A rotary cutting apparatus, comprising - a frame; - a first rotary device, such as a rotary cutter or a rotary anvil, comprising a first shaft (10 or 24) concentrically arranged about a first rotational axis (A-A or B-B) and a first drum (12 or 26), such as an anvil drum or a cutter drum concentrically arranged on said first shaft; - a second rotary device comprising a second shaft (10 or 24) concentrically arranged about a second rotational axis (A-A or B-B), and a second drum (12 or 26), such as an anvil drum or a cutter drum concentrically arranged on said shaft (10 or 24); - means is provided for passive vibration attenuation of at least said first shaft (10 or 24), said means being able to reduce vibrations due to impacts of the first drum (12 or 26) in relation to said second drum (12 or 26); wherein - said first and second rotary devices being arranged in said frame in such a way that said first and second axes (A-A, B-B) are substantially horizontal and substantially in the same vertical plane; characterised in that - said first shaft (10 or 24) being provided with a first pair of bearing housings (14 or 30) arranged on either sides of said first drum (12 or 26); - said second shaft being provided with a second pair of bearing housings (14 or 30) arranged on either sides of said second drum (12 of 26); - said second shaft (10 or 24) being connected to the frame via said second pair of bearing housings (14 or 30); - said first shaft (10 or 24) being associated with said frame via said first pair of bearing housing (14 or 30), said first pair of bearing housings being movable relative to said frame in a transverse direction to said first rotation axis (A-A or B-B) by means of a force means; - said first pair of bearing housings (14 or 30) are connected to an intermediate piece slidingly arranged in relation to said frame via at least one guide member, wherein said force means comprises a pneumatic or hydraulic cylinder for pressing the first drum (12 or 26) via said intermediate piece towards said second drum (12 or 26) such that they come into a cutting relationship with one another, and at least one spring means for applying a force counter directed to that of the pneumatic cylinder; and in that - said means for vibration attenuation comprising at least one elastomeric member. - a frame; - a first rotary device, such as a rotary cutter or a rotary anvil, comprising a first shaft (10 or 24) concentrically arranged about a first rotational axis (A-A or B-B) and a first drum (12 or 26), such as an anvil drum or a cutter drum concentrically arranged on said first shaft; - a second rotary device comprising a second shaft (10 or 24) concentrically arranged about a second rotational axis (A-A or B-B), and a second drum (12 or 26), such as an anvil drum or a cutter drum concentrically arranged on said shaft (10 or 24); - means is provided for passive vibration attenuation of at least said first shaft (10 or 24), said means being able to reduce vibrations due to impacts of the first drum (12 or 26) in relation to said second drum (12 or 26); wherein - said first and second rotary devices being arranged in said frame in such a way that said first and second axes (A-A, B-B) are substantially horizontal and substantially in the same vertical plane; characterised in that - said first shaft (10 or 24) being provided with a first pair of bearing housings (14 or 30) arranged on either sides of said first drum (12 or 26); - said second shaft being provided with a second pair of bearing housings (14 or 30) arranged on either sides of said second drum (12 of 26); - said second shaft (10 or 24) being connected to the frame via said second pair of bearing housings (14 or 30); - said first shaft (10 or 24) being associated with said frame via said first pair of bearing housing (14 or 30), said first pair of bearing housings being movable relative to said frame in a transverse direction to said first rotation axis (A-A or B-B) by means of a force means; - said first pair of bearing housings (14 or 30) are connected to an intermediate piece slidingly arranged in relation to said frame via at least one guide member, wherein said force means comprises a pneumatic or hydraulic cylinder for pressing the first drum (12 or 26) via said intermediate piece towards said second drum (12 or 26) such that they come into a cutting relationship with one another, and at least one spring means for applying a force counter directed to that of the pneumatic cylinder; and in that - said means for vibration attenuation comprising at least one elastomeric member.