An apparatus is disclosed having a plurality of cold rolling installations which each have a roll stand movable along a linear path and having at least one roll which is fixed rotatably to the roll stand, a drive connected to the roll stand and having an electric motor so adapted that the roll stand is drivable in an oscillating movement along the linear path, and a feed clamping saddle for feeding a blank. The apparatus has an electric control having at least two control outputs, wherein each control output is connected to the electric motor of the drive of a roll stand and wherein the control is so adapted that in operation of the apparatus it so controls the electric motors that they drive at least two of the roll stands with an adjustable phase displacement between the oscillating movements of the roll stands.

A pilger rolling mill with a roll stand moves linearly back and forth along a movement direction and includes a crank mechanism having a rotatably supported crankshaft with a crank pin and push rod. A first end of the push rod is pivotably fastened to the crank pin and a second end is pivotably fastened to the roll stand, so that during operation of the pilger rolling mill a rotary movement of the crankshaft is converted into an oscillating movement of the roll stand along the movement direction. A compensation shaft is rotatably supported about an axis of rotation and includes a distribution of mass that is not rotationally symmetrical relative to its axis of rotation and a counter-mass. The crankshaft and the compensation shaft are connected to one another by a transmission so that a rotation of the crankshaft leads to a rotation of the compensation shaft.