Effect of electromagnetic damping with variable current

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A constant damping effect from an electromagnet can significantly influence the damping ratio and logarithmic decrement amplitude in oscillating systems. Increasing the current through the electromagnet is expected to produce a linear relationship with the damping ratio, but experimental results may show a nonlinear curve due to factors like saturation of the electromagnet or the material properties involved. Biot-Savart's Law indicates that the electromagnetic force is proportional to the current, yet the relationship between magnetic field strength (B) and magnetic field intensity (H) in paramagnetic materials is not linear. This nonlinearity may lead to unexpected results in damping behavior as current increases. Understanding these dynamics is crucial for accurate modeling of electromagnetic damping systems.
Samlax
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Hi guys, first time poster.

My question is; How would a constant damping provided by an electromagnet affect the damping ratio (and logarithmic decrement) amplitude? And how would increasing the current through the electromagnet affect the damping?

So far I've found Biot-Savart's Law which suggests the EMF will be directly proportional to the current.
However, my results suggest a curve between the Current and the logarithmic decrement.
I know that the logarithmic decrement to damping ratio relationship will be a straight line.

Am I reading the law wrong, or have I measured the results incorrectly?

Thanks,
Samlax
 
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You need to be more specific as to what you're doing.
 
I'm investigating the effect increasing the Current has on a particle that is freely oscillating between two springs, but is dampened by an electromagnetic dampener that is meant to model a linear viscous dampener.

From this I am finding the damping ratio, and need to find a relation between an increasing Current and the ratio. I predicted it would be linear as Current is a constant in Biot-Savart's Law, but my results have returned with a curved line.

Hope this is more accurate?
 
The probable cause for the nonlinear relationship between damping and current is probably the tendency toward saturation of the "particle". Of course it could be other things, I don't know the details of your setup. The electromagnet could itself be saturating.

The relationship between B and H in paramagnetic materials (iron, nickel, alloys thereof etc.) is not linear. As H (current) increases, the B curve tends to flatten out.
 

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