If you are looking for specs for casing vibration, I would recommend ISO 10816-3. There are four tables from which to choose, depending on the power or configuration of the equipment. The thresholds cited are in units of mm/sec rms. People in the US may, then, have to convert to different units.
I believe the decision that must be made in picking out a spec for a vertical machine lies in the discussion about "flexible" vs "rigid" machines. Each table gives thresholds for each of these categories. The paragraph in 10816-3 that defines "flexible vs rigid" recommends that vertical machines are, generally, flexible.
So...to summarize, I would recommend ISO 10816-3. Pick out a table that most closely matches your equipment, and use the thresholds cited for flexible equipment.