The general formulation for the milling chatter prediction developed in Part I of the paper is applied to common milling systems. Three cases are considered: a workpiece with single-degree-of-freedom, a face milling cutter with two-degree-of-freedom, and peripheral milling of a cantilevered thin web. The general milling stability formulation is further simplified for the less complicated models. For each case, an analytical expression which explicitly relate the chatter limit to the milling conditions and tool-workpiece dynamics are derived. The analytical predictions are compared with numerical and time domain solutions proposed 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.

1.
Alter
D. M.
, and
Tsao
T. C.
,
1994
, “
Stability of Turning Processes with Actively Controlled Linear Motor Feed Drives
,”
ASME Journal of Engineering for Industry
, Vol.
116
, pp.
298
307
.
2.
Altintas
Y.
,
Montgomery
D.
, and
Budak
E.
,
1992
, “
Dynamic Peripheral Milling of Flexible Structures
,”
ASME Journal of Engineering for Industry
, Vol.
114
(
2
), pp.
137
145
.
3.
Budak, E., and Altintas, Y., “Analytical Prediction of Chatter Stability in Milling—Part I: General Formulation,” published in this issue pp. 22–30.
4.
Budak
E.
, and
Altintas
Y.
,
1994
a, “
Modeling and Avoidance of Static Deformations in Peripheral Milling of Plates
,”
International Journal of Machine Tools and Manufacture
, Vol.
34
(
3
), pp.
459
476
.
5.
Budak
E.
, and
Altintas
Y.
,
1994
b, “
Peripheral Milling Conditions for Improved Dimensional Accuracy
,”
International Journal of Machine Tools and Manufacture
, Vol.
34
(
7
), pp.
907
918
.
6.
Koenigsberger, F., and Tlusty, J., 1967, Machine Tool Structures—Vol. I: Stability Against Chatter, Pergamon Press.
7.
Minis
I.
,
Magrab
E. B.
, and
Pandelidis
I. O
,
1990
, “
Improved Methods for the Prediction of Chatter in Turning. Part 3: A Generalized Linear Theory
,”
ASME Journal of Engineering for Industry
, Vol.
112
, pp.
28
35
.
8.
Minis
I.
and
Yanushevsky
T.
,
1993
, “
A New Theoretical Approach for the Prediction of Machine Tool Chatter in Milling
,”
ASME Journal of Engineering for Industry
, Vol.
115
, pp.
1
8
.
9.
Opitz, H., 1968, “Chatter Behavior of Heavy Machine Tools,” Quarterly Technical Report No. 2 AF 61 (052)-916, Research and Technology Division, Wright-Patterson Air Force Base, OH.
10.
Smith
S.
, and
Tlusty
J.
,
1990
, “
Update on High Speed Milling Dynamics
,”
ASME Journal of Engineering Industry
, Vol.
112
, pp.
142
149
.
11.
Smith
S.
, and
Delio
,
1989
, “
Sensor-Based Control for Chatter-Free Milling by Spindle Speed Selection
,”
Proceedings of the ASME 1989 Winter Annual Meeting
, Vol.
18
, pp.
107
114
.
12.
Sridhar, R., Hohn, R. E., and Long, G. W., 1968a, “General Formulation of the Milling Process Equation,” ASME Journal of Engineering for Industry, pp. 317–324.
13.
Sridhar, R., Hohn, R. E., and Long, G. W., 1968b, “A Stability Algorithm for the General Milling Process,” ASME Journal of Engineering for Industry, pp. 330–334.
14.
Weck
M.
,
Altintas
Y.
and
Beer
C.
,
1994
, “
CAD Assisted Chatter Free NC Tool Path Generation in Milling
,”
International Journal of Machine Tool Design and Research
, Vol.
34
(
6
), pp.
879
891
.
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