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Main >> Applications >> Sample problems

Repelling of the ring-shaped magnets - QuickField simulation example

Two coaxial permanent ring-shaped magnets repel each other.

Engineering question

How to find repelling force between coaxial ring magnets?

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

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

Repelling of the ring-shaped magnets

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Simulation problem

Problem Type
Axisymmetric problem of DC magnetics

Geometry
Repelling of the ring-shaped magnets Two coaxial permanent ring-shaped magnets repel each other Permanent magnet Permanent magnet δ L D1 D2

D1 = 2" (50.8 mm) inner diameter of the ring magnet;
D2 = 0.5" (12.7 mm) outer diameter of the ring magnet;
L = 0.75" (19.05 mm) - thickness of the magnet;
δ=0.5" (12.7 mm) - gap between the magnets.

Given
magnet grade N35, Hc = 954930 A/m, Br = 1.26 T;

Task
Calculate the repelling force between two coaxial ring-shaped permanent magnets.

Solution
For accurate calculation, the integration contour is drawn in the air around one of the magnet.

Result
Magnetic field lines and mechanical force calculation
Two coaxial permanent ring-shaped magnets repulsion simulation

Repelling force
QuickField 160 N
Reference* 175 N (38.51 lb, 1 lb = 4.54 N)

* Reference: www.kjmagnetics.com.

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