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arXiv 1409.0583cond-mat.mtrl-sci
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软磁材料磁滞建模与标度的一种方法。I 磁化曲线

An Approach to Modeling and Scaling of Hysteresis in Soft Magnetic Materials. I Magnetization Curve

Krzysztof Z. Sokalski

AI总结:

提出一种通过扩展 tanh 中 exp 底数构建的自相似磁滞回线模型,并借助广义齐次函数实现磁滞回线标度。

摘要:

本文推导了一种新的磁滞回线数学模型。该模型通过将 exp 函数的底数扩展为任意正数,对 tanh(·) 进行扩展。所提出的模型具有自相似性,并且在标度变换下保持不变。文中利用广义齐次函数的概念完成了磁滞回线的标度。

英文摘要:

A new mathematical model of hysteresis loop has been derived. Model consists in an extansion of tanh($\cdot$) by extanding the base of exp function into an arbitrary positive number. The presented model is self-similar and invariant with respect to scaling. Scaling of magnetic hysteresis loop has been done using the notion of homogenous function in general sense.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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