I'd suggest you start with a modal analysis. If you hit any of the harmonics you might be in trouble.
Of course, the 'perfect' cylinder won't be out of balance. Do you have any data from actual measurement that you could use as an input?
motion analysis could help here as long as you can model the imbalance
measure the forces at the joint to find out if you're within spec
this would assume that things are not deformable