Abstract: A tailstock for a turning machine has a housing portion adapted to be moved and clamped on the machine base, and the housing portion supports a beam portion which extends outwardly from the housing portion. The beam portion is nonsymmetrical, and of generally rectangular cross-section wherein its neutral axis is coincident with the center axis. Thus, the nonsymmetry of the center support has principle modes of compliance which are dissimilar and these modes, when added to the compliance of a cylindrical workpiece, tend to increase the dynamic stability of the tailstock end of the workpiece.

Abstract: A facial relief and seal creates a closed damping chamber between the spindle end face and adjacent tool support plate. A plurality of tools are located on the face plate near the outer periphery. In one embodiment, a viscous medium, such as oil, is provided in the damping chamber. In an alternate embodiment, a visco-elastic material, such as PVC, is provided in the damping chamber. Relative movement between the spindle end face and the tool support plate will cause vibration damping.