Process optimisation in deep drawing
Keywords:
Optimisation, sensitivity analysis, deep drawingAbstract
A numerical technique for process optimisation applied to the deep drawing of sheet metals is proposed in this paper. This technique is based on the combination of an optimisation algorithm and a finite element method. The optimisation algorithm is based on a gradient method containing a sensitivity analysis and allows to optimise process parameters in order to obtain a final product with the desired shape. Numerical examples are presented to illustrate the efficiency of the proposed approach.
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References
[BAR 98] BARLET 0., Contribution a !'optimisation de forme de pieces embouties pour
l'industrie automobile, Doctor Thesis (in French), UTC, 1998.
[BOU 96] BOUBAKAR L, BOULMANE L, GELIN J.C., "Finite element modelling of the
stamping of anisotropic sheet metals", Engineering Computations, vol. 13, p. 143-171,
[JOA 95] JOANNIC D, GELIN J.C., Accurate simulation of springback in 3D sheet metal
forming processes, 5th Int. Conf on Numerical Methods in Industrial Forming Processes
- Numifonn'95, Ed. by S.F. Shen and P.R. Dawson, A.A. Balkema Publ., 729-735, 1995.
[GEL 95] GELIN J.C., BOULMANE L., and BOISSE P., Quasi-static implicit transient analyses
of sheet metal forming using a CO three node shell element, J. Mater. Processing
Technology, vol. 50, no 1-4,54-69, 1995.
[GHO 96] GHOUATI 0., GELIN J.C., "Sensitivity analysis and optimization of shape and
process parameters in metal forming", Engineering Systems Design and Analysis
Conference I996, vol. 3, p. 221-226.
[GHO 98] GHOUATI 0., GELIN J.C., "Sensitivity analysis in forming processes",
International Journal of Forming Processes, Vol.!, n°3/!998, p.297-322, (1998).
[HAR 94] HARDIN, R.H.; SLOANE, N.J.A.: Operating manual for Gosset: a general purpose
program for constructing experimental designs (second edition), Mathematical Sciences
Research Center, AT&T Bell Laboratories, 1994.
[KEG 95] KEGL M., BUTINAR B.J., OBLAK M.M., "Shape optimal design of elastic planar
frames with non-linear response", Int. J. Numer. Methods. Eng., vol. 38, 3227-3242,
(1995).
[LAU 97] LAURENCE C., ZHOU J.L., TITS A.L, "User's guide for CFSQP Version 2.5",
[MAK 93] MAKINOUCHI A., NAKAMACHI E., Numisheet'93, Numerical methods for sheet
meta/fanning, Tokyo, Japan, 1993.
[ROU 98] ROUX W.J.; STANDER N.; HAFrKA R.T.: "Response surface approximations for
structural optimization", Int. J. Num. Meth. Eng., 42, p. 517-534, 1998.
[SCH 94] SCHRAMM 0., PILKEY W. D., "Optimal shape design for thin-walled beam crosssections",
Int. J. Numer. Methods. Eng., vol. 37,4039-4058, (1994).
[SCH 98] SCHIMMERLING P.; SISSON J.C.; ZAIDI A.: Pratique des plans d'experiences, TEC
& DOC, Paris, 1998.