I have the same problem... It just started 5 mins ago. I restarted and everything is still shaking. Thought my ipad was possessed! Glad I'm not the only one. Please let me know apple says the problem is. In the meantime I will record video of the crazy shakes as well.
Welcome to the iPad Forums, Sharon. It's good to "see" you and I hope you enjoy your visit(s) here.
This is a two-year old thread and I doubt the member is still around to give feedback. So, may I suggest you contact Apple about your shaking screen? It may be the quickest way to get your issue resolved.
Cause, from re-reading the thread, it sounds as if this is a job for the Geniuses at the Apple store. Hopefully, they'll be able to get it sorted for you.
Oh, but have you tried a reset of the iPad? It won't change any of your settings or delete any apps, but it may help (and Apple will ask if you've tried it, anyway). To do, with apologies if you know:
RESET: Hold both the power and home buttons until the screen goes dark and the Apple logo then appears (on some iOS versions, the "slide to power off" button will appear; just ignore it). Once the logo appears, release the buttons. After a time, your homescreen will appear. Please note that it may take some time for the Apple logo to appear or for your homescreen to appear (or both). This is normal. Eventually, the homescreen will appear
Good luck and do let us know how you get on.
Marilyn