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Main >> Applications >> Sample problems

Attraction of the cylindrical magnet to the steel plate - QuickField simulation example

Cylindrical permanent magnet is pulled toward the ferromagnetic plate.

Engineering question

How to find force between cylindrical permanent magnets and steel plates?

Answer
Set up an axisymmetric QuickField DC Magnetics problem for a cylindrical permanent magnet and steel plate system and evaluate force from computed field results.

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Typical applications
cylindrical permanent magnets, magnetic holding fixtures, magnet-steel interfaces

Attraction of the cylindrical magnet to the steel plate

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Simulation problem

Problem Type
Axisymmetric problem of DC magnetics

Geometry
Attraction of the cylindrical permanent magnet to the steel plate Cylindrical permanent magnet is pulled toward the ferromagnetic plate Steel plate Permanent magnet δ l t D

D = 2" (50.8 mm) - magnet diameter;
L = 0.65" (16.51 mm) - magnet thickness;
t = 2" (50.8 mm) - plate thickness;

Given
magnet grade N35, Hc = 954930 A/m, Br = 1.26 T;
relative magnetic permeability of plate μsteel = 1000.

Task
Calculate the pulling force of the magnet toward the steel plate.

Solution
To calculate the pulling force accurately, and avoid integration along the edge dividing media with large difference in magnetic permeabilities, we place the magnet at a small distance δ = 0.005" (0.127 mm) from the steel plate. Integration contour is drawn in the air around the magnet.

Result
pulling force of the magnet toward the steel plate

Pull force
QuickField 542 N
Reference* 510 N (112.3 lb, 1 lb = 4.54 N)

* Reference: www.kjmagnetics.com.

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