Clamping device for clamping an article, in particular a workpiece to be balanced, with a clamping means for clamping the article, wherein the clamping means has an adjusting means, by means of which the clamping diameter (d) of a clamping body (27; 138; 155) of the clamping means can be adjusted, wherein, by adjusting the clamping diameter (d), an article, in particular placed on at least one placement surface, can be clamped, wherein the clamping body (27; 138; 155) has a disc-shaped spring element, which is sprung in the radial direction (r) and has a centrally arranged clearance, which forms at least one first spring element cone, wherein the clamping body (27; 138; 155) has a clamping element, which is inserted into the clearance of the spring element and has at least one first clamping element cone corresponding to the first spring element cone, and wherein the adjusting means has an actuating means, by means of which the clamping element is displaceable in relation to the spring element, in the axial direction (x) of the clamping disc, in such a way that first cone surfaces of the first clamping element cone and of the first spring element cone move in relation to one another, and consequently the spring element can be clamped and/or unclamped in the radial direction (r) under the effect of the cone surfaces, characterized in that the clearance of the spring element forms a second spring element cone and in that the clamping element has a second clamping element cone corresponding to the second spring element cone, which respectively have corresponding second cone surfaces, in that the clamping element and the spring element form an assembly unit, which can be arranged in a first rotary position, in which a first main surface wall of the spring element is in engagement with a defined engagement wall region, and which can be arranged in a second rotary position, turned by 180°, in which a second main surface wall of the spring element is in engagement with the defined engagement wall region, wherein the actuating means has an actuating element, which can be displaced between a starting position and an end position and can be coupled to the clamping element of the clamping body in such a way that, when there is a displacement between the starting position and the end position, the actuating element also displaces the clamping element, and wherein, for the case where the assembly unit is arranged in the second rotary position, the spring element can be pressed open radially outwardly by displacement of the actuating element coupled to the clamping element from the end position into the starting position under the effect of the second cone surfaces, and wherein, for the case where the assembly unit is fixed in the first rotary position, the spring element can be drawn together radially inwardly by displacement of the actuating element coupled to the clamping element from the end position into the starting position under the effect of the first cone surfaces. wherein the clamping body (27; 138; 155) has a clamping element, which is inserted into the clearance of the spring element and has at least one first clamping element cone corresponding to the first spring element cone, and wherein the adjusting means has an actuating means, by means of which the clamping element is displaceable in relation to the spring element, in the axial direction (x) of the clamping disc, in such a way that first cone surfaces of the first clamping element cone and of the first spring element cone move in relation to one another, and consequently the spring element can be clamped and/or unclamped in the radial direction (r) under the effect of the cone surfaces, characterized in that the clearance of the spring element forms a second spring element cone and in that the clamping element has a second clamping element cone corresponding to the second spring element cone, which respectively have corresponding second cone surfaces, in that the clamping element and the spring element form an assembly unit, which can be arranged in a first rotary position, in which a first main surface wall of the spring element is in engagement with a defined engagement wall region, and which can be arranged in a second rotary position, turned by 180°, in which a second main surface wall of the spring element is in engagement with the defined engagement wall region, wherein the actuating means has an actuating element, which can be displaced between a starting position and an end position and can be coupled to the clamping element of the clamping body in such a way that, when there is a displacement between the starting position and the end position, the actuating element also displaces the clamping element, and wherein, for the case where the assembly unit is arranged in the second rotary position, the spring element can be pressed open radially outwardly by displacement of the actuating element coupled to the clamping element from the end position into the starting position under the effect of the second cone surfaces, and wherein, for the case where the assembly unit is fixed in the first rotary position, the spring element can be drawn together radially inwardly by displacement of the actuating element coupled to the clamping element from the end position into the starting position under the effect of the first cone surfaces.