Vibrations of a cylinder, which is a part of a web-processing machine, and particularly a printing machine, are dampened. A functional correlation is determined for a course of a force of a channel passage through a nip point defined by the cylinder and a second cylinder. The functional correlation is pre-defined up to a scaling factor determining the height as a time course for an actuator force time course and is stored in a control or a regulating device. The vibration, or an amplitude of the vibration is measured during the operation of at least part of the cylinder by the use of a sensor. A maximum vibration amplitude on the roll body of the cylinder is then calculated from the measuring value. The actuators are controlled by the control or regulating device according to the pre-defined actuator force time course.