The force and torque between two permanent magnets?

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SUMMARY

This discussion focuses on calculating the forces and torques between two diametrically magnetized cylindrical permanent magnets (PMs), specifically NdFeB PMs. The user seeks to determine if the equations applicable to axially magnetized PMs can be used for their diametrically magnetized counterparts. They express a need for mathematical modeling due to the lack of software tools and inquire about experimental methods to validate their findings, including the use of Hall effect sensors for measuring magnetic fields and other techniques for force and torque measurement.

PREREQUISITES
  • Understanding of permanent magnet dynamics
  • Familiarity with finite element method (FEM) analysis
  • Knowledge of Hall effect sensors and their applications
  • Basic principles of torque and force measurement techniques
NEXT STEPS
  • Research mathematical modeling techniques for diametrically magnetized permanent magnets
  • Learn about finite element method (FEM) software for magnetic field analysis
  • Explore various force measurement techniques, including pendulum displacements and electronic sensors
  • Investigate torque measurement methods suitable for experimental setups
USEFUL FOR

Engineers, physicists, and researchers involved in magnetics, particularly those studying the interactions of permanent magnets and seeking experimental validation of theoretical models.

flofelis
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Hi all =)

I am interested to find the forces and torques between two (diametrically magnetized) cylindrical permanent magnets (PMs) placed within a vicinity, as shown below:
PMs_ooazaq.png

The NdFeB PMs placed beside one another with a distance, d. Both are rotated by independent external sources (I have solenoids to independently drive the PMs). This will affect each PM in terms of the torque and force.

So I am just wondering if I could use the same force/torque equations (e.g. for the force as shown below) between two axially magnetized PMs for the diametrically magnetized ones as well:
Force_between_2_cylindrical_magnets_gjzzuu.png

I do not have a software for this, thus I would need to model it mathematically.. (i have spent weeks trying to find a way to do it but I ran out of idea)

I see that most cases are calculated for axially magnetized PMs so I am not sure if the generally available equations for the axially magnetized PMs can be used in my case. I got pretty confused as to how I should compute the dynamics (force and torque of one PM (primary) when another is closely present).. as well as how far should the PMs be apart so I could ignore the effect of the other PM onto the primary PM.

Looking forward to hearing from anyone with ideas and advice =) Thank you very much!
 
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Experiment is the best way. FEM can be tricky, and results must be validated to be reliable.
 
I have some hall effect sensors which could help get the magnetic field at a certain location..I could use that for force or torque verification through my equations. Do you have any suggestions on what sensors or equipment I could use in experiments as such? Thanks again~! =)
 
If your FEM or equation predicts force, you should measure force. The same is true with torque. There are a lot of ways to measure force: displacements of pendula, electronic sensors, etc. Measuring torque is harder.
 

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