How does changing the amplitude and frequency of a wave effect its speed?

The simple anaswer is that it depends on the cause of the vibation. If the vibration is caused by imbalance then the vibration should vary with the square of the speed (i.e speed doubles vibration increased by x4). Imbalance is not the only cause of vibration so you need to establish the cause first before you can anwer the question. There are plenty of places where you can buy a vibration chart but a good free site, which I use, is VibroNurse which has a tool for analysing vibration (as well as some very strange pictures!!!) ... the URL is www.vibronurse.com.