GIGABYTE Z68X-UD4-B3 and 2 GTX580s not working

So I got this system about 6 months ago and everything was great for about two months.

The specs were as follows:
BLACK AXP970-001 BK MID TOWER
INTEL I7-2600K 3.40 GHZ 8M Cache clocked to ~4.0GHz
2x KINGSTON HYPER-X 4 GB DDR3/ 1600 MHZ
GIGABYTE Z68X-UD4-B3 INTEL Z68 SLI/CR
RAIDMAX RX-1000AE 1000 WATT
2x OVERCLOCKED EVGA NVIDIA GTX 580 1.5GB
running windows 7 64bit on a 2TB drive coupled with a 30GB SSD and intel smart response

After those first two months, the computer started crashing whenever it was bumped. The screen would go black, a low monotone note would blast through the speakers and the fans in the case would go into overdrive. Naturally, I would freak and give it a hard reset. As long as the seperate hard drive bios would "reconstruct the metadata" on the SSD, everything would start up fine.

One time, the hard drive bios did not "reconstruct the metadata", and chkdsk started running and was wiping the whole drive. So i turned off the smart response and installed windows on the 30GB SSD and used the 2TB drive as a data drive. However the computer would still crash if nudged.

I need the computer for work, so I keep using it, and in the next few weeks I'm constantly searching forums and whatnot for an answer as to what is going on. Meanwhile, the computer is getting more and more sensitive, as in footsteps near the computer will cause it to crash.

So it's the afternoon on a Monday, and I'm getting work done, and I decide to head downstairs and make some food. My dog must have gone into my room and made the computer crash, cause when I come back ten minutes later, the screen is black, the computer's fans are freaking out and my whole room smells like burnt ass.

I open up the computer, and take out the video card, which was the cause of the smell. I put in my old video cards (2x GTX 275s) and the computer runs perfectly. No more crashing. This is the build I'm currently using.

I go through customer service channels (bought through cyberpower. building my own crap next time, their customer service is awful), and they finally sent me two new GTX 580s after I sent back the burnt out ones a month ago. They were not overclocked and had one less fan on them, which is annoying because I payed for the overclocked ones, but interestingly enough, after I installed the new cards, the computer started crashing again whenever it was touched.

TL;DR vibrations cause my computer to crash when it has 2x GTX 580s in it, however it works perfectly with 2x GTX 275s. Is there something I'm screwing up here? Or is this build just incompatible with 2 GTX 580s? Would it be smart to just sell the new cards and pick up a GTX 680 or something?