to give you guys who haven't seen it an idea of what we are talking about, here is a vid of taking a steel plate though its natural freqs. now they are racing though each band, but notice when they are changing freqs the plate just sits there and doesn't react until they dial in the freq. Hitting a natural freq even if it doesn't destroy it it puts a lot of stress on it.
https://www.youtube.com/watch?v=1yaqUI4b974
Here is one of a Chinook that hit on of the systems natural frequencies. There isn't someone in there messing with the controls to do this, everything is locked in position they just brought it up to a ground resonance and it got away from them.
https://www.youtube.com/watch?v=-LFLV47VAbI
Ok one more, slow motion of what is going on. Now remember this is just a tiny vibrator (yes it is called a vibrator) that is exciting the steel. I wish I could find a video of taking a structure up and down freq ranges. It does nothing between its natural frequencies, just sits there and shakes. Until you hit a natural freq then you can rip apart anything. And each part has different natural freqs, and they all interact with each other.
https://www.youtube.com/watch?v=uBZqa851uvw
Ok Ill stop now. Hope this makes some of the new guys understand what is being talked about here. And remember, what is going on in the engine is much more complex than a single bar experiment