My Tungsten T3, from time to time, turns itself off

My Tungsten T3, from time to time, turns itself off within 2-10 seconds after I turn it on. The delay is random; the problem is random (it doesn't do it for weeks, and then it apparently goes into a snit about something and withdraws from the real world as described. I never buy it flowers).

Seriously, it really does do this, and I wonder if anyone else has had this problem, and how they've fixed it. It is possible that the internal battery plug is not as tight as it should be, or that there is something adrift inside (all PDAs are subjected to shocks from time to time). Your opinions?