A vibration felt through the center floor of the vehicle can be caused by driveshaft flex discs, which crack and shred, causing excessive driveshaft movement. Not repairing these can cause damage to the driveshaft center support bearing, or, in the worst case scenario, damage to the transmission or differential.
Car Problem Reports
Mercedes-Benz E63 AMG Cracked Driveshaft Flex Discs May Cause Driveshaft Movement/Vibration
Mercedes-Benz E63 AMG Problem
Visitor, 2007 Mercedes-Benz E63 AMG, 52,000 mi
vibration noticed between 1-2k rpm. dealer saiad was motor mounts. replaced motor mounts but problem still exist