Hi there,
I take Mobic, and no it doesn't keep me awake, and I don't even think that is a side affect? Anyway, it was the only one that worked that did not upset my stomach, after trying various types of NSAIDS. I really like the Mobic and I take it along with Plaquenil. Actually, it makes me a bit sleepy, and my dose it 7.5 twice daily, but I take it all at once.
How long have you been taking the Mobic? I'm sorry I am not familiar with Ultram.