not heard of this. Try removing battery (underneath front left) - remove mains adapter - hold power down 20 secs then let go.
PLug in the mains - leave the battery out though do you still get the 2 beeps and off ?
This is a monster to strip down (ac adapter alone weighs a ton!) any warranty left on the unit ?
check warranty status here: http://support.ts.fujitsu.com/warranty/index.asp?