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Regenerative Stability Analysis of Highly Interrupted Machining
Published
Author(s)
Matthew A. Davies, Jon R. Pratt, Brian S. Dutterer, Timothy J. Burns
Abstract
We discuss theoretical and experimental work that supports the use of very low radia immersion in the high-speed milling of difficult-to-machine materials, such as titanium alloys. Our theory is based upon modeling the cutting process by a kicked harmonic oscillator with delay. Traditional regenerative chatter theory predicts that, for a single degree of freedom system, the most stable speeds are at integral multiples of the natural frequency of the system. The new theory predicts a set of stable speeds at fractions of the damped natural frequency. For small damping, a subset of these stable speeds is approximately the same as predicted by the traditional theory. From a practical point of view, the most important prediction of our new theory is that the number of optimally stable speeds doubles as the ratio p of time per revolution of tool contact with the material to the spindle period becomes small, i.e., p
Proceedings Title
International Conference on Metal Cutting and High Speed Machining | 3rd| Metal Cutting and High Speed Machining | Kluwer
Davies, M.
, Pratt, J.
, Dutterer, B.
and Burns, T.
(2002),
Regenerative Stability Analysis of Highly Interrupted Machining, International Conference on Metal Cutting and High Speed Machining | 3rd| Metal Cutting and High Speed Machining | Kluwer, Metz, FR
(Accessed October 8, 2025)