Forces between arrays of permanent magnets of basic geometric shapes

D. Vokoun; Marco Beleggia

doi:10.1016/j.jmmm.2013.09.023

Forces between arrays of permanent magnets of basic geometric shapes

D. Vokoun, Marco Beleggia

Czech Academy of Sciences

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

We provide formulas for evaluating the magnetic force between two permanent magnet arrays, regularly spaced over a square lattice. We focus on three basic shapes of magnets constituting the arrays: cylinder, sphere and rectangular prism. When the lattice parameter is large, the expressions can be used to calculate the force between two single magnets in a computationally efficient way. The calculations are validated experimentally by measuring the attraction force between two single permanent magnets, where we demonstrate a fair agreement within about 15%.

Original language	English
Journal	Journal of Magnetism and Magnetic Materials
Volume	350
Pages (from-to)	174-178
ISSN	0304-8853
DOIs	https://doi.org/10.1016/j.jmmm.2013.09.023
Publication status	Published - 2014

Keywords

Magnetic materials
Magnetism
Permanent magnets

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10.1016/j.jmmm.2013.09.023

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abstract = "We provide formulas for evaluating the magnetic force between two permanent magnet arrays, regularly spaced over a square lattice. We focus on three basic shapes of magnets constituting the arrays: cylinder, sphere and rectangular prism. When the lattice parameter is large, the expressions can be used to calculate the force between two single magnets in a computationally efficient way. The calculations are validated experimentally by measuring the attraction force between two single permanent magnets, where we demonstrate a fair agreement within about 15%.",

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AU - Beleggia, Marco

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AB - We provide formulas for evaluating the magnetic force between two permanent magnet arrays, regularly spaced over a square lattice. We focus on three basic shapes of magnets constituting the arrays: cylinder, sphere and rectangular prism. When the lattice parameter is large, the expressions can be used to calculate the force between two single magnets in a computationally efficient way. The calculations are validated experimentally by measuring the attraction force between two single permanent magnets, where we demonstrate a fair agreement within about 15%.

KW - Magnetic materials

KW - Magnetism

KW - Permanent magnets

U2 - 10.1016/j.jmmm.2013.09.023

DO - 10.1016/j.jmmm.2013.09.023

M3 - Journal article

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SP - 174

EP - 178

JO - Journal of Magnetism and Magnetic Materials

JF - Journal of Magnetism and Magnetic Materials

ER -

Forces between arrays of permanent magnets of basic geometric shapes

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Keywords

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