Well, to be honest that 1 m/s^2 figure is our first guess - we are trying to get the gearbox supplier to accept the idea of a vibration limit. We have specified that at the transmission mounting itself, rather than all over the casing, but for an airborne sound problem you (obviously) need to specify a surface velocity for the whole surface. We do not have an internal model of the gearbox (they are a black-box item), so I haven't got the faintest what level of vibration is acceptable internally.
I'm amazed that known good gearsets don't cure bad boxes, as I would have thought that the boxes wouldn't change much. Is it the gear transmission error due to the difference in shaft spacing perhaps? Is a bad gearset in a good casing OK? What's your gear transmission error? Is it worse in a bad gearbox?
Our gearnoise problems are at similar frequencies and we have an expensive fix - a torsional damper on the front of the driveshaft. Tuning it is by guess and by god, but it does work very nicely. We also have an internal torsional damper in the driveshaft, but that's usually tuned for diff whine, not trans whine.
Cheers
Greg Locock