Open AccessBook
Models of Hysteresis
TLDR
In this paper, the concept of hysteresis operator was introduced and the existence of a solution for a parabolic differential equation containing a hystereis operator is proven.Abstract:
The concept ofhysteresis operator is introduced. Existence of a solution is proven for a parabolic differential equation containing a hysteresis operator.read more
Citations
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Journal ArticleDOI
Friction Models and Friction Compensation
TL;DR: This paper reviews friction phenomena and friction models of interest for automatic control, with particular emphasis given to two recently developed dynamic friction models: the Bliman-Sorine model and the LuGre model.
Journal ArticleDOI
On rate-independent hysteresis models
Alexander Mielke,Florian Theil +1 more
TL;DR: In this article, a general approach to the modeling of rate-independent processes which may display hysteretic behavior is presented. But this approach is only based on energy principles.
Journal ArticleDOI
Dynamics of domain magnetization and the Barkhausen effect
TL;DR: In this paper, the authors provide a review of the underlying theory of the Barkhausen effect in magnetic materials and examine how it can be described in the presence of hysteresis using a hysteretic-stochastic process model.
Book ChapterDOI
Nonsmooth Mechanics I
Vladimir F. Demyanov,Georgios E. Stavroulakis,Ludmila N. Polyakova,Panagiotis D. Panagiotopoulos +3 more
TL;DR: In this article, the authors explain the origins of nonsmooth mechanics and of inequality problems using the notions of convex and of nonconvex superpotentials, and they consider boundary conditions and material laws resulting from convex or non-Convex energy functions using the concept of sub differential or of generalized gradient.
Journal ArticleDOI
Barkhausen noise: Elementary signals, power laws, and scaling relations
Dj. Spasojević,Dj. Spasojević,S. Bukvic,S. Bukvic,S. Milošević,S. Milošević,H. E. Stanley,H. E. Stanley +7 more
TL;DR: Estimation of the relevant power law exponents of the Barkhausen noise ~BN! in the case of the commercial VITROVAC 6025 X metal glass sample is made and an elaborate formula for the power spectrum is predicted.
References
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Book
Mathematical models of hysteresis
TL;DR: A new approach to the scalar Preisach model of hysteresis, which emphasizes its phenomenological nature and mathematical generality, is described in this paper, which gives the necessary and sufficient conditions for the representation of actual hystresis nonlinearities by the scalareach model.
Journal ArticleDOI
Über die magnetische Nachwirkung
TL;DR: In this paper, the authors present a Hypothese einer formalen analogie zwischen der Jordanschen Verlustkomponente and dem dielektrischen Nachwirkungsverlust.
Book
Systems with Hysteresis
TL;DR: In this article, the identification theorem of static and variable Hysterons is proved and Vibro-Correct Differential Equations and Variable Hystersons are discussed. But they do not consider multidimensional hysterons.