I had a tyre deflate on me on the taxy-out, after startup in the 747.
There was a little vibration on takeoff, but nothing much more that the previous takeoff. First we really knew about it was that the tower (Shanghai) asked us as we passed through 3,000' if everthing was okay because "on takeoff your landing gear was letting out sparks and maybe fire."
Anyway, we landed the plane just fine but the other tyre let go and the debris did quite a lot of damage to the fuselage. Still didn't feel anything odd on the landing either, and probably would have taxied all the way to the bay if we didn't know - I pulled it up just off the runway, to clear it as I knew the plane would be stranded for a while.