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%. (C) 2013 Elsevier B.V. All rights reserved.
Forces between arrays of permanent magnets of basic geometric shapes / Vokoun, D; Beleggia, M. - In: JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS. - ISSN 0304-8853. - 350:(2014), pp. 174-178. [10.1016/j.jmmm.2013.09.023]
Forces between arrays of permanent magnets of basic geometric shapes
Beleggia M
2014
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%. (C) 2013 Elsevier B.V. All rights reserved.
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