When a system Blue Screens it means Windows is protecting your system. What error code do the Blue Screens show? It will be an 0x followed by more numbers. Also the Blue Screen will often show a driver as a possible cause such as nvmmkm.dll or some such information.
Also, what are you doing when it Blue Screens, I.e. anything in particular or is it random? Are you using a cooling pad? Heat will shut a system down fast. Are your vents clear of dust?