When rolling steel sheet and other rolled stock, rattling occurs in certain operating states. This results in reduced quality of the rolled stock and rejects as well as damage to the rolling mill. No improvement was achieved by placing brakes on the cylinders. Electronic monitoring is not a satisfying solution. Given that rattling is a self-starting oscillation, resistance sensors are coupled to the cylinders and/or the rolled stock in order to stabilize the self-starting oscillation modes, modes with negative damping, by means of additional damping. In the example illustrated in FIG. 4, cylinder-shaped, rotating dampers are coupled to the working cylinders. Concentric or disc-shaped layers made of steel and plastic such as those found in layered oscillation absorbers are most effective and adaptable. The arrangement of the working cylinder and the damper illustrated in FIG. 4 makes it possible to suppress vertical (nullx1 direction) oscillations and the self-starting rattling oscillations in x2 and null5 direction responsible for the thickness and form waves caused by rattling in the rolled stock.