Abstract
Even though high-strength steel is a favourable material because of its high strength and good formability, this material poses new challenges on the structure of stamping dies owing to potential damages of the die during production. Stamping dies are conventionally produced according to design manuals and standard manufacturing guidelines, where a high safety factor is specified to ensure that the stamping die is heavy and thick. A structural topology optimization method for a stamping die is presented in this study based on finite element simulations of the sheet metal stamping process. The finite element model of the stamping die is first established. Next, the boundary forces acting on the sheet metal are obtained from simulations and these forces are applied to the punch surface by means of load mapping during topology optimization. These forces are equivalent to the interaction between the blank and die. The objective function is to maximize the static stiffness under multi-conditions, which is defined by using the compromise programming approach. The analytic hierarchy process method is used to determine the weight ratio of the body stiffness in various load conditions and conduct topology optimization of the comprehensive objective function. The results show that the weight of the optimal punch is reduced while its performance is improved. More importantly, the reconstructed punch can be manufactured practically.
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References
Aitharaju V, Liu M, Dong J, Zhang J, Wang CT (2005) Integrated forming simulations and die structural analysis for optimal die designs. In AIP Conference Proceedings 778(1):96–100
Azamirad G, Arezoo B (2016) Structural design of stamping die components using bi-directional evolutionary structural optimization method. Int J Adv Manuf Technol 87:969–979
Barlat F, Lian J, Baudelet B (1989) Yield function for orthotropic sheets under plane stress conditions. Strength of Metals and Alloys 1:283–288
Becchio E, Chiara A, Fileccia R, Mastrocola M (1998) Use of fem in the drawing die structure design. SAE Technical Paper. https://doi.org/10.4271/982274
Ben Slima K, Penazzi L, Mabru C, Ronde-Oustau F (2013) Fatigue analysis-based numerical design of stamping tools made of cast iron. Int J Adv Manuf Technol 67:1643–1650
Bendsoe MP, Sigmund O (2003) Topology optimization-theory, methods and applications. Springer, New York
Bourdin B (2001) Filters in topology optimization. Int J Numer Methods Eng 50(9):2143–2158
Broggiato GB, Campana F, Mancini E (2013) Computer-aided engineering for sheet metal forming: definition of a springback quality function. Eng Comput 29:319–327
Chen J, Zhang GB, Tang YC, Xiao H, Wang A (2008) Sensitivity modeling and topology optimization of AHSS sheet metal stamping die structure. In: Proceedings of the 7th international conference and workshop on numerical simulation of 3D sheet metal forming processes, 847–852
Cheok BT, Li JY, Nee AYC (2002) Integrated feature-based modeling and process planning of bending operations in progressive die design. Int J Adv Manuf Technol 20(12):883–895
Gassara F, Hambli R, Bouraoui T, El Halouani F, Soulat D (2009) Optimization of springback in L-bending process using a coupled Abaqus/python algorithm. Int J Adv Manuf Technol 44:61–67
Haber RB, Jog CS, Bendsøe MP (1994) Variable-topology shape optimization with a constraint on perimeter. In: Gilmore B et al (eds) Advances in design automation, vol DE 69–2. ASME, New York, pp 261–272
Haufe A, Roll K, Bogon P (2008) Sheet metal forming simulation with elastic tools in LS-DYNA. In: Proceedings of the 7th International Conference, Numisheet
Hill R (1948) A theory of the yielding and plastic flow of anisotropic metals. Proc R Soc Lond 193(1033):281–297
Hou J, Zhu JH, He F, Zhang WH, Guo WJ (2017) Stiffeners layout design of thin-walled structures with constraints on multi-fastener joint loads. Chinese J Aeronaut 30(4):1441–1450
Lin BT, Chang MR, Huang HL, Liu CY (2009a) Computer-aided structural design of drawing dies for stamping processes based on functional features. Int J Adv Manuf Technol 42:1140–1152
Lin B, Chang M, Huang H, Liu C (2009b) Computer-aided structural design of drawing dies for stamping processes based on functional features. Int J Adv Manuf Technol 42(11):1140–1152
Liu JK, Ma YS (2016) A survey of manufacturing oriented topology optimization methods. Adv Eng Softw 100:161–175
Mei YL, Wang XM (2004) A level set method for structural topology optimization and its applications. Comput Methods Appl Mech Eng 35(7):415–441
Nilsson A, Birath F (2003) Topology optimization of a stamping die. In AIP Conference Proceedings 908(1): 449–454
Okabe T, Oya Y, Yamamoto G, Sato J, Matsumiya T, Matsuzaki R, Yashiro S, Obayashi S (2017) Multi-objective optimization for resin transfer molding process. Compos A: Appl Sci Manuf 92:1–9
Oujebbour FZ, Habbal A, Ellaia R (2015) Optimization of stamping process parameters to predict and reduce spring back and failure criterion. Structural Optimization 51:495–514
Palaniswamy H, Braedel M, Thandapani A, Altan T (2006) Optimal programming of multi-point cushion Systems for Sheet Metal Forming. CIRP Annals-Manufacturing Technology 55(1):249–254
Panthi SK, Ramakrishnan N, Ahmed M, Singh SS, Goel MD (2010) Finite element analysis of sheet metal bending process to predict the spring back. Mater Des 31:657–662
Park JW, Kang KM (2012) The effect of hydrogen in automobile high strength steel sheets charged with hydrogen by using electrochemical method. Finite Elem Anal Des 45(5):212–217
Park HS, Nguyen TT, Dahal P (2016) Development of a new concrete pipe molding machine using topology optimization. J Mech Sci Technol 30(8):3757–3765
Petersson J, Sigmund O (1998) Slope constrained topology optimization. Int J Numer Methods Eng 41(8):1417–1434
Ren B, Zhang S, Tan J (2014) Structural scheme optimization Design for the Stationary Platen of a precision plastic injection molding machine. Chinese Journal of Mechanical Engineering 27(4):714–721
Salcedo D, Luis CJ, Luri R, León J, Puertas I, Fuertes JP (2015) Design and optimization of the dies for the isothermal forging of a cam. Procedia Engineering 132:1069–1076
Sheng ZQ, Taylor R, Strazzanti M (2007) FEM analysis and design bulb shield progressive draw die. J Mater Process Technol 189:58–64
Sigmund O (1997) On the design of compliant mechanisms using topology optimization. Mechan Struct Mach 25(4):493–524
Sigmund O (2007) Morphology-based black and white filters for topology optimization. Structural Optimization 33(4–5):401–424
Wang JP, Chang S, Liu G, Liu L, Wu LY (2017) Optimal rib layout design for noise reduction based on topology optimization and acoustic contribution analysis. Structural Optimization. https://doi.org/10.1007/s00158-017-1705-5
Wang H, Li E, Li GY (2009) Parallel boundary and best neighbor searching sampling algorithm for draw bead design optimization in sheet metal forming. Struct Multidiscip Optim 41(2):309–324
Wang GF, Wu XS, Sun C, Liu SF, Liu Q, Zhao HS (2014) Auxiliary current hot forming of high-strength steel for automobile parts. Procedia Engineering 81:1701–1706
Xie YM, Steven GP (1993) A simple evolutionary procedure for structural optimization. Comput Struct 49:885–896
Xu DK, Chen J, Tang YC, Cao J (2012) Topology optimization of die weight reduction for high-strength sheet metal stamping. Int J Mech Sci 59:73–82
Zhu JH, Gu XJ, Zhang WH, Beckers P (2013) Structural design of aircraft skin stretch-forming die using topology optimization. J Comput Appl Math 246:278–288
Zhu JH, Zhang WH, Xia L (2016) Topology optimization in aircraft and aerospace structures design. Archives of Computational Methods in Engineering 23(4):595–622
Acknowledgements
This work is supported by the National Key Technology Research and Development Program of the Ministry of Science and Technology of China (Grant no.: 2015BAF01B01) and the strategic emerging industry of Hunan province and science technology research projects (2016GK4008). The authors also wish to extend their greatest appreciation to Shanghai Tractor & Internal Combustion Engine Co. Ltd. for providing the stamping die used in the case study.
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Wang, H., Xie, H., Liu, Q. et al. Structural topology optimization of a stamping die made from high-strength steel sheet metal based on load mapping. Struct Multidisc Optim 58, 769–784 (2018). https://doi.org/10.1007/s00158-018-1899-1
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DOI: https://doi.org/10.1007/s00158-018-1899-1