Vibration shouldn't normally happen with centrifigual pumps.

If it's cavitation deal with that directly.

If not, check if the frequencies match the RPM. I've been involved with one centrifigual pump that had vibration problems where the natural frequency of the supporting structure resonated with the pump. Fortuneatly the pump had a VFD so we tuned the pump to not operate at the resonance frequencies.

For reciprocating piping, we normally stiffen the piping AND supporting structure such that the natural frequency is significantly above the run speed. If seen recommendations from 1.2x to 2x and check if it's double acting which sometimes requires exceeding double the run speed.

For resources I think the Caesar manual has good examples and there are dozen's of books on vibrations. And to be honest if it's more complicated than fixing a resonance problem I find a vibration expert to help.