This paper presents an improved milling time domain model to simulate vibratory cutting conditions at very small radial widths of cut. The improved kinematics model allows simulation of very small radial immersions. The model can predict forces, surface finish, and chatter stability, accurately accounting for non-linear effects that are difficult to model analytically. The discretized cutter and workpiece kinematics and dynamic models are used to represent the exact trochoidal motion of the cutter, and to investigate the effects of forced vibrations and changing radial immersion due to deflection and vibrations on chatter stability. Three dimensional surface finish profiles are predicted and are compared to measured results. Stability lobes generated from the time domain simulation are also shown for various cases.

1.
Kline
,
W. A.
,
DeVor
,
R. E.
, and
Shareef
,
I. A.
,
1982
, “
The Prediction of Surface Accuracy in End Milling
,”
ASME J. Eng. Ind.
,
104
, pp.
272
278
.
2.
Kline
,
W. A.
, and
DeVor
,
R. E.
,
1983
, “
The Effect of Runout on Cutting Geometry and Forces in End Milling
,”
Int. J. Mach. Tool Des. Res.
,
23
, pp.
123
140
.
3.
Ranganath
,
S.
,
Narayanan
,
K.
, and
Sutherland
,
J. W.
,
1999
, “
The Role of Flank Face Interference in Improving the Accuracy of Dynamic Force Predictions in Peripheral Milling
,”
ASME J. Manuf. Sci. Eng.
,
121
, pp.
593
599
.
4.
Tlusty
,
J.
, and
Ismail
,
F.
,
1981
, “
Basic Nonlinearity in Machining Chatter
,”
CIRP Ann.
,
30
, pp.
21
25
.
5.
Tlusty
,
J.
,
1986
, “
Dynamics of High Speed Milling
,”
ASME J. Eng. Ind.
,
108
, pp.
59
67
.
6.
Smith
,
S.
, and
Tlusty
,
J.
,
1993
, “
Efficient Simulation Programs for Chatter in Milling
,”
CIRP Ann.
,
42
, pp.
463
466
.
7.
Davies
,
M. A.
,
Pratt
,
J. R.
,
Dutterer
,
B. S.
, and
Burns
,
T. J.
,
2000
, “
The Stability of Low Immersion Milling
,”
CIRP Ann.
,
49
, pp.
37
40
.
8.
Bayly, V. B., Davies, M. A., Halley, J. E., and Pratt, J. R., 2000, “Stability Analysis of Interrupted Cutting with Finite Time in Cut,” ASME IMECE, Vol. 11, pp. 989–996.
9.
Insperger
,
T.
, and
Stepan
,
G.
,
2000
, “
Stability in the Milling Process
,”
Periodica Polytechnica Ser. Mech. Eng.
,
44
, pp.
47
57
.
10.
Montgomery
,
D.
, and
Altintas
,
Y.
,
1993
, “
Mechanisms of Cutting Force and Surface Generation in Dynamic Milling
,”
ASME J. Eng. Ind.
,
115
, pp.
245
252
.
11.
Altintas
,
Y.
, and
Lee
,
P.
,
1998
, “
Mechanics and Dynamics of Ball End Milling
,”
ASME J. Manuf. Sci. Eng.
,
120
, pp.
684
692
.
12.
Elbestawi
,
M. A.
, and
Sagherian
,
R.
,
1991
, “
Dynamic Modeling for the Prediction of Surface Errors in Milling of Thin-Walled Sections
,”
Theor. Comput. Fluid Dyn.
,
25
, pp.
215
228
.
13.
Budak
,
E.
,
Altintas
,
Y.
, and
Armarego
,
E. J. A.
,
1996
, “
Prediction of Milling Force Coefficients from orthogonal Cutting Data
,”
ASME J. Eng. Ind.
,
118
, pp.
216
223
.
14.
Cutpro © Advanced Cutting Process Simulation Software-Milling Module, 1998, Manufacturing Automation Laboratories, Inc.
15.
Campomanes, M., 1998, “Dynamics of Milling Flexible Structures,” M.A.Sc. Thesis, University of British Columbia.
16.
Budak
,
E.
, and
Altintas
,
Y.
,
1998
, “
Analytical Prediction of Chatter Stability Conditions for Multi-Degree of Systems in Milling. Part I: Modelling
,”
ASME J. Dyn. Syst., Meas., Control
,
120
, pp.
22
30
.
17.
Budak
,
E.
, and
Altintas
,
Y.
,
1998
, “
Analytical Prediction of Chatter Stability Conditions for Multi-Degree of Systems in Milling. Part II: Applications
,”
ASME J. Dyn. Syst., Meas., Control
,
120
, pp.
31
36
.
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