CRT stands for Cathode Ray Tube.
The ray is basically a photon and electron beam fired from a electron gun near the back of the tv towards the screen.
This beam can be affect in 2 main ways.
1. Magnetic interference.
The beam is aimed at the pixels on the screen using a magnetic field. With large magnets (unshielded speakers) nearby, this field can be messed up and can cause discoloration of the image, and a constant waving affect.
2. Vibration
The electron gun is also sensitive to vibration. This would cause shaking corresponding to a specific impact from a subwoofer.
Both of these can cause permanent damage to a TV and both can be fixed by moving your subwoofer farther away.
It sounds to me like you are dealing with the second one.
You can try adding some dampening material to the subwoofer
and ensuring that the subwoofer is not directly touching the tv stand and adding isolation spikes to the bottom of the subwoofer.