Stochastic Stability of Variable Speed Machining

This talk will address the suppression of machine tool chatter in machining processes. The mathematical models representing chatter dynamics have been cast as differential equations with delay. Chatter manifests itself as a vibration between workpiece and cutting tool, leading to poor dimensional accuracy and surface finish of the workpiece.

A chatter suppression method that has received attention in recent years is the variable speed machining, whereby greater widths of cut are achieved by modulating the spindle speed continuously. A natural way to account for inevitable changes in tool dynamic characteristics and operational changes would be to consider time-dependent spindle speed variations.

This talk will present a novel chatter suppression methodology where the spindle speed is varied in a periodic/random manner.