Some Remarks on Hysteresis

Abstract

This paper considers two approaches by which the Preisach distribution function may be obtained from experimental hysteresis curves, and then compares the results of these approaches with Bate's experimental results. The first method, based upon the assumption that φ(a,b) = φ1(a)·φ2(b), was proposed by the authors in 1958. The second method is valid under other assumptions, and requires simple computations only. The comparison shows good agreement between the two methods, and with experimental data.

A least squares method for finding the preisach hysteresis operator from measurements

“…We shall assume that in this model the density distribution 4~ is smooth (in a sense to be made precise in Sect. 4) and that it vanishes outside an a priori known region in P. These assumptions are consistent with those of [3] for ferromagnetism. We also note that for a uniform density q~(p)= 1 on a rectangle R cP and a continuous piecewise linear input s the hysteresis loop shown in Fig.…”

“…Similar ideas were exploited by Woodward and Della Torre for modelling magnetic tape [11]. A modification of the measurement scheme of [3] is presented in [5] (see also [9]) and shown to reproduce efficiently the analytic solution of test problems. A related approach to the identification problem is presented in [6].…”

“…Section 2 outlines the scheme of [3] for the collection of experimental data. Section 3 introduces the numerical algorithm and Sect.…”

Hysteresis Phenomena in Biology

“…Since its publication in the 1930s of the last century (Preisach 1935), the model has been further developed and improved and many valuable facts have been accumulated (Everett and Whitton 1952;Everett 1954Everett , 1955Enderby 1956;Biorci and Pescetti 1958, 1959, 1966Brown 1962;Bate 1962;Woodward and Della Torre 1960;Della Torre 1965;Damlanian and Visintin 1983;Visintin 1984;Barker et al 1985;Brokate and Visintin 1989;. Since its publication in the 1930s of the last century (Preisach 1935), the model has been further developed and improved and many valuable facts have been accumulated (Everett and Whitton 1952;Everett 1954Everett , 1955Enderby 1956;Biorci and Pescetti 1958, 1959, 1966Brown 1962;Bate 1962;Woodward and Della Torre 1960;Della Torre 1965;Damlanian and Visintin 1983;Visintin 1984;Barker et al 1985;Brokate and Visintin 1989;.…”

Preisach Maps of Multilayered Co/Cu Structures

“…It was relatively easy to simulate the hysteresis curve havmg the Preisach map, but the inverse was (and still is) rather difficult. Only in 1950's first more or less successful attempts to solve this problem were reported [2][3][4]. After 1960 more papers dealing with related subjects appeared, almost all of them proposed various improvements and extensions of original Preisach's idea.…”