The paper presents an analytical method to predict stability lobes in ball end milling. Analytical expressions are based on the dynamics of ball end milling with regeneration in the uncut chip thickness, time varying directional factors and the interaction with the machine tool structure. The cutting force coefficients are derived from orthogonal cutting data base using oblique transformation method. The influence of cutting coefficients on the stability is investigated. A computationally efficient, an equivalent average cutting force coefficient method is developed for ball end milling. The prediction of stability lobes for ball end milling is reduced to the solution of a simple quadratic equation. The analytical results agree well with the experiments and the computationally expensive and complex numerical time domain simulations.

Issue Section:
Research Papers
Topics:
Milling, Stability, Cutting, Databases, Dynamics (Mechanics), Machine tools, Simulation
1.
Altintas
Y.
, and
Budak
E.
,
1995
, “
Analytical Prediction of Stability Lobes in Milling
,”
Annals of the CIRP
, Vol.
44
, No.
1
, pp.
357
–
362
.
2.
Altintas, Y., and Lee, P., 1995, “Mechanics and Dynamics of Ball End Milling,” ASME JOURNAL OF MANUFACTURING SCIENCE AND ENGINEERING.
3.
Budak
E.
,
Altintas
Y.
, and
Armarego
E. J. A.
,
1996
, “
Prediction of Milling Force Coefficients from Orthogonal Cutting Data
,”
ASME JOURNAL OF MANUFACTURING SCIENCE AND ENGINEERING
, Vol.
118
, pp.
216
–
224
.
4.
Budak, E., and Altintas, Y., 1995, “Analytical Prediction of Chatter Stability in Milling Part I: General Formulation, Part II: Applications,” ASME Journal of Dynamic Systems, Measurement and Control.
5.
Merrit
H. E.
,
1965
, “
Theory of Self-Excited Machine Tool Chatter
,”
ASME JOURNAL OF ENGINEERING FOR INDUSTRY
, Vol.
87
, pp.
447
–
454
.
6.
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
.
7.
Lazoglu, I., and Liang, S. Y., “Analysis of Force System in Ball-End Milling,” 1995, ASME Publication MED-Vol. 2–1, pp. 179–187.
8.
Lim
E. M.
, and
Meng
C.
,
1995
, “
The Prediction of Dimensional Errors for Machining Sculptured Surfaces Using Ball-end Milling
,”
Int. J. Mach. Tools and Manufact.
, Vol.
35
, No.
8
, pp.
1149
–
1185
.
9.
Tobias, S. A., 1965, Machine Tool Vibration, Blackie and Sons Ltd.
10.
Smith
S.
, and
Tlusty
J.
,
1993
, “
Efficient Simulation Programs for Chatter in Milling
,”
Annals of the CIRP
, Vol.
30
, pp.
21
–
25
.
11.
Sridhar
R.
,
Hohn
R. E.
, and
Long
G. W.
,
1968
, “
A Stability Algorithm for the General Milling Process
,”
ASME JOURNAL OF ENGINEERING FOR INDUSTRY
, Vol.
90
, pp.
330
–
334
.
12.
Yang
M.
, and
Park
H.
,
1991
, “
The Prediction of Cutting Force in Ball End Milling
,”
Int. J. Mach. Tools Manufact.
, Vol.
31
, No.
1
, pp.
45
–
54
.
13.
Yucesan
G.
, and
Altintas
Y.
,
1996
, “
Mechanics of Ball End Milling Process
,”
ASME JOURNAL OF ENGINEERING FOR INDUSTRY
, Vol.
118
, pp.
95
–
103
.
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