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Magnetic forces between two axially magnetized cylinders. Case 1: Cylinders are coaxial. - QuickField simulation example

Engineering question

How to find force between coaxial permanent magnets?

Engineering answer
Set up an axisymmetric QuickField DC Magnetics problem for coaxial permanent magnets and evaluate force between cylinders from computed field results.

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Typical applications
coaxial permanent magnets, cylindrical magnet pairs, magnetic actuator magnets

Magnetic forces between two axially magnetized cylinders. Case 1: Cylinders are coaxial.

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Simulation problem

Problem Type
Axisymmetric problem of DC magnetics

Geometry
Cylinders are coaxial Magnetic forces between two axially magnetized cylinders Permanent magnet Hc dz X Y Z

dz = 2 cm.

Given
Cylinder diameter D = 1 cm,
Cylinder height H = 4 cm,
Permanent magnet relative permeability μ = 1.05,
Permanent magnet coercive force Hc = 1 000 000 A/m.

Task
Calculate the magnetic force between cylinders.

Solution
The resulting field may be decomposed into the individual fields generated by each cylinder. The free tool Cylinder PM force 3D allows the magnetic force calculation using the automatic summation of several axisymmetrical DC magnetic fields, simulated by QuickField.

Results

Case 1. Coaxial cylinders

fx fy fz
Cylinder PM force 3D tool 3e-16 N 3e-16 N 1.14 N
Reference (QuickField 2D axisymmetric) 0 N 0 N 1.24 N

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