It does seem to come in waves, doesn't it? (get it?...waves...)
Some people don't really know how to ask the right questions. I think I would rather have someone ask questions like this than others where someone comes in and announces just how brilliant they are with their new ideas that no one has ever thought of and how incredibly easy it would be to implement when there is no basis in reality.
When I was doing mechanical experiments, I used modal impact tests to find external spring and damping coefficients for my rig. (Formulas can also be found for, eg., shafts.)
However, viscous damping of internal components was impossible to estimate.
In the end, my experiment turned into a form of measuring this coefficient from the observable dynamics at different parameter values.