Abstract: The invention relates to a device for damping vibrations and/or controlling the flexion of an object in machining, said device comprising at least one force exchange device which could be a force applying device or a damping device. A such force applying device is for applying a force having a force component directed at right angles to the surface of the object and/or for applying a moment to the object. A damping device of this type is for absorbing vibrations from the object and is adapted to absorb a force component directed at right angles to the surface of the object or to absorb a moment from the object.

Abstract: The present invention concerns a system for fixing a cutting head to an adapter for a machine tool. The cutting head includes a first linear flange, a second linear flange substantially parallel to the first linear flange and a unit for holding a cutting bit. A holding jaw is provided for being fixed to the adapter and for engagement with at least one of the linear flanges on the cutting head, and a clamping device for clamping the at least one holding jaw between the at least one flange of the cutting head and the adapter. At least one further clamping device is connected to the adapter for engagement with the second or the linear flanges. Furthermore a cutting head and an adapter is defined.