Example1 Deformation Caused by the Forces between Magnets

General

  • A polyethylene plate is inserted in the magnets’ gap of Ex-5 of the magnetic field analysis.
     

  • The plate is deformed due to the magnetic force between the magnets.
     

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

 

Analysis Space

Item

Settings

Analysis Space

3D

Modelunit

mm

 

Analysis Conditions

Item

Settings

Solvers

Magnetic Field Analysis [Gauss]
Mechanical Stress Analysis [Galileo]

Mechanical-Stress-Analysis Type

Static analysis

Options

N/A

Model

Two solid bodies of magnets (mag1, mag2) are defined.

A polyethylene plate, is inserted in the magnets’ gap.

The magnetizing direction of the magnets is +Z by default.

That means the top of the magnet is the north magnet pole and the bottom is the south magnet pole.

 

The automatically created ambient air is applicable only in the magnetic field analysis, not in the thermal analysis.

Mesh size is set at 0.5[mm] as the magnetic field changes drastically between the magnets.

 

  • 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

Mesh Size

0/Solid

mag1

mag

2.5

2/Solid

mag2

mag

2.5

3/Solid

PE

000_Polyethylene(PE)

2.5

* Available from the Material DB

 

The material properties are set up as follows:

Material Name

Tab

Properties

mag

Permeability

Select “Enter the magnet properties”

Magnet

Magnetization Strength: 0.5

Elasticity

Young’s modulus: 10×109[Pa]

 

Boundary Conditions

To stabilize the mechanical stress analysis, XY plane displacements on the lower face of mag1 and upper face of mag2 are fixed.

Boundary Condition Name/Topology

Tab

Boundary Condition Type

Setting

Fix/Face

Mechanical

Displacement

Select X and Y components.

UX=0, UY=0

Results

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

 

 

 click [Table] .

 

Two magnets are pulling each other with the force of 2.4[N] in the Z direction.

 

 

 

The vectors of the displacement are shown for the XZ section.

The displacement is generated by the magnets’ pulling forces. The displacement is in the opposite direction at the other end of each magnet.

 

The vectors of the mechanical stress are shown below.

The compression forces are concentrating in the gap between the magnets.