What have you found on the rebuilds? What damage have you found. Bearing problems have their own frequency, unbalance is at running speed frequency, electrical problems are associated with line frequency or slip frequency if it is an induction motor. Is it induction, synchronous, variable speed, DC....? You have not really provided enough info to even begin to answer the question.
Oh and by the way, to a rotating machinery vibration guy 3600 is not considered "high speed." I mess with turbo compressors with speeds up to 35000 rpm, now that is high speed....
-The future's so bright I gotta wear shades!