vibration damper

First, why does the pump have such high vibration that fittings come loose? That's not normal and suggests something wrong. But, after you fix that, tell us something about the size (weight) and hp of this beast.

I pressume you are using hoses in conjunction with the fittings. If not, this might be the culprit.

Or, try using engine mounts or rubber bushings.

Paint shakers at hardware stores use springs on the bottom. They seem to prevent most of the vibration from transferring to tables, etc.

This might help

http://www.fabreeka.com/