A flexible sheath (14) of plastics sheeting filled with granular material can be filled with air and emptied. The object is fixed onto the supporting body (10) by means of a suction device (46). The supporting body and the suction device are attachable to the same vacuum source. The suction device is formed by at least one sleeve-wall part (16) belonging to the supporting body and containing suction ducts consisting of vacuum grippers in the sheath wall.
