Paper on the Issue of Mathematical Modeling of Magnetic Fields of Magnetostrictive Displacement Transducers Containing a Permanent Magnet in the Form of a Rectangular Parallelepiped

Yu. N. Slesarev, A. A. Vorontsov
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引用次数: 1

Abstract

The article is devoted to the analysis of existing models of magnetic fields formed by magnetostrictive converters of linear and angular displacements containing permanent magnets in the form of a rectangular parallelepiped. Mathematical models of permanent magnets in the form of a rectangular parallelepiped are considered. It is shown that not all existing mathematical models allow to correctly and accurately calculate the magnetic fields of permanent magnets in the form of a rectangular parallelepiped. Computational experiments were carried out to study the magnetic field of permanent magnets in the form of a rectangular parallelepiped using mathematical models. The results of computational experiments also showed that the difference in the calculations of the magnetic field strength of magnetostrictive displacement transducers containing permanent magnets in the form of a rectangular parallelepiped according to the exact model and the approximate model differ and depend on the ratio of its length or length and width from its thickness. Depending on whether this value exceeds 10 times, it becomes possible or not to use the above formulas and expressions. It is revealed which formulas and expressions are better to use in this or that case. To confirm the results of the computational experiment and theoretical studies, an experimental test was carried out, which showed a coincidence with the results obtained in computational experiments.
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含矩形平行六面体形式永磁体的磁致伸缩位移换能器磁场的数学建模
本文致力于分析现有的由含有长方体平行六面体形式的永磁体的线性位移和角位移的磁致伸缩变换器所形成的磁场模型。考虑了矩形平行六面体永磁体的数学模型。结果表明,并不是所有现有的数学模型都能正确准确地计算出矩形平行六面体形式永磁体的磁场。采用数学模型对矩形平行六面体永磁体的磁场进行了计算实验研究。计算实验结果还表明,矩形平行六面体形式含永磁体的磁致伸缩位移换能器,根据精确模型和近似模型计算的磁场强度差异不同,取决于其长度或长度与宽度与厚度的比值。根据该值是否超过10倍,可以使用或不使用上述公式和表达式。它揭示了在这种或那种情况下使用哪些公式和表达式更好。为了验证计算实验和理论研究的结果,进行了实验测试,结果与计算实验结果吻合。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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