The machine comprises a rotor with a winding for cooling, which is in particular superconducting, in a winding support. A device with a composite body made of fiber-reinforced plastic is provided, for retention of the winding support within a rotor outer housing, on a torque transmitting side. The composite body is in one piece and comprises lateral pieces and a center piece, whereby the lateral pieces extend outwards in a funnel shape and the center piece is in the form of a hollow cylinder. The lateral pieces should at least partly comprises a corrugated form in the circumferential direction and are connected with a positive or friction fit by press-ring bodies with flange-like fixing pieces made from metal.
