential reading for graduate students and researchers in economics, engineering, and physics.



Hysteresis and Phase Transitions

Author : Martin Brokate

Publisher : Springer Science & Business Media

Page : 368 pages

File Size : 18,23 MB

Release : 2012-12-06

Category : Mathematics

ISBN : 1461240484

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Book Description

Hysteresis is an exciting and mathematically challenging phenomenon that oc curs in rather different situations: jt, can be a byproduct offundamental physical mechanisms (such as phase transitions) or the consequence of a degradation or imperfection (like the play in a mechanical system), or it is built deliberately into a system in order to monitor its behaviour, as in the case of the heat control via thermostats. The delicate interplay between memory effects and the occurrence of hys teresis loops has the effect that hysteresis is a genuinely nonlinear phenomenon which is usually non-smooth and thus not easy to treat mathematically. Hence it was only in the early seventies that the group of Russian scientists around M. A. Krasnoselskii initiated a systematic mathematical investigation of the phenomenon of hysteresis which culminated in the fundamental monograph Krasnoselskii-Pokrovskii (1983). In the meantime, many mathematicians have contributed to the mathematical theory, and the important monographs of 1. Mayergoyz (1991) and A. Visintin (1994a) have appeared. We came into contact with the notion of hysteresis around the year 1980.