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Dec 22, 2014
02:21 PM

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Dec 22, 2014
02:21 PM

Parameters of a Damped Oscillator

I want to estimate the parameters for a damped oscillator from an observed output (assuming the system acts like a damped oscillator). The attached evaluates the solution for a damped oscillator with zero initial conditions and a forcing function that ramps up to a unit value then ramps down to zero. And gives an example for assumed damping, etc. But I am interested in the inverse problem: Given only the output, how can I estimate or infer the parameters of the oscillator knowing only that the forcing function is as given? Can someone put me on to a systematic way to do this?

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Dec 25, 2014
02:58 PM

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Dec 25, 2014
02:58 PM

4 REPLIES 4

Dec 22, 2014
04:39 PM

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Dec 22, 2014
04:39 PM

There is a way to estimate damping from measured data, the "log decrement" method.

I've got a sheet somewhere . . .

Dec 24, 2014
01:07 PM

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Dec 24, 2014
01:07 PM

Somewhere in the cobwebs of my mind, this rings a bell. If you manage to turn up a sheet that would be great!

Dec 25, 2014
02:58 PM

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Dec 25, 2014
02:58 PM

Can't find the one I built before.

Here's one from your example

Dec 27, 2014
03:01 PM

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Dec 27, 2014
03:01 PM

Thanks. Your worksheet was an education.