STABILITY ANALYSIS OF CUTTING UNDER VARYING SPINDLE SPEED.

Abstract

Suppression of chatter in cutting by varying the spindle speed is analyzed based on the function space theory. The stiffness transfer functions of both the machine-tool structure and the cutting process are represented by the linear operators in Hilbert space and the stability problem of the cutting system is solved as the eigenvalue problem of these operators. It is proved that the stability limit with varying spindle speed is always higher than that with a constant spindle speed under any cutting condition. The analytical results show that the increase of either the amplitude or frequency of spindle speed variation improves considerably the stability of the system.