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Main >> Applications >> Sample problems

Attraction of the ring-shaped magnets - QuickField simulation example

Two coaxial permanent ring-shaped magnets are pulled to each other.

Engineering question

How to find attraction force between coaxial ring magnets?

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

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

Attraction of the ring-shaped magnets

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Simulation problem

Problem Type
Axisymmetric problem of DC magnetics

Geometry
Attraction of the ring-shaped magnets Two coaxial permanent ring-shaped magnets are pulled to each other 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 pulling 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 attraction simulation

Pull force
QuickField 163 N
Reference* 175 N (38.51 lb, 1 lb = 4.54 N)

* Reference: www.kjmagnetics.com.

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