Yep! Me too!
Black screen of death on my iPad, and visions of many dollars siphoning off my bank balance into Apple's hands. No combination of buttons worked, no matter how long they were pressed. I put it on its back and whacked it a few times. No joy. Put it on its front and slapped it around a few times to teach it a lesson it wouldn't forget. Nup! Dropped it onto carpet from half a metre onto its back. Bingo! Colours were… a bit wrong, but it was a start. Dropped it again onto its back from half a metre onto carpet. Fixed it.
I am not overly confident as to the permanency of the fix. And it should NOT happen. But the drop test worked.
Many thanks to all who have posted. Forums like these make the world work. …and iPads as well.