If it's an actual rattle, it could be something loose, either in the combo (loose wire, loose screw holding in the woofer/grill/whatever) or in the room (you'd be surprised how frequently this can turn out to be the case).
If the distortion is more of a paper-y, buzzy sound, you've got a few possibilities as well. One is a blown/damaged piezo tweeter. Could also be a damaged woofer. Could be an air leak. Could be something intermittent in the amp -- a dirty jack or effects loop or a cold/cracked solder joint.
My CMD 121P started making a papery/buzzy sound, intermittently, some time back. Took it to a tech, no joy. Replaced the piezo tweeter with a Monacor HF driver (there's a thread on this mod somewhere) which improved the tone (worthwhile mod, IMO), but didn't get rid of the intermittent buzzy sound. I tried several things, including different cables, instruments, cleaning/jumping the effects loop, etc. Eventually, I tried running the combo cab with other heads (the speaker cable is a short pigtail, so I had to set the other amp right by it on the floor) and the buzz was gone. Tried running other cabs off the combo head and the buzz/cutting out was there.
That didn't tell me, definitively, what the problem was, but it eliminated the cab as the cause -- it's something electrical, in the head.
I also tried recording from the DI -- don't think that there was any issue with the signal there, which, again, doesn't tell definitively what it is, but helps narrow down what it's not.
Good luck!