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Magnetic forces between two axially magnetized cylinders. Case 3: Cylinder axes are orthogonal. - QuickField simulation example

Engineering question

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

Answer
Use the Cylinder PM force 3D Excel utility to automatically combine the axisymmetric QuickField solutions for the individual cylinders and calculate the resulting 3D magnetic force.

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Typical applications
orthogonal permanent magnet pairs, magnetic positioning assemblies, magnet interaction systems

Magnetic forces between two axially magnetized cylinders. Case 3: Cylinder axes are orthogonal.

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Simulation problem

Problem Type
Axisymmetric problem of DC magnetics

Geometry
two axially magnetized cylinders model

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
Magnetic force between two axially magnetized cylindrical permanent magnets whose axes are perpendicular, evaluated for their three-dimensional interaction.

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 3: Cylinder axes are orthogonal.

fx fy fz
Cylinder PM force 3D tool 5e-16 N -1.18 N -0.14 N
Reference (ANSYS 3D) 0.07 N -1.17 N -0.08 N

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