Machine tool with floating carrier device

Machine tool comprising:

• a machine frame:
• a carrier device which holds a tool adapted for acting on a workpiece during the machining of the workpiece;
• a holding device holding the carrier device relative to the machine frame, wherein the holding device has a through-opening through which the carrier device extends;
• a bearing device by means of which the carrier device is mounted in a floating manner within the through-opening of the holding device with displaceability in a direction of displacement along a displacement path, wherein the carrier device is suspended from the holding device via the bearing device so as to permit free movement of the carrier device in the direction of displacement, wherein the bearing device comprises a first support device and a second support device which are spaced apart from one another, each of the first support device and second support device being fixed at a first area thereof to the holding device and at a second area thereof to the carrier device, and wherein at least one of the first support device and second support device are of membrane-like configuration;
• and
• an adjusting device by means of which the position of the carrier device along the displacement path is adjustable and fixable.