This is a non-trivial problem.
To be successful, you will have to determine the vibration frequencies emitted by the equipment under various conditions and do whatever it takes to dampen all those frequencies in the structure.
One strategy which is more likely to be successful than not is to place the mount points of the platform directly over load bearing supports all the way to the ground under the structure. This could be through a series of walls which are aligned atop each other, but if there is any cavity above or below them, there is a set of frequencies at which that wall will vibrate the floor/ceiling of the cavity. It would be hard to do that for more than two corners of the platform unless it is significantly oversized to reach a pair of walls.
Another technique would be to firmly attach plate steel (or similar) in the attic to the ceiling joists to a) change the resonant frequency and possibly b) dampen any vibration. This is so hard to determine by engineering computer models that it is simply faster and more accurate to do it empirically: That is, by trial and error.