For rotating-tool machining, such as milling, line boring, and cylinder boring, the tool rotation causes the machining force on each tooth to rotate repetitively relative to the inertial coordinate frame. This is quite different than stationary-tool machining, such as turning or boring with a stationary boring bar, in which the force directions are fixed relative to the inertial frame. Although the subject of stability analysis for rotating tools has been studied extensively in milling, the process is intermittent and hence time varying, which leads to analysis methods that are either analytically approximate or employ time-domain simulation. In this paper nonintermittent machining processes that employ a rotating tool are modeled and analyzed in the rotational coordinates both to simplify the stability analysis and to permit an exact solution. Using rotating-bar boring to illustrate, the analytical results show that the stability limits for boring with a rotating boring bar are quite different from those for boring with a stationary boring bar, and the experimental validation is also provided. Furthermore, the results show a discrepancy to exist between the predicted stability limits for the exact and approximate solutions, especially at low spindle speeds. In both cases an explanation is provided based on the analysis presented.

1.
Sweeney, G., and Tobias, S. A., 1963, “An Algebraic Method for the Determination the Dynamic Stability of Machine Tools,” Proc., Int. Prod. Engg. Res. Conf., Pittsburgh, pp. 475–485.
2.
Tlusty, J., and Polacek, M., 1963, “The Stability of the Machine Tool Against Self-Excited Vibration in Machining,” Proc., Int. Prod. Engg. Res. Conf., Pittsburgh, pp. 454–465.
3.
Merritt
,
H. E.
,
1965
, “
Theory of Self-Excited Machine-Tool Chatter
,”
ASME J. Eng. Ind.
,
87
, pp.
447
454
.
4.
Parker
,
E. W.
,
1970
, “
Dynamic Stability of a Cantilever Boring Bar with Machined Flats Under Regenerative Cutting Conditions
,”
J. Mech. Eng. Sci.
,
12
, pp.
104
115
.
5.
Zhang
,
G. M.
, and
Kapoor
,
S. G.
,
1987
, “
Dynamic Modeling and Analysis of the Boring Machining System
,”
ASME J. Eng. Ind.
,
109
, pp.
219
226
.
6.
Tewani, S. G., Switzer, T. C., Walcott, B. L., Rouch, K. E., and Massa, T. R., 1993, “Active Control of Machine Tool Chatter for a Boring Bar: Experimental Result,” Vibration and Control of Mechanical Systems, ASME, DE-Vol. 61, pp. 103–115.
7.
Tanaka
,
H.
,
Obata
,
F.
,
Matsubara
,
T.
, and
Mizumoto
,
H.
,
1994
, “
Active Chatter Suppression of Slender Boring Bar Using Piezoelectric Actuators
,”
JSME Int. J., Ser. C
,
37
(
3
), pp.
601
606
.
8.
Wong, B. W., Walcott, B. L., and Rouch, K. E., 1995, “Active Vibration Control Via Electromagnetic Dynamic Absorbers,” Proc., IEEE Conf. on Control Applications, pp. 868–874.
9.
Chen
,
S. G.
,
Ulsoy
,
A. G.
, and
Koren
,
Y.
,
1997
, “
Computational Stability Analysis of Chatter in Turning
,”
ASME J. Manuf. Sci. Eng.
,
119
(
4
), pp.
457
460
.
10.
Chen
,
C. H.
, and
Wang
,
K. W.
,
1994
, “
An integrated Approach Toward the Dynamic Analysis of High-Speed Spindles Part 2: Dynamics Under Moving End Load
,”
ASME J. Vibr. Acoust.
,
116
, pp.
506
513
.
11.
Sridhar
,
R.
,
Hohn
,
R. E.
, and
Long
,
G. W.
,
1968
, “
A General Formulation of the Milling Process Equation—Contribution to Machine Tool Chatter Research—5
,”
ASME J. Eng. Ind.
,
pp.
317
324
.
12.
Sridhar
,
R.
,
Hohn
,
R. E.
, and
Long
,
G. W.
,
1968
, “
A Stability Algorithm for the General Milling Process—Contribution to Machine Tool Chatter Research—7
,”
ASME J. Eng. Ind.
,
pp.
330
334
.
13.
Tlusty
,
J.
, and
Ismail
,
F.
,
1981
, “
Basic Non-Linearity in Machining Chatter
,”
CIRP Ann.
,
30
(
1
), pp.
299
304
.
14.
Minis
,
I.
, and
Yanushevsky
,
R.
,
1993
, “
A New Theoretical Approach for the Prediction of Machine Tool Chatter in Milling
,”
ASME J. Eng. Ind.
,
115
, pp.
1
8
.
15.
Altintas
,
Y.
, and
Budak
,
E.
,
1995
, “
Analytical Prediction of Stability Lobes in Milling
,”
CIRP Ann.
,
44
(
1
), pp.
357
62
.
16.
Merchant
,
M. E.
,
1944
, “
Basic Mechanics of Metal Cutting Processes
,”
J. Appl. Phys.
,
11
, pp.
168
175
.
17.
Endres
,
W. J.
, and
Ozdoganlar
,
O. B.
,
2001
, “
The Existence and Effects of Overlap Factors Greater than Unity and Less than Zero
,”
Trans. of NAMRI/SME
,
29
, pp.
159
166
.
18.
Jensen
,
A. S.
, and
Shin
,
Y.-C.
,
1999
, “
Stability Analysis in Face Milling Operations, Part 1: Theory of Stability Lobe Prediction
,”
ASME J. Manuf. Sci. Eng.
,
121
(
4
), pp.
600
605
.
19.
Li, C.-J., 1999, “Tool-tip Displacement Measurement, Process Modeling, and Chatter Avoidance in Agile Precision Line Boring,” Ph.D. Thesis, University of Michigan, Ann Arbor, MI.
20.
Endres
,
W. J.
,
1996
, “
A Quantitative Energy-Based Method for Predicting Stability Limit as a Direct Function of Spindle Speed for High-Speed Machining
,”
Trans. of NAMRI/SME
,
24
, pp.
27
32
.
21.
Tlusty, J., 1985, “Machine Dynamics,” Handbook of High Speed Machining Technology, R. I. King, eds., Chapman and Hall, New York, pp. 48–153.
22.
Metzler, S. A., Bayly, P. V., Young, K. A., and Halley, J. E., 1999, “Analysis and Simulation of Radial Chatter in Drilling and Reaming,” Proceedings of DETC99: 1999 ASME Design Engineering Technical Conferences, Paper# DETC99/VIB8059, pp. 1–9.
23.
Li, C.-J., Ulsoy, A. G., and Endres, W., 1998, “The Effect Of Tool Rotation on Regenerative Chatter In Line Boring,” Proc., Symp. on Dynamics, Acoustics, and Simulations, ASME IMECE, DE-Vol. 98, pp. 235–243.
24.
Altintas, Y., Shamoto, E., Lee, P., and Budak, E., 1997, “Analytical Prediction of Stability Lobes in Ball End Milling,” The Phys. of Mach. Proc,—III, pp. 151–167.
25.
Ozdoganlar
,
O. B.
, and
Endres
,
W. J.
,
2000
, “
An Analytical Representation of Chip Area for Corner-Radiused Tools Under Both Depth-of-cut and Feed Variation
,”
ASME J. Manuf. Sci. Eng.
,
122
(
4
), pp.
660
665
.
26.
Zhang, G., 1986, “Dynamic Modeling and Dynamic Analysis of the Boring Machining System,” Ph.D. dissertation, University of Illinois, Urbana-Champaign, IL.
27.
Ehmann
,
K. F.
,
Kapoor
,
S. G.
,
DeVor
,
R. E.
, and
Lazoglu
,
I.
,
1997
, “
Machining Process Modeling: A Review
,”
ASME J. Manuf. Sci. Eng.
,
119
, pp.
655
663
.
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