Shacking = shaking? If so, I had a very similar issue with my Mitsubishi Diamond Pro 920 back when I lived in Columbus. The image was stable at 60 Hz, but anything higher and everything would wobble back-and-forth. I tried just about everything to resolve the problem, including moving away speakers, updating video and monitor drivers, using a different video card, trying a different power outlet, etc. Nothing worked.
Then, when I moved to Michigan and at the same time added a UPS, the problem disappeared. This leads me to believe that the problem was somehow related to electromagnetic interference from electrical lines in the walls behind my monitor (I never tried moving it to another location in the condo), or simply noisy power. If the obvious things don't fix your problem, try moving your rig to another location away from any walls in the house. If that doesn't work, you might want to see if a UPS fixes the problem.