Abstract: For operating on a laminar material (3) having a reference speed VR, it is provided a device comprising: a rotating body (6) with a rotation speed &ohgr;, a guide member (5) in engagement with the rotating body (6) and movable along a circumferential trajectory (7) having a work stretch (7a), the guide member (5) in the circumferential trajectory (7) having a tangential speed T with a work component TL parallel to the laminar material (3), and drive means (9) adapted to selectively vary the tangential speed T of the guide member (5) and the reference speed VR of the laminar material (3) so as to impose a work component TL and a reference speed VR equal to each other at the work stretch (7a).