The dynamic stability of a workpiece in a fixture is a critical indicator of machining fixture performance and is affected by a variety of factors. This paper presents a parameter effect analysis of fixturing dynamic stability in machining based on a previously developed stability model. The effects of four major factors - spindle speed, static coefficient of friction, fixture layout, and clamping forces - on the dynamic stability of a fixtured workpiece are investigated and the predominant effects are identified. Further, the effect of imprecision of the static coefficient of friction on the fixturing dynamic stability is examined. A numerical example is presented and insightful interpretations are given.

1.
Deng, H., Melkote, S.N., 2005, “Analysis of fixturing dynamic stability in machining,” 2005 IEEE/ASME International Conference on Advanced Intelligent Mechatronics (AIM2005), July 24–28, 2005, Monterey, California.
2.
Chou
Y. C.
,
Chandru
V.
,
Barash
M. M.
,
1989
, “
A mathematical approach to automatic configuration of machining fixtures: analysis and synthesis
,”
ASME Journal of Engineering for Industry
, Vol.
111
, No.
4
, pp.
299
306
.
3.
DeMeter
E. C.
,
1994
, “
The min-max load criteria as a measure of machining fixture performance
,”
ASME Journal of Engineering for Industry
, Vol.
116
, pp.
500
507
.
4.
Li
B.
,
Melkote
S. N.
,
1999
, “
An elastic contact model for the prediction of workpiece-fixture contact forces in clamping
,”
ASME Journal of Manufacturing Science and Engineering
, Vol.
121
, pp.
485
493
.
5.
Wang
M. Y.
,
Pelinescu
D. M.
,
2003
, “
Contact force prediction and force closure analysis of a fixtured rigid workpiece with friction
,”
ASME Journal of Manufacturing Science and Engineering
, Vol.
125
, pp.
325
332
.
6.
Kang
Y.
,
Rong
Y.
,
Yang
J. A.
,
2003
, “
Geometric and kinetic model based computer-aided fixture design verification
,”
ASME Journal of Computing and Information Science in Engineering
, Vol.
3
, pp.
187
199
.
7.
Shawki
G. S. A.
,
Abdel-Aal
M. M.
,
1965
, “
Effect of fixture rigidity and wear on dimensional accuracy
,”
International Journal of Machine Tool Design
, Res.
5
, pp.
183
202
.
8.
Daimon
M.
,
Yoshida
T.
,
Kojima
N.
,
Yamamoto
H.
,
Komatsu Ltd.
, and
Hoshi
T.
,
1985
, “
Study for designing fixture considering dynamics of thin-walled plate and boxlike workpieces
,”
Annals of the CIRP
, Vol.
34
, No.
1
, pp.
319
324
.
9.
Serdyuk
L. M.
,
Mikityanskii
V. V.
,
1987
, “
Analyzing the sensitivities of production systems to machine tool fixture dynamic characteristics
,”
Mashinovedenie
, Vol.
4
, pp.
92
96
.
10.
Mittal
R. O.
,
Cohen
P. H.
,
Gilmore
B. J.
,
1991
, “
Dynamic modeling of the fixture-workpiece system
,”
Robotics & Computer-Integrated Manufacturing
, Vol.
8
, No.
4
, pp.
201
217
.
11.
Liao
Y. G.
,
Hu
S. J.
,
2000
, “
Flexible multibody dynamics based fixture-workpiece analysis model for fixturing stability
,”
International Journal of Machine Tools & Manufacture
, Vol.
40
, pp.
343
362
.
12.
Liao
Y. G.
,
Hu
S. J.
,
2001
, “
An integrated model of a fixture-workpiece system for surface quality prediction
,”
International Journal of Advanced Manufacturing Technology
, Vol.
17
, pp.
810
818
.
13.
Deiab
I. M.
,
Veldhuis
S. C.
,
Dumitrescu
M.
,
2002
, “
Dynamic modeling of face milling process including the effect of fixture dynamics
,”
Transactions of NAMRI/SME
, Vol.
30
, pp.
461
468
.
14.
Hockenberger
M. J.
,
DeMeter
E. C.
,
1995
, “
A preliminary investigation into the use of meta-functions for the dynamic analysis of workpiece displacement within a machining fixture
,”
Transactions of NAMRI/SME
, Vol.
23
, pp.
325
330
.
15.
Tao
Z. J.
,
Kumar
A. S.
,
Nee
A. Y. C.
,
Mannan
M. A.
,
1997
, “
Modeling and experimental investigation of a sensorintegrated workpiece-fixture system
,”
International Journal of Computer Application in Technology
, Vol.
10
, Nos.
3/4
, pp.
236
250
.
16.
Cai
W.
,
Hu
S. J.
,
Yuan
J. X.
,
1997
, “
Variational method of robust fixture configuration design for 3-D workpieces
,”
ASME Journal of Manufacturing Science and Engineering
, Vol.
119
, pp.
593
602
.
17.
Estrems
M.
,
Sßnchez
H. T.
,
Faura
F.
,
2003
, “
Influence of fixtures on dimensional accuracy in machining processes
,”
The International Journal of Advanced Manufacturing Technology
, Vol.
21
, pp.
384
390
.
18.
Liu
S. C.
,
Hu
S. J.
,
1997
, “
Variation simulation for deformable sheet metal assemblies using finite element methods
,”
ASME Journal of Manufacturing Science and Engineering
, Vol.
119
, pp.
368
374
.
19.
Camelio
J.
,
Hu
S. J.
,
Ceglarek
D.
,
2003
, “
Modeling variation propagation of multi-station assembly systems with compliant parts
,”
ASME Journal of Mechanical Design
, Vol.
125
, pp.
673
681
.
20.
Zhong
W.
,
2004
, “
Unified modeling of variation propagation and tolerance synthesis for integrated machining-assembly systems part I: modeling variation propagation
,”
Transactions of NAMRI/SME
, Vol.
32
, pp.
541
548
.
21.
Shen
Y.
,
Duffie
N. A.
,
1995
, “
An uncertainty analysis method for coordinate referencing in manufacturing systems
,”
ASME Journal of Engineering for Industry
, Vol.
117
, pp.
42
48
.
22.
Shimoga, K.B., Goldenberg, A.A., 1991, “Grasp admittance center: how sensitive is it to parameter imprecision?” Proceedings of IEEE International Conference of Robotics and Automation, pp. 619–624.
23.
Shimoga, K.B., Goldenberg, A.A., 1991, “Grasp admittance center: a concept and its implications,” Proceedings of IEEE International Conference of Robotics and Automation, April 7–12, Sacramento, CA, pp. 293–298.
24.
Hershkovitz
M.
,
Teboulle
M.
,
1998
, “
Sensitivity analysis for a class of robotic grasping quality functionals
,”
Robotica
, Vol.
16
, pp.
227
235
.
25.
Johnson, K.L., 1985, Contact Mechanics, Cambridge University Press, U.K.
26.
Bauchau, O.A., 2004, Aerospace Structural Analysis, Chapter 7 Variational and Energy Principles, Georgia Institute of Technology, Atlanta, U.S.A.
27.
Carr Lane Manufacturing Co., 1995, Modular Fixturing Handbook, 2nd Edition.
28.
Altintas, Y., 2000, Manufacturing Automation, Cambridge University Press.
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