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Main >> Applications >> Sample problems

Magnetic forces between two axially magnetized cylinders. Case 2: Cylinder axes are parallel - QuickField simulation example

Engineering question

How to calculate the 3D force between two parallel, axially magnetized cylinders using axisymmetric models?

Answer
Decompose the field into contributions from each cylinder and use Cylinder PM Force 3D to sum forces from the axisymmetric QuickField solutions.

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Typical applications
axially magnetized cylinders, permanent magnet assemblies, magnetic positioning systems

Magnetic forces between two axially magnetized cylinders. Case 2: Cylinder axes are parallel.

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Simulation problem

Problem Type
Axisymmetric problem of DC magnetics

Geometry
Cylinders' axes are parallel Magnetic forces between two axially magnetized cylinders Permanent magnet Hc dX X Y Z

dx = 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
Magnetic force between two parallel axially magnetized cylindrical permanent magnets whose axes are laterally displaced by the specified offset distance.

Solution
The problem geometry is 3D and we cannot directly use QuickField. But 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 2: Cylinder axes are parallel.

fx fy fz
Cylinder PM force 3D tool 3.4 N 9e-16 N -0.14 N
Reference (ANSYS 3D) 2.9 N 0.04 N -0.13 N

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