Forces between arrays of permanent magnets of basic geometric shapes

Vokoun, D.; Beleggia, Marco

doi:10.1016/j.jmmm.2013.09.023

Cited by 16 publications

(6 citation statements)

References 11 publications

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“…In experiment I, we measured the magnetic ux density of three magnetic "sun" for different magnet masses 32 . when the masses of "sun"m 3 and "sun"m 4 increase, their magnetic ux density increase.…”

Section: Magnet Mass and Ux Densitymentioning

confidence: 99%

Experimental method of permanent magnet rotation

Tong¹

2021

Preprint

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Why does the earth rotate? In the 17th century, an accurate description of the earth’s rotation was provided via Newtonian mechanics1. However, the driving force was not given a mechanistic treatment, was merely ascribed to a “push” by God. At present, All kinds of theories about the rotation of the planet are still hypotheses2,3. In this study, It provides experimental evidence for researching the relationship between planet (Earth) rotation and magnetic fields4. The proposed experimental devices and research methods are based on the characteristics of the kinematic relations between the sun and planet. A permanent magnet representing the sun is installed on the shaft of a DC motor, spherical magnet representing the planet is designed at the center of hollow sphere and can float on water, ensure free rotation. Based on the above device5, the method of permanent magnet rotation in magnetic field and the experimental procedure of rotation reason are introduced.

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Section: Magnet Mass and Ux Densitymentioning

confidence: 99%

Experimental method of permanent magnet rotation

Tong¹

2021

Preprint

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“…The benefit for these applications is that magnetic forces act without physical contact over larger distances than electrostatic, piezoelectric or other schemes [5,8,9]. In the literature related to permanent magnets, calculations of forces between magnets of various shapes and geometries have their relevance in the context of several applications.…”

Section: Introductionmentioning

confidence: 99%

“…Several expressions for the force between cylindrical magnets have also been published in previous literature [7][8][9][10][11][12][13][14][15][16][17], and they did not make use of exact solutions in any form and are more complex than the expression to be presented in the current work. The magnetic field produced by a cylindrical permanent magnet can be determined with the same analytical formulation as the one used for a cylindrical thin coil [9].…”

Section: Introductionmentioning

confidence: 99%

A New Approximation for Calculating the Attraction Force in Cylindrical Permanent Magnets Arrays and Cylindrical Linear Single-Axis-Actuator

Mohdeb¹,

Allag²,

Hacib³

2019

PIER C

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New accurate approximation is proposed using integral expressions for evaluating the magnetic force between cylindrical permanent magnet arrays. The magnetic field distribution is calculated analytically by using Coulombian model. In this paper, every cylindrical magnet is divided into elementary cuboidal magnets. The accuracy can be controlled by regulating the value of elementary cuboidal permanent magnets "N ". The approximation can also be used to calculate the force interaction in the cylindrical linear single-axis-actuator. We confirm the validity of magnetic force calculation by comparing it with other methods and measurements. The calculation results are in very good agreement with measured values, which indicates the feasibility of our approximation.

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“…For cylindrical permanent magnets, the magnetic force between two coaxial/parallel magnets has been calculated assuming uniform magnetization and studied by magnetostatic interaction energy [20], Kelvin's formula [21], Ampere's formula [22], and Lorentzian model [23], respectively. The analytical expression of the attractive force between two arrays of cylindrical permanent magnets was derived from the derivative of the total magnetostatic interaction energy with respect to the axial coordinate [24,25]. Interaction energy and force between two parallel thin magnetic nanotubes with axial magnetization have been calculated by four different approaches [26].…”

Section: Introductionmentioning

confidence: 99%

Interaction Forces and Torques between Two Perpendicular Magnetic Tubes

Li¹

2018

JMAG

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Cylinders, tubes, cuboids, etc. are basic magnet shapes used in permanent magnet machines. The relative positions between magnets include parallel, perpendicular, or inclined. The force and torque between two cuboid magnets of almost any status and two cylindrical magnets with paralleled axes have been solved. Using the theory of magnetic charges and magnetic Coulomb's law, this study derives a mathematical model for interaction forces and torques between two perpendicular magnetic tubes in three dimensions. Using this model, the effects of tube relative positions on the interaction forces and torques is analyzed by numerical calculation. The model can also express interaction forces and torques between a magnetic tube and magnetic cylinder or between two magnetic cylinders when the inner radius of one magnetic tube is zero or the radii of both tubes are zero. This study provides the theoretical background for magnetic tube and cylinder applications, such as magnetic drive or control across space in mechanical, medical treatment, chemical industry, food production, aerospace, etc.

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Forces between arrays of permanent magnets of basic geometric shapes

Cited by 16 publications

References 11 publications

Experimental method of permanent magnet rotation

Experimental method of permanent magnet rotation

A New Approximation for Calculating the Attraction Force in Cylindrical Permanent Magnets Arrays and Cylindrical Linear Single-Axis-Actuator

Interaction Forces and Torques between Two Perpendicular Magnetic Tubes

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