Have you tried to flash the BIOS to the latest version?
If you open the bottom cover do you notice any part that could be lose maybe?
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Hi i presume this is an old post but i have the same issue. I have tried the solution that was put up and i still have the same issue. IT's not even when i am running an intensive application(it happened today while running excel is power saver mode). I have the current bios update for the motherboard, battery , and cpu or whatever. I found that in the post about this issue. I am not a super large fan of bios updates but this is becoming unbearably to be afraid to unplug my laptop for gods sake it is a laptop it is meant to be portable not corded. I am sorry for this but it sucks. I please hope to an answer to this issue soon. About the back i had had a screw fall of the back plate but i fixed it. I have been into it once for this issue. Unplugging draining power then charging( told the first thing to do in case of this issue. Nothing lose inside the machine. I have run a myriad of system checks to make sure everything is fine with my laptop and it is.
I have a similar problem, however it is only happening if i carry the laptop (open) with my left hand in the corner below keyboard and left of trackpad. I assume it is causing the case to flex. If I carry with equal weight on the left and right it does not die.