The Science of Hysteresis: Mathematical modeling and applications

The Science of Hysteresis: Mathematical modeling and applications PDF Author: I. D. Mayergoyz
Publisher: Academic Press
ISBN: 0123694310
Category : Science
Languages : en
Pages : 764

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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

Hysteresis in Magnetism PDF Author: Giorgio Bertotti
Publisher: Academic Press
ISBN: 0080534376
Category : Technology & Engineering
Languages : en
Pages : 558

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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

Hysteresis in Magnetism

Hysteresis in Magnetism PDF Author: Giorgio Bertotti
Publisher: Gulf Professional Publishing
ISBN: 9780120932702
Category : Mathematics
Languages : en
Pages : 584

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Book Description
Introduction: Magnetic Hysteresis. Types of Hysteresis. Maxwells Equations and Thermodynamics: Maxwells Equations in Magnetic Media. Magnetic Work and Thermodynamics. Magnetic Free Energy: Exchange and Anisotropy. Micromagnetics. Magnetic Domains and Domain Walls. The Magnetization Process: Coherent Rotation. Domain Wall Motion. Magnetization Curves. Coercivity Mechanisms. Eddy Currents. Preisach Systems: Collections of Bistable Units. Hysteresis in Preisach Systems. Appendixes: Systems of Units. Vector Relations. Reciprocity Theorems. Micromagnetic Parameters. Stochastic Processes. Bibliography. Index.

Hysteresis and Phase Transitions

Hysteresis and Phase Transitions PDF Author: Martin Brokate
Publisher: Springer Science & Business Media
ISBN: 1461240484
Category : Mathematics
Languages : en
Pages : 368

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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.

The Science of Hysteresis

The Science of Hysteresis PDF Author: Giorgio Bertotti
Publisher: Elsevier
ISBN: 9780080540788
Category : Technology & Engineering
Languages : en
Pages : 2160

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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

Systems with Hysteresis PDF Author: Fayçal Ikhouane
Publisher: John Wiley & Sons
ISBN: 9780470513194
Category : Technology & Engineering
Languages : en
Pages : 222

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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.

Numerical Simulation of Hysteresis Effects in Ferromagnetic Material with the Finite Integration Technique

Numerical Simulation of Hysteresis Effects in Ferromagnetic Material with the Finite Integration Technique PDF Author: Jing Yuan
Publisher: Cuvillier Verlag
ISBN: 3865375030
Category :
Languages : en
Pages : 167

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Book Description


The Hysteresis Machines

The Hysteresis Machines PDF Author: S.C. Bhargava
Publisher: CRC Press
ISBN: 1000815765
Category : Technology & Engineering
Languages : en
Pages : 299

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Book Description
This book describes in detail the construction and working principle of a variety of commercially available hysteresis machines. The last part of the book is devoted to a comprehensive study of an experimental hysteresis machine. The contents of this part derive entirely from the experimental and analytical work carried out by the author during his doctoral research at the University of Aston in the UK. The exhaustive range of tests and measurements, obtained by the use of uniquely devised transducers and techniques—many of these having been evolved for the first time—showcase numerous aspects of a hysteresis machine. These relate mainly to the measured waveforms of radial and peripheral flux density in the airgap and active part of the rotor as influenced by the hysteretic properties of the rotor material. Print edition not for sale in South Asia (India, Sri Lanka, Nepal, Bangladesh, Pakistan or Bhutan).

Differential Models of Hysteresis

Differential Models of Hysteresis PDF Author: Augusto Visintin
Publisher: Springer Science & Business Media
ISBN: 3662115573
Category : Mathematics
Languages : en
Pages : 420

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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.

The Science of Hysteresis

The Science of Hysteresis PDF Author: Gerard Meurant
Publisher: Academic Press
ISBN: 0080962386
Category : Business & Economics
Languages : en
Pages : 768

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Book Description
The Science of Hysteresis