Abstract
Multi-point stretch forming (MPSF) is a new flexible forming technique to form aircraft outer skin parts. The multi-point stretching die (MPSD) replaces the traditional fixed shape stretching die, and the sheet metal is formed over a MPSD composed by the punch element. The MPSD is a discontinuous surface of discrete stretching die, and the stress concentration and local strain occur on formed parts. These lead to generate dimples on the surface of formed part. In this paper, a series of numerical simulations on MPSF processes for stretching parabolic cylindrical, spherical, and saddle-shaped parts were carried out. The local stress and local strain in thickness distribution of MPSF part were analyzed by dispersed the blank into solid elements. The forming results of MPSF were compared with those that use traditional stretch forming, and the influences of thickness of elastic cushion and the size of punch element on the stress concentration and local strain were surveyed. The simulation results show the distribution of local stress and local deformation in different layers, and the elastic cushion and the small size of punch element can reduce the stress concentration and local deformation. The results may understand the stress distribution on the sheet and prevent the defect of dimple.
Similar content being viewed by others
References
Cai ZY, Wang SH, Xu XD, Li MZ (2009) Numerical simulation for the multi-point stretch forming process of sheet metal. J Mater Process Technol 209(1):396–407
Wang SH, Cai ZY, Li MZ (2010) FE simulation of shape accuracy using the multi-point stretch-forming process. Int J Mater Prod Technol 38(2–3):223–236
Zhou ZH, Cai ZY, Li MZ (2005) Stretching process based on multi-point die and its numerical simulation. J Jilin Univ Eng Technol Ed 19(3):287–291, in Chinese
Li MZ, Nakamura K, Watanabe S et al (1992) Study of the basic principles (1st report: research on multi-point forming for sheet metal). Proc. of the Japanese Spring conf. for Technology of Plasticity, pp 519–522 (in Japanese)
Nakajima N (1969) A newly developed technique to fabricate complicated dies and electrodes with wires. J Japan Soc Mech Eng 72(603):498–506
Hardt DE, Gossard DC (1980) A variable geometry die for sheet metal forming: machine design and control. Proc Jt Autom Control Conf., USA No. 2, FP7-C, pp 1–5
Hardt DE, Olsen BA, Allison BT, Pasch K (1981) Sheet metal forming with discrete die surfaces. In: Proceedings of Ninth American Manufacturing Research Conference, pp 140–144
Hardt DE, Webb RD (1982) Sheet metal die forming using closed loop shape control. Annals of the CIRP 31(1):165–169
Hardt DE, Robinson RE and Webb RD (1985) Closed-loop control of die stamped sheet metal parts: algorithm development and flexible forming machine design. In: Proceedings of Advanced Systems for Manufacturing Conference, Madison, Wisconsin, USA, pp 21–28
Walczyk DF, Hardt DE (1998) Design and analysis of reconfigurable discrete dies for sheet metal forming. J Manuf Syst 17(6):436–454
Walczyk DF, Lakshmikanthan J, Kirt DR (1998) Development of a reconfigurable tool for forming aircraft body panels. J Manuf Syst 17(4):287–296
Finckenstein EV, Kleiner M (1991) Flexible numerically controlled tool system for hydro-mechanical deep drawing. Ann CIRP 40:311–314
Papazian JM (2002) Tools of change: reconfigurable forming dies raise the efficiency of small-lot production. Mech Eng 124(2):52–55
Socrate S, Boyce MC (2001) A finite element based die design algorithm for sheet metal forming on reconfigurable tools. J Eng Mater Technol 123(4):489–495
Anagnostou EL (2002) Optimized tooling design algorithm for sheet metal forming over reconfigurable compliant tooling. Ph.D. thesis, State University of New York at Stony Brook
Webb RD, Hardt DE (1991) A transfer function description of sheet metal forming for process control. Trans ASME J Eng Ind 113:44–52
Valjavec M, Hardt DE (1999) Closed-loop shape control of the stretch forming process over a reconfigurable tool: precision airframe skin fabrication. In: Proceedings of the ASME, Manufacturing Engineering Division, MED, pp 909–919
Liu CG, Li MZ, Fu WZ (2008) Principles and apparatus of multi-point forming for sheet metal. Int J Adv Manuf Technol 35(11–12):1227–1233
Tan FX, Li MZ, Cai ZY et al (2009) Formability analysis on the process of multi-point forming for titanium alloy retiary sheet. Int J Adv Manuf Technol 41(11–12):1059–1065
Tan FX, Li MZ, Cai ZY (2007) Research on the process of multi-point forming for the customized titanium alloy cranial prosthesis. J Mater Process Technol 187:453–457
Cai ZY, Wang SH, Li MZ (2008) Numerical investigation of multi-point forming process for sheet metal: wrinkling, dimpling and springback. Int J Adv Manuf Technol 37(9–10):927–936
Li MZ, Cai ZY, Liu CG, et al (2005) Recent developments in multi-point forming technology, advanced technology of plasticity. In: Bariani PF (ed) Proceedings of the 8th International Conference on Technology of Plasticity, Edizioni Progetto Padova, Verona, Italy, pp 707–708
Cai ZY, Li MZ, Chen XD (2006) Digitized die forming system for sheet metal and springback minimizing technique. Int J Adv Manuf Technol 28(11–12):1089–1096
Wang SH, Cai ZY, Li MZ (2010) Numerical investigation of the influence of punch element in multi-point stretch forming process. Int J Adv Manuf Technol 48(5–8):475–483
Acknowledgments
This work was supported by the National Science Foundation (50775098 and 51075186) and the “985 Project” of Jilin University of China.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wang, S., Cai, Z., Li, M. et al. Numerical simulation on the local stress and local deformation in multi-point stretch forming process. Int J Adv Manuf Technol 60, 901–911 (2012). https://doi.org/10.1007/s00170-011-3663-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00170-011-3663-1