How can I stop the bass from shaking my house?
Unfortunately, there aren't easy and/or cheap ways to weigh down the paneling or ceiling.

I'm going to suspect that a healthy majority of the rattle is not from the sound vibrations in the air, but from the physical motion/vibration transferring from the woofer through the shelf, to the  floor, wall, and ceiling. Isolating the woofers on something like memory foam or similar to isolate to vibrations may somewhat lessen the transfer.

Unfortunately, all loud sound systems deal with this to some extent. If isolating the woofers is not enough, then reducing the hard surface areas would be the next step. Hanging framed art, tapestries, etc on the walls all helps to dampen the transfer of sound waves to the walls.