<p>The purpose of this book is to describe in sufficient detail the mathematical models of hysteresis nonlinearities with "nonlocal memories. " The distinct feature of these nonlinearities is that their future states depend on past histories of input variations. It turns out that memories of hystere
Mathematics of Hysteretic Phenomena: The T(x) Model for the Description of Hysteresis
β Scribed by J. TakΓ‘cs
- Publisher
- Wiley-VCH
- Year
- 2003
- Tongue
- English
- Leaves
- 175
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
Starting with the mathematical modeling of classical problems of hysteretic phenomena, the author provides an insight into the physics of the inverse hysteresis, higher order reversal loops, accommodation, viscosity, creep, wasp-waisted loops and hysteretic coupled systems. Adopting a novel approach, he presents the T(x) model and applies it successfully to describe most, if not all, important phenomena in magnetism. Thus, not only scientists in physics and applied mathematics will benefit from this analytical tool, but also engineers working in magnetic circuit design will gain a mathematical tool for their work. Moreover, designers of magnets and magnetic components will equally profit from the book, as will researchers from other branches of physics, technology and natural sciences.
β¦ Table of Contents
Contents......Page 12
1. Introduction......Page 15
2. Saturation Effect......Page 19
3. Hysteretic Phenomena......Page 27
4. Nonhysteretic Processes......Page 39
5. Reversal Loops......Page 46
6. Remanent Magnetism......Page 61
7. Permeability and Shearing......Page 73
8. Magnetic Energy......Page 85
9. Time Functions and Magnetization......Page 93
10. Magnetic Transient or Accommodation......Page 115
11. Magnetic Recording......Page 125
12. Other Hysteretic Phenomena......Page 143
13. Unidirectional Hysteretic Effects......Page 155
Epilogue......Page 162
Bibliography......Page 163
Author Index......Page 169
Subject Index......Page 173
β¦ Subjects
Π€ΠΈΠ·ΠΈΠΊΠ°;ΠΠ°ΡΠΌΠ΅ΡΠΎΠ΄Ρ ΠΈ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ Π² ΡΠΈΠ·ΠΈΠΊΠ΅;
π SIMILAR VOLUMES
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
The authors present a completely new and highly application-oriented field of nonlinear analysis. The work covers the theory of non-smooth input-output systems and presents various methods to non-standard applications in mathematics and physics. A particular focus lies on hysteresis and relay phenom