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Main >> Applications >> Sample problems

Repelling of the cylindrical magnets - QuickField simulation example

Two coaxial cylindrical permanent magnets repel one another.

Engineering question

How to find repelling force between coaxial cylindrical magnets?

Answer
Set up an axisymmetric QuickField DC Magnetics problem for coaxial cylindrical magnets and evaluate repelling force from computed field results.

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Typical applications
coaxial cylindrical magnets, permanent magnet assemblies, axial magnet interaction systems

Repelling of the cylindrical magnets

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Simulation problem

Problem Type
Axisymmetric problem of DC magnetics

Geometry
Repelling of the cylindrical magnets Calculate the repelling force between two coaxial cylindrical magnets Permanent magnet Permanent magnet δ l D

D = 2" (50.8 mm) - magnet diameter;
L = 0.65" (16.51 mm) - magnet thickness;
δ=0.5" (12.7 mm) - gap between the magnets;

Given
magnet grade N35, Hc = 909 kA/m, Br = 1.21 T.

Task
Calculate the repelling force between two coaxial cylindrical magnets.

Solution
To calculate the correct result an integration contour is drawn in the air around one of the magnets.

Result
Magnetic field lines and mechanical force calculation
Two coaxial cylindrical permanent magnets repulsion simulation

Repelling force
QuickField 145 N
Reference* 153 N (33.77 lb, 1 lb = 4.54 N)

* Reference: www.kjmagnetics.com.

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