Is there a book/report(s) that can shed light on this issue? I am into making custom projects that are powered by engines and one, in particular, I am very interested in making sure I don't get any induced vibrations or oscillations. Suppose I have my engine affixed to a frame and I wish to have it turn a pulley sheave at some RPM. Now, the secondary sheave that is being turned by the primary sheave is suspended by bearings and rides along on a shaft of its own. With so many variables at play here, is there any good way to actually know if some component with start to shake or whip about? Or, is it more accurate to just fire that puppy off and see what happens and attach accelerometers to the frame and take data points?