Abstract: A floating brake disc assembly (10) has a hub member (14) and a rotor (12) mounted to the hub member for rotation therewith, the rotor being capable of moving in an axial direction of the disc relative to the hub member to a limited extent. A number of drive members (38) are rigidly attached to the rotor for engagement in corresponding cutouts (36) in the hub member, the drive members being movable in an axial direction of the disc relative to the cutouts as the rotor moves axially relative to the hub member. The axial movement of the rotor relative to the hub member is limited by corresponding stop means (26, 34a; 46, 34B) associated with the rotor and the hub member respectively. A friction means (60) is provided to resist, at least initially, axial movement of at least one of the drive members relative to its corresponding cutout. The friction means introduces a predetermined level of hysteresis into the floating disc mechanism to reduce rattle and vibration.