Mike,
Sounds like you have a handle on it. As to finding the natural freq of the rotor in combination with it's driven mass (screw). Some motors have the resonance listed in the specs, but as soon as you add the mass of the screw (and coupling) that resonance changes. The more rotating mass that is added, the lower the resonance goes. Take a look at this one...
http://www.cnczone.com/forums/genera...resonance.html
You would have to take the measurement on the unit of course. Best way to position the vibration picup would be on the side of the motor with its sensitive axis in line with the rotation plane. Put the analyzer in peak hold and have the motor step single steps very slowly (maybe 5 steps/sec) and watch the resonant freq pop up.
As to the resonant freq of the donut... that would depend on the elasticity of the matreial it is held with along with the mass distribution of the donut. If the donut weighs 5 oz and has a heavy hub, it will have a higher resonant frequency than a 5 oz one that has a light hub and heavy rim.
Walky
Your idea of the couplers is not too bad. Never thought of using them that way. Using a colar on the shaft that has 2 or more equaly spaced pieces of small threaded rod perpendicular to the motor shaft would allow you to use nuts and washers as adjustable weights (make sure the weight and radial distances match) to tune it.
Steve