Abstract: A method of manufacturing a body with a surface of revolution at one end co-axial with an axis of the body in which the body is mounted on a rotatable shaft with the body axis coaxial with the shaft axis, such shaft being movable by a limited amount transversely to its axis, the shaft with the body thereon is rotated and any transverse movement of the body relative to its axis is measured as material is removed from the end of body to form the surface. Mechanical compensating forces determined by the transverse movement measurements are applied to the shaft to substantially prevent such transverse movement.

Abstract: An apparatus for manufacturing a body provided at one end with a surface of revolution. The axis of the apparatus is aligned with a predetermined longitudinal axis of the body. The apparatus including a mechanism for the compensation of the oscillations of the free end of the body. The apparatus is disposed around an assembly comprising a mandrel at the end of a flexible rotatable shaft, the mechanism including a bearing surrounding a component of the assembly. A plurality of means generating oscillating mechanical forces against the bearing means are guided by signals derived from rotation of the shaft to provide phase and amplitude synchronization and compensation of the oscillations of the free end of the body.