Given a curve how to find the damping ratio?

AI Thread Summary
To find the damping ratio of an overdamped second-order spring-mass-damper system, fitting the data to an exponential function is suggested, as the decay rate is influenced by both the undamped frequency and the damping ratio. However, determining the damping ratio directly may be challenging in overdamped systems compared to underdamped or critically damped systems. The discussion emphasizes the complexity of analyzing overdamped oscillators due to their unique characteristics. Overall, while guidance is available, the specific nature of overdamped systems complicates the extraction of the damping ratio. Understanding these nuances is crucial for accurate system analysis.
sgsawant
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I have a data of a system (2nd order spring-mass-damper). From the looks of it, the system is quite certainly overdamped. Can someone guide me as to how to find the damping ratio?

Regards,

-sgsawant
 
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I'm not sure you can, for over-damped oscillator. You can fit it to exponent, but the decay rate will depend on both the undamped frequency and the damping ratio.

If it was under-damped or critically damped, you'd be able to.
 
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