Hi,
You're saying that your Amiga recognizes your CD drive, but then after 1-3 warm resets it no longer sees it? Does it have the same problem if you do a cold boot? You have your startup sequence set correctly to mount all devices in Devs/Dosdrivers, including CD0? Is it only that the icons are disappearing, ie. if you go to a shell window and type cd cd0: can you still access the drive?
Please post again with more details of your problem.
Good luck,
Mike