This technical brief presents a dynamic model based on the traditional transfer matrix method (TMM) and Jones–Harris nonlinear rolling bearing model to study the effects of the extended structure parameters on the vibration behavior of a high-speed motorized spindle-bearing system. The first critical speed and the dynamic stiffness of the high-speed motorized spindle-bearing system are systematically studied. A design sensitivity analysis of the structure parameters is then conducted to identify the main factor to affect the first critical speed of the spindle-bearing system. The results show that the processing condition, the shaft shoulder, the dimension of motor, and the bearing arrangement are sensitive to the spindle dynamic behavior. The TMM model of the spindle-bearing system is verified by measuring the high-speed motorized spindle overall dynamic stiffness.

Issue Section:
Technical Briefs
Keywords:
electric motors, machine tool spindles, matrix algebra, rolling bearings, rotors, shafts, vibrations, motorized spindle, rotor dynamic, transfer matrix method, rolling bearing analysis theory
Topics:
Bearings, Stiffness, Design, Rolling bearings, Engines, Motors, Rotors, Dimensions, Dynamic models
1.
Chen
,
C. H.
,
Wang
,
K. W.
, and
Shin
,
Y. C.
, 1994, “
An Integrated Approach Toward the Dynamic Analysis of High-Speed Spindles, Part I: System Model
,”
ASME J. Vibr. Acoust.
0739-3717,
116
, pp.
506
–
513
.
Crossref
Search ADS
 
2.
Alfares
,
M.
, and
Elsharkawy
,
A.
, 2000, “
Effect of Grinding Forces on the Vibration of Grinding Machine Spindle System
,”
Int. J. Mach. Tools Manuf.
0890-6955,
40
, pp.
2003
–
2030
.
Crossref
Search ADS
 
3.
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
.
Crossref
Search ADS
 
4.
Al-Shareef
,
K. J. H.
, and
Brandon
,
J. A.
, 1990, “
On the Effects of Variations in the Design Parameters on the Dynamic Performance of Machine Tool Spindle-Bearing Systems
,”
Int. J. Mach. Tools Manuf.
0890-6955,
30
(
3
), pp.
431
–
445
.
Crossref
Search ADS
 
5.
Nelson
,
H. D.
, and
McVaugh
,
J. M.
, 1976, “
The Dynamics of Rotor-Bearing Systems Using Finite Elements
,”
ASME J. Mech. Des.
0161-8458,
93
, pp.
593
–
600
.
6.
Nelson
,
H. D.
, 1980, “
A Finite Rotating Shaft Element Using Timoshenko Beam Theory
,”
ASME J. Mech. Des.
0161-8458,
102
, pp.
793
–
803
.
7.
Lin
,
C. W.
,
Tu
,
J. F.
, and
Kamman
,
J.
, 2003, “
An Integrated Thermo-Mechanical-Dynamic Model to Characterize Motorized Machine Tool Spindles During Very High Speed Rotation
,”
Int. J. Mach. Tools Manuf.
0890-6955,
43
, pp.
1035
–
1050
.
Crossref
Search ADS
 
8.
Cao
,
Y. Z.
, and
Altintas
,
Y.
, 2004, “
A General Method for the Modeling of Spindle-Bearing Systems
,”
ASME J. Mech. Des.
0161-8458,
126
, pp.
1089
–
1104
.
Crossref
Search ADS
 
9.
Lin
,
C. W.
, and
Tu
,
J. F.
, 2007, “
Model-Based Design of Motorized Spindle Systems to Improve Dynamic Performance at High Speeds
,”
J. Manuf. Process.
1526-6125,
9
(
2
), pp.
94
–
108
.
Crossref
Search ADS
 
10.
Kang
,
Y.
,
Chang
,
Y. P.
,
Tsai
,
J. W.
,
Chen
,
S. C.
, and
Yang
,
L. K.
, 2001, “
Integrated “CAE” Strategies for the Design of Machine Tool Spindle-Bearing Systems
,”
Finite Elem. Anal. Design
0168-874X,
37
, pp.
485
–
511
.
Crossref
Search ADS
 
11.
Cao
,
Y. Z.
, and
Altintas
,
Y.
, 2007, “
Modeling of Spindle-Bearing and Machine Tool Systems for Virtual Simulation of Milling Operations
,”
Int. J. Mach. Tools Manuf.
0890-6955,
47
, pp.
1342
–
1350
.
Crossref
Search ADS
 
12.
Jiang
,
S. Y.
, and
Zheng
,
S. F.
, 2010, “
A Modeling Approach for Analysis and Improvement of Spindle-Drawbar-Bearing Assembly Dynamics
,”
Int. J. Mach. Tools Manuf.
0890-6955,
50
, pp.
131
–
142
.
Crossref
Search ADS
 
13.
Jiang
,
S. Y.
, and
Mao
,
H. B.
, 2010, “
Investigation of Variable Optimum Preload for a Machine Tool Spindle
,”
Int. J. Mach. Tools Manuf.
0890-6955,
50
, pp.
19
–
28
.
Crossref
Search ADS
 
14.
Genta
,
G.
, 2005,
Dynamics of Rotating Systems
,
Springer
,
New York
.
15.
Prohl
,
M. A.
, 1945, “
A General Method for Calculating Critical Speeds of Flexible Rotors
,”
ASME J. Appl. Mech.
0021-8936,
12
, pp.
142
–
148
.
16.
Rao
,
J. S.
, 1983,
Rotor Dynamics
,
Wiley
,
New York
.
17.
Harris
,
T. A.
, 1984,
Rolling Bearing Analysis
,
Wiley
,
New York
.
18.
Qian
,
M.
, and
Jiang
,
S. Y.
, 2005, “
Dynamic Optimization of a High Speed Motorized Spindle
,”
China Mechanical Engineering
,
16
(
10
), pp.
864
–
868
.
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 by American Society of Mechanical Engineers
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