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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Preisach model of hysteresis ： ウィキペディア英語版 Preisach model of hysteresis The Preisach model of hysteresis generalizes hysteresis loops as the parallel connection of independent relay ''hysterons''. It was first suggested in 1935 by Ferenc (Franz) Preisach〔Ralph Smith, (''Smart material systems: model development'' ), SIAM, 2005. p. 189.〕 in the German academic journal "''Zeitschrift für Physik''".〔F. Preisach, ''Über die magnetische Nachwirkung''. ''Zeitschrift für Physik'', 94:277-302, 1935〕 Since then, it has become a widely accepted model of hysteresis.〔Augusto Visintin, ''Differential Models of Hysteresis (Applied Mathematical Sciences)'', Springer, 1995〕 The Preisach model is especially accurate in the field of ferromagnetism, as the ferromagnetic material can be described as a network of small domains, each magnetized to a value of either $h$ or $-h$. A sample of iron, for example, may have evenly distributed magnetic domains, resulting in a net magnetic field of zero. ==Nonideal relay== The relay hysteron is the fundamental building block of the Preisach model. It is described as a two-valued operator denoted by $R\_$. Its I/O map takes the form of a loop, as shown: Above, a relay of magnitude 1. $\backslash alpha$ defines the "switch-off" threshold, and $\backslash beta$ defines the "switch-on" threshold. Graphically, if $x$ is less than $\backslash alpha$, the output $y$ is "low" or "off." As we increase $x$, the output remains low until $x$ reaches $\backslash beta$—at which point the output switches "on." Further increasing $x$ has no change. Decreasing $x$, $y$ does not go low until $x$ reaches $\backslash alpha$ again. It is apparent that the relay operator $R\_$ takes the path of a loop, and its next state depends on its past state. Mathematically, the output of $R\_$ is expressed as: $y(x)=\backslash begin$ 1&\mboxx\geq\beta\\ 0&\mboxx\leq\alpha \\ k&\mbox\alpha\end Where $k=0$ if the last time $x$ was outside of the boundaries This definition of the hysteron shows that the current value $y$ of the complete hysteresis loop depends upon the history of the input variable $x$. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Preisach model of hysteresis」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.