The norms use to be general for all kinds of machinery but, it could be useful to check the next norms as well as the VDI:
ISO 10816
API-617 Centrifugal compressors
API-618 Reciprocating compressors
You can find out more informations from the manufacturer, it is very common to find admissible vibration levels in the technical manuals of the machine. If there aren't specified, you can ask for them and the compressor manufacturer must give you an idea.
Regards
Marc