S-class vibrates in stand

Hello, maybe someone can help me here. I drive an S-Class, year 2004, for half a year the car vibrates – but only in cold condition and only in D-position. As soon as the car has run warm- the noise/vibration is gone. I had the engine bearings changed, engine check was also made – everything was possible. Also on the gearbox there were no errors to find. MB says it could be that the cat is clogged and a new one has to be installed. But why does the car vibrate? I would be very grateful if someone could help me further. P.S. :is it true that a new cat incl. installation costs 4000€? L.G. from Berlin Delfin1812