These are great. I swear by 'em. They're soft, malleable, thin silica gel gaskets that fit between your fan and case (they also make 'em for PSUs). I used them with my fans & PSU on my self-built rig and have never had any vibration or resonance probs (and it's an aluminum case).
Depending on how old your resonating fan is, it might just be wearing out to the point that the hub is vibrating and causing the resonance noise (particularly if it's a cheapy sleeve-bearing fan). Either way, using one of those gaskets or getting a new fan should be a quick & inexpensive fix.
That rope that Zep mentioned is an interesting idea too for general panel resonances. I'll have to file that away for future reference.
Ken