ANALYTICAL PREDICTION OF CHATTER STABILITY IN MILLING - PART II - APPLICATION OF THE GENERAL FORMULATION TO COMMON MILLING SYSTEMS

The general formulation for the milling chatter prediction developed i n Part 1 of the paper is applied to common milling systems. Three case s are considered: a workpiece with single-degree-of-freedom, a face mi lling cutter with two-degree-of-freedom, and peripheral milling of a c antilevered thin web. The general milling stability formulation is fur ther simplified for the less complicated models. For each case, an ana lytical expression which explicitly relate the chatter limit to the mi lling conditions and tool-workpiece dynamics are derived. The analytic al predictions are compared with numerical and time domain solutions p roposed by previous research. It is shown that the proposed method can accurately predict the chatter limits in milling and thus eliminates the time consuming numerical solutions.