I just moved to a new house, and after setting up my washing machine it now shakes a lot while running, like it moves itself 3 or 4 inches sometimes. It seems to really shake for a 5-15 seconds then runs normal for a while. No real discernible pattern.
I’ve already tried leveling it and making sure the feet all hold some weight, but it’s still happening. It’s an older style top loader with an agitator.
You might want to also replace the springs that hold the drum center. They may have weakened.