Varying the blank holder force during forming can lead to higher formability and accuracy, and better part consistency. Process control, using on-line adjustment of the blank holder force to follow a reference process variable (e.g., the punch force, the draw-in, etc.) trajectory has been applied to sheet metal forming. However, process controller design has not been thoroughly addressed. In this paper, the essential part for systematic process controller design, i.e., modeling a sheet metal forming process, will be addressed in terms of control terminology (e.g., the process model, the model uncertainty and the disturbance). A process model for u-channel forming, i.e., a mathematical relationship between the blank holder force and the punch force, is presented and experimentally validated. Characterization of the model uncertainty mainly due to small variations in blank size, sheet thickness, material properties and tooling shape due to die wear and the disturbance which is mainly due to friction is developed. [S1087-1357(00)01304-6]

1.
Adamson, A. M., 1995, “Closed-Loop Dimensional Control in Sheet Metal Forming via the Blank Restraining Force,” M.S. thesis, University of Michigan, Ann Arbor, MI.
2.
Adamson
,
A.
,
Ulsoy
,
A. G.
, and
Demeri
,
M.
,
1996
, “
Dimensional Control in Sheet Metal Forming via Active Binder Force Adjustment
,”
Trans. NAMRI/SME
,
XXIV
, pp.
167
178
.
3.
Ahmetoglu
,
M. A.
,
Altan
,
T.
, and
Kinzel
,
G. L.
,
1992
, “
Improvement of Part Quality in Stamping by Controlling Blank-Holder Force and Pressure
,”
J. Mater. Process. Technol.
,
33
, pp.
195
214
.
4.
Ahmetoglu, M. A., Coremans, A., Kinzel, G. L., and Altan, T., 1993, “In-proving Drawability by Using Variable Blank Holder Force and Pressure in Deep Drawing of Round and Non-Symmetric Parts,” SAE Technical Paper No. 930287.
5.
Ahmetoglu
,
M.
,
Broek
,
T. R.
,
Kinzel
,
G.
, and
Altan
,
T.
,
1995
, “
Control of Blank Holder Force to Eliminate Wrinkling and Fracture in Deep-Drawing Rectangular Parts
,”
CIRP Ann.
,
44
, No.
1
, pp.
247
250
.
6.
Jalkh, P., Cao, J., Hardt, D., and Boyce, M. C., 1993, “Optimal Forming of Aluminum 2008-T4 Conical Cups Using Force Trajectory Control,” SAE Technical Paper No. 930286.
7.
Liu
,
Y. C.
,
1988
, “
The effect of Restraining Force on Shape Deviations in Flanged Channels
,”
Trans. ASME, J. Eng. Mater. Technol.
,
110
, pp.
389
394
.
8.
Mickalich, M. K., and Wenner, M. L., 1988, “Calculation of Springback and its Variation in Channel Forming Operations,” SAE Technical Paper No. 880526.
9.
Schmoeckel
,
D.
, and
Beth
,
M.
,
1993
, “
Springback Reduction in Draw-Bending Process of Sheet Metals
,”
CIRP Ann.
,
42
, No.
1
, pp.
339
342
.
10.
Sunseri, M., Karafillis, A. P., Cao, J., and Boyce, M. C., 1994, “Methods to Obtain Net Shape in Aluminum Sheet Forming Using Active Binder Force Control,” AMD-Vol. 194, Mech. Mater. Process. Manufact., ASME, pp. 167–184.
11.
Ueda
,
M.
,
Udno
,
K.
, and
Kobayashi
,
M.
,
1981
, “
A Study of Springback in the Stretch Bending of Channels
,”
J. Mech. Work. Technol.
,
5
, pp.
163
179
.
12.
Zhang, Z. T., and Lee, D., 1995, “Effect of Process Variables and Material Properties on the Springback Behavior of 2D-Draw Bending Parts,” SAE Technical Paper No. 950692.
13.
Hardt
,
D. E.
, and
Fenn
,
R. C.
,
1993
, “
Real-Time Control of Sheet Stability during Forming
,”
Trans. ASME, J. Eng. Ind.
,
115
, pp.
299
308
.
14.
Hsu, C.-W., Demeri, M. Y., and Ulsoy, A. G., 1999, “Improvement of Consistency in Stamped Parts through Process Control,” 1999 TMS Annual Meeting, San Diego, California, Sheet Metal Forming Technology, Demeri, M. Y., ed. pp. 53–76.
15.
Sim
,
H. B.
, and
Boyce
,
M. C.
,
1992
, “
Finite Element Analyses of Real-Time Stability Control in Sheet Forming Processes
,”
Trans. ASME, J. Eng. Mater. Technol.
,
114
, pp.
180
188
.
16.
Siegert
,
K.
,
Dannenmann
,
E.
,
Wagner
,
S.
, and
Galaiko
,
A.
,
1995
, “
Closed-Loop Control System for Blank Holder Forces in Deep Drawing
,”
CIRP Ann.
,
44
, No.
1
, pp.
251
254
.
17.
Siegert, K., Wagner, S., and Ziegler, M., 1996, “Closed Loop Binder Force System,” SAE Technical Paper No. 960824.
18.
Siegert
,
K.
,
Ziegler
,
M.
, and
Wagner
,
S.
,
1997
, “
Closed Loop Control of the Friction Force. Deep Drawing Process
,”
J. Mater. Process. Technol.
,
71
, pp.
126
133
.
19.
Demeri
,
M. Y.
,
1993
, “
Drawbeads in Sheet Metal Forming
,”
J. Mater. Eng. Perform.
,
2
, No.
6
, pp.
863
866
.
20.
Cao, J., and Boyce, M. C., 1993, “Draw Bead Penetration as a Control Element of Material Flow,” SAE Technical Paper No. 930517.
21.
Michler
,
J. R.
,
Weinmann
,
K. J.
,
Kashani
,
A. R.
, and
Majlessi
,
S. A.
,
1994
, “
A Strip-Drawing Simulator with Computer-Controlled Drawbead Penetration and Blankholder Pressure
,”
J. Mater. Process. Technol.
,
43
, pp.
177
194
.
22.
Hao
,
S.
,
Ramalingam
,
S.
, and
Klamecki
,
B. E.
,
1997
, “
Sheet Metal Forming Process Control Using an Active Drawbead
,”
Trans. NAMRI/SME
,
XXV
, pp.
43
48
.
23.
Majlessi
,
S. A.
,
Kashani
,
A. R.
, and
Weinmann
,
K. J.
,
1992
, “
Stamping Process Modelling for Real-Time Control
,”
Trans. NAMRI/SME
,
XX
, pp.
33
38
.
24.
Hsu, C.-W., Ulsoy, A. G., and Demeri, M. Y., 1998, “Modeling for Control of Sheet Metal Forming,” 1998 Japan-USA Symposium on Flexible Automation, Otsu, Japan, Proceedings, Vol. III, pp. 1143–1148.
25.
Wang, X. J., Tang, D., Tang, X. A., Liu, J., and Chu, E., 1996. “Development of a New Universal Friction Test for Sheet Forming,” NUMISHEET’96, pp. 55–60.
26.
Hao, S., Ramalingam, S., and Klamecki, B. E., 1995, “Measuring and Modeling Friction for Sheet Metal Forming Process Analysis and Control,” MED-Vol. 2-2/MH-Vol. 3-2, Manuf. Sci. Eng., ASME, 1213–1226.
27.
Anand
,
L.
, and
Tong
,
W.
,
1993
, “
A Constitutive Model for Friction in Forming
,”
CIRP Ann.
,
42
, No.
1
, pp.
361
366
.
28.
Schey, J. A., and Watts, S. W. A., 1992, “Transient Tribological Phenomena in Drawbead Simulation,” SAE Technical Paper No. 920634.
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