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# Example4Iron Plate Pulled by Horseshoe Magnet

General

• A magnetic material is placed near the horseshoe magnet used in Exercise 3. It is pulled by the magnet.

• The vectors of the magnetic field and the magnetic flux density, and the electromagnetic forces are solved.

• Unless specified in the list below, the default conditions will be applied.

### Analysis Space

 Item Settings Analysis Space 3D Model unit mm

### Analysis Conditions

 Item Settings Solvers Magnetic Field Analysis [Gauss] Analysis Type Static analysis Options N/A

Set the Mesh Tab as follows.

 Tab Setting Item Settings Mesh Meshing Setup Automatically set the general mesh size: Deselect General mesh size: 5[mm]

### Model

A magnetic plate is placed under the horseshoe magnet used in Exercise 3. There is some gap between the plate and horseshoe magnet.

A solid body of horseshoe magnet consists of 8 parts and each part is defined.

This is because each part has its own magnetizing direction.

Mesh size is set at 0.5[mm] for both ends of the magnet as the magnetic fields change drastically at both ends.

• Set the gap between the bodies and mesh size properly to obtain valid calculation results.
See [Calculation of the Electromagnetic Force] for more details.

### Body Attributes and Materials

 Body Number/Type Body Attribute Name Material Name 1/Solid mag1 mag 2/Solid mag2 mag 0/Solid mag3 mag 3/Solid softmag softmag

* Available from the Material DB

The material properties are set up as follows:

 Material Name Tab Properties mag Permeability Material Type: Permanent Magnet Magnet Magnetization Strength: 0.5 softmag Permeability Relative Permeability: 5×10^3

The body attributes for mag1 to mag3 are set as follows.

 Body Attribute Name Tab Setting Item Settings mag1 Direction Direction Type Vector Vector X=0, Y=0, Z=1 mag2 Direction Direction Type Rotational Coordinates on Center Axis X=0, Y=0.005, Z=0.04 Vectors of Center Axis X=0, Y=1, Z=0 Direction Anticlockwise mag3 Direction Direction Type Vector Vector X=0, Y=0, Z=-1

The resulting magnetizing directions are as follows.

No setting.

### Results

To see the electromagnetic force, go to the [Results] tab

click [Table] .

The magnetic material (Fe) is subjected to 4.2[N] magnetic force in the Z direction from the horseshoe magnet.

The vectors of the magnetic field are shown below.

The magnetic field is quite strong in the spaces bookended between the poles of the magnet and the iron plate.

The vectors of the magnetic flux density are shown below.

The divergence of the magnetic flux density vector is zero everywhere (Maxwell’s equations).

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