Prediction of stable cutting regions is a critical requirement for high-speed milling operations. These predictions are generally made using frequency-response measurements of the tool-holder-spindle set obtained from a nonrotating spindle. However, significant changes in system dynamics occur during high-speed rotation. In this paper, a dynamic high-speed spindle-bearing system model is elaborated on the basis of rotor dynamics prediction and readjusted on the basis of experimental modal identification. The dependency of dynamic behavior on speed range is then investigated and determined with accuracy. Dedicated experiments are carried out in order to confirm model results. They show that dynamic effects due to high rotational speed and elastic deformations, such as gyroscopic coupling and spin softening, have a significant influence on spindle behavior. By integrating the modeled speed-dependent spindle transfer function in the chatter vibration stability approach of Altintas and Budak (1995, CIRPS Ann, 44(1), pp. 357–362), a new dynamic stability lobe diagram is predicted. Significant changes are observed in the stability limits constructed using the proposed approach and allow accurate prediction of cutting conditions to be established. Finally, optimization studies are performed on spindle design parameters in order to obtain a chatter vibration-free cutting operation at the desired speed and depth of cut for a given cutter.

1.
Tobias
,
S.
, and
Fishwick
,
W.
, 1958, “
Theory of Regenerative Machine Tool Chatter
,”
Engineer (London)
0013-7758,
205
, Feb.
2.
Tlusty
,
J.
, and
Polacek
,
M.
, 1963, “
The Stability of Machine Tools Against Self-Excited Vibrations in Machining
,”
Proc. of ASME International Research in Production Engineering
, Pittsburgh,
ASME
,
New York
, pp.
465
474
.
3.
Merritt
,
H.
, 1965, “
Theory of Self-Excited Machine Tool Chatter
,”
Trans. ASME J. Eng. Industry
,
87
, pp.
447
454
.
4.
Altintas
,
Y.
, and
Budak
,
E.
, 1995, “
Analytical Prediction of Stability Lobe in Milling
,”
CIRP Ann.
0007-8506,
44
(
1
), pp.
357
362
.
5.
Agapiou
,
J. E.
, and
Rivin
,
C.
, 1995, “
Toolholder/Spindle Interfaces for CNC Machine Tools
,”
CIRP Ann.
0007-8506,
44
(
1
), pp.
383
387
.
6.
Smith
,
S.
,
Jacobs
,
P.
, and
Halley
,
J.
, 1999, “
The Effects of Drawbar Force on Metal Removal Rate in Milling
,”
CIRP Ann.
0007-8506,
48
(
1
), pp.
293
296
.
7.
Shin
,
Y. C.
, 1992, “
Bearing Non-Linearity and Stability Analysis in High Speed Machining
,”
Trans. ASME J. Eng. Industry
,
114
(
1
), pp.
23
30
.
8.
Wang
,
W. R.
, and
Chang
,
C. N.
, 1994, “
Dynamic Analysis and Design of a Machine Tool Spindle-Bearing System
,”
ASME J. Vibr. Acoust.
0739-3717,
116
, pp.
280
285
.
9.
Alfares
,
M. A.
, and
Elsharkawy
,
A.
, 2003, “
Effects of Axial Preloading of Angular Contact Ball Bearings on the Dynamics of a Grinding Machine Spindle System
,”
J. Mater. Process. Technol.
0924-0136,
136
(
1–3
), pp.
48
59
.
10.
Stein
,
J. L.
, and
Tu
,
J. F.
, 1996, “
Active Thermal Preload Regulation for Machine Tool Spindles With Rolling Element
,”
ASME J. Manuf. Sci. Eng.
1087-1357,
118
, pp.
499
505
.
11.
Bossmanns
,
B.
, and
Tu
,
J. F.
, 1999, “
A Thermal Model for High Speed Motorized Spindles
,”
Int. J. Mach. Tools Manuf.
0890-6955,
39
(
9
) pp.
1345
1366
.
12.
Spiewak
,
S. A.
, and
Nickel
,
T.
, 2001, “
Vibration Based Preload Estimation in Machine Tool Spindles
,”
Int. J. Mach. Tools Manuf.
0890-6955,
41
(
4
) pp.
567
588
.
13.
Lim
,
T. C.
, 1990, “
Vibration Transmission Through Rolling Element Bearing, Part I to IV
,”
J. Sound Vib.
0022-460X,
139
(
2
), pp.
179
199
.
14.
Jorgensen
,
B. R.
, and
Shin
,
Y. C.
, 1998, “
Dynamics of Spindle-Bearing Systems at High Speeds Including Cutting Load Effects
,”
ASME J. Manuf. Sci. Eng.
1087-1357,
120
, pp.
387
394
.
15.
Faassen
,
R. P. H.
,
van de Wouw
,
N.
,
Oosterling
,
J. A. J.
, and
Nijmeijer
,
H.
, 2003, “
Prediction of Regenerative Chatter by Modelling and Analysis of High-Speed Milling
,”
Int. J. Mach. Tools Manuf.
0890-6955,
43
, pp.
1437
1446
.
16.
Schmitz
,
T.
,
Ziegert
,
J.
, and
Stanislaus
,
C.
, 2004, “
A Method for Predicting Chatter Stability for Systems With Speed-Dependent Spindle Dynamics
,”
Trans. North Am. Manuf. Res. Inst. SME
1047-3025,
32
, pp.
17
24
.
17.
Gagnol
,
V.
,
Bouzgarrou
,
C. B.
,
Ray
,
P.
, and
Barra
,
C.
, 2005, “
Dynamic Analysis of a High Speed Machine Tool Spindle-Bearing System
,”
CD-ROM Proc. of ECCOMAS Conferences
,
Madrid
, June 21–24, Imprenta San Esteban.
18.
Gagnol
,
V.
,
Bouzgarrou
,
C. B.
,
Ray
,
P.
, and
Barra
,
C.
, 2005, “
Modelling Approach for a High Speed Machine Tool Spindle-Bearing System
,”
CD-ROM Proc. of International Design Engineering Technical Conferences
,
Long Beach
, Sept. 24–28,
ASME
, New York.
19.
Timoshenko
,
S.
, 1928,
Vibration Problems in Engineering
,
Van Nostrand
,
New York
.
20.
Genta
,
G.
, 1995,
Vibration of Structures and Machines
, Practical Aspects,
Springler-Verlag
,
Berlin
.
21.
Gagnol
,
V.
,
Bouzgarrou
,
C. B.
,
Ray
,
P.
, and
Barra
,
C.
, 2006, “
Model-Based Chatter Stability Prediction for High-Speed Spindles
,”
Int. J. Mach. Tools Manuf.
0890-6955, in press.
22.
Lalanne
,
M.
, and
Ferraris
,
G.
, 2001,
Rotordynamics Prediction in Engineering
2nd ed.
,
Wiley
,
New York
.
23.
Maeda
,
O.
,
Cao
,
Y.
, and
Altintas
,
Y.
, 2004, “
Expert Spindle Design System
,”
Int. J. Mach. Tools Manuf.
0890-6955,
41
(
4
), pp.
567
588
.
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