This paper presents a systematic finite element model to predict the fixture unit stiffness by introducing nonlinear contact elements on the contact surface between fixture components. The contact element includes three independent springs: two in tangential directions and one in the normal direction of the contact surface. Strong nonlinearity is caused by possible separation and sliding between two fixture components. The problem is formulated by the penalty function method and is solved by the Newton-Raphson procedure. The model was validated by two cases of analysis of a linear cantilever beam and a simple fixture unit with two components. The results are in agreement with the corresponding analytical solution of beams and the previous experimental results for fixture in the literature.

1.
Wardak
,
2001
, “
Optimal Fixture Design for Drilling Through Deformable Plate Workpieces—Part 1: Model Formulation
,”
J. Manuf. Syst.
,
20
, pp.
23
21
.
2.
Fang
,
B.
,
DeVor
,
R. E.
, and
Kapoor
,
S. G.
,
2002
, “
Influence of Friction Damping on Workpiece-Fixture System Dynamics and Machining Stability
,”
ASME J. Manuf. Sci. Eng.
,
124
, pp.
226
233
.
3.
Lee
,
J. D.
, and
Haynes
,
L. S.
,
1987
, “
Finite Element Analysis of Flexible Fixturing Systems
,”
ASME J. Eng. Ind.
,
109
, pp.
134
139
.
4.
Trappey, A. J. C., Su, C. S., and Hou, J. L., 1995, “Computer-Aided Fixture Analysis Using Finite Element Analysis and Mathematical Optimization Modeling,” ASME IMECE, MED v2-1, Nov. 12–17, 1995, pp. 777–787.
5.
Zhu, Y., Zhang, S., and Rong, Y., 1993, “Experimental Study on Fixturing Stiffness of T-Slot Based Modular Fixtures,” NAMRI Transactions XXI, NAMRC, Stillwater, OK, May 19–21, pp. 231–235.
6.
Liao
,
Y. G.
, and
Hu
,
S. J.
,
2001
, “
An Integrated Model of a Fixture-Workpiece System for Surface Quality Prediction
,”
Int. J. Adv. Manuf. Tech.
,
17
, pp.
810
818
.
7.
Rong, Y., and Zhu, Y., 1999, “Computer-Aided Fixture Design,” New York, NY, Dekker, Chap 5.
8.
Mazurkiewicz
,
M.
, and
Ostachowicz
,
W.
,
1983
, “
Theory of Finite Element Method for Elastic Contact Problems of Solid Bodies
,”
Comput. Struct.
,
17
, pp.
51
59
.
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