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Numerical investigation and optimization of pulsating and variable blank holder force for identification of formability window for deep drawing of cylindrical cup

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Abstract

When a difficult-to-draw material is used, it is important to clarify a formability window representing the relationship between the blank holder force (BHF) and the punch stroke. In many cases, variable blank holder force (VBHF) that the BHF varies through the punch stroke is useful for the successful sheet metal forming to the difficult-to-draw materials. Another approach is to use pulsating blank holder force (PBHF). Therefore, the use of both the PBHF and the VBHF is useful for identifying the formability window of difficult-to-draw materials. In this paper, the formability window of a difficult-to-draw material is clarified with the PBHF and the VBHF. A design optimization problem is constructed to identify the formability window, in which the punch stroke is maximized subject to wrinkling and tearing. Several parameters in the VBHF and PBHF are included, and these are taken as the design variables. Numerical simulation in sheet metal forming is so numerically intensive that response surface approach is used. In particular, a sequential approximate optimization (SAO) using a radial basis function (RBF) network is used to determine the optimal parameter of PBHF and VBHF. In the numerical simulation, deep drawing of a cylindrical cup based on NUMISHEET 2011(BM1) is used. The approach using the PBHF and VBHF for identifying the formability window is examined through the numerical simulation coupled with the SAO using the RBF network. It is found from the numerical result that the proposed approach is useful for clarifying the formability window of a difficult-to-draw material. In addition, the optimal PBHF can reduce the maximum punch load that affects the tool life.

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References

  1. Traversin M, Kergen R (1995) Closed-loop control of the blank-holder force in deep drawing: finite-element modeling of its effects and advantages. J Mater Process Technol 50:306–317

    Article  Google Scholar 

  2. Manabe K, Koyama H, Yoshihara S, Yagami T (2002) Development of a combination punch speed and blank-holder fuzzy control system for the deep-drawing process. J Mater Process Technol 125–126:440–445

    Article  Google Scholar 

  3. Yoshihara S, Manabe K, Nishimura H (2005) Effect of blank holder force control in deep-drawing process of magnesium alloy sheet. J Mater Process Technol 170:579–585

    Article  Google Scholar 

  4. Lin ZQ, Wang WR, Chen GL (2007) A new strategy to optimize variable blank holder force towards improving the forming limits of aluminum sheet metal forming. J Mater Process Technol 183:339–346

    Article  Google Scholar 

  5. Wang WR, Chen GL, Lin ZQ, Li SH (2007) Determination of optimal blank holder force trajectories for segmented binders of step rectangle box using PID closed-loop FEM simulation. Int J Adv Manuf Technol 32:1074–1082

    Article  Google Scholar 

  6. Kitayama S, Hamano S, Yamazaki K, Kubo T, Nishikawa H, Kinoshita H (2010) A closed-loop type algorithm for determination of variable blank holder force trajectory and its application to square cup deep drawing. Int J Adv Manuf Technol 51:507–571

    Article  Google Scholar 

  7. Pasierb A, Wojnar A (1992) An experimental investigation of deep drawing and drawing processes of thin-walled products with utilization of ultrasonic vibration. J Mater Process Technol 34:489–494

    Article  Google Scholar 

  8. Jimma T, Kasuga Y, Iwaki N, Miyazawa O, Mori E, Ito K, Hatano H (1998) An application of ultrasonic vibration to the deep drawing processes. J Mater Process Technol 80–81:406–412

    Article  Google Scholar 

  9. Huang YM, Wu YS, Huang JY (2014) The influence of ultrasonic vibration-assited micro-deep drawing process. Int J Adv Manuf Technol 71:1455–1461

    Article  Google Scholar 

  10. Hayashi M, Jin M, Thipprakmas S, Murakawa M, Huang JC, Tsai YC, Hung CH (2003) Simulation of ultrasonic-vibration drawing using the finite element method (FEM). J Mater Process Technol 140:30–35

    Article  Google Scholar 

  11. Ali S, Hinduja S, Atkinson J, Bolt P, Werkhoven R (2008) The effect of ultra-low frequency pulsations on tearing during deep drawing of cylindrical cups. Int J Mach Tool Manuf 48:558–564

    Article  Google Scholar 

  12. Mostafapur A, Ahangar S, Dadkhah R (2013) Numerical and experimental investigation of pulsating blankholder effect on drawing of cylindrical part of aluminum alloy in deep drawing process. Int J Adv Manuf Technol 69:1113–1121

    Article  Google Scholar 

  13. Kitayama S, Arakawa M, Yamazaki K (2011) Sequential approximate optimization using radial basis function network for engineering optimization. Optim Eng 12(4):535–557

    Article  MathSciNet  MATH  Google Scholar 

  14. Kitayama S, Kita K, Yamazaki K (2012) Optimization of variable blank holder force trajectory by sequential approximate optimization with RBF network. J Advan Manuf Technol 61(9–12):1067–1083

    Article  Google Scholar 

  15. Kitayama S, Huang S, Yamazaki K (2013) Optimization of variable blank holder force trajectory for springback reduction via sequential approximate optimization with radial basis function network. Struct Multidiscip Optim 47(2):289–300

    Article  Google Scholar 

  16. Nakayama H, Yun Y, Yoon M (2009) Sequential approximate multiobjective optimization using computational intelligence, Springer. doi:10.1007/978-3-540-88910-6

  17. Bonte MHA, van den Boogaard AH, Huetink J (2008) An optimization strategy for industrial metal forming processes. Struct Multidiscip Optim 35:571–586

    Article  Google Scholar 

  18. Ingarao G, Di Lorenzo R (2010) Optimization methods for complex sheet metal stamping computer aided engineering. Struct Multidiscip Optim 42:459–480

    Article  Google Scholar 

  19. Wang H, Li GY, Zhong ZH (2008) Optimization of sheet metal forming processes by adaptive response surface based on intelligent sampling method. J Mater Process Technol 197:77–88

    Article  Google Scholar 

  20. Obermeyer EJ, Majlessi SA (1998) A review of recent advances in the application of blank-holder force towards improving the forming limits of sheet metal parts. J Mater Process Technol 75:222–234

    Article  Google Scholar 

  21. Huh H, Chung K, Han SS, Chung WJ (2011) The NIMISHEET 2011 benchmark study of the 8th international conference and workshop on numerical simulation of 3D sheet metal forming processes, part C benchmark problems and results (Seoul, Korea): 11–13

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Authors and Affiliations

  1. Kanazawa University, Kakuma-machi, Kanazawa, 920-1192, Japan

    Satoshi Kitayama & Koetsu Yamazaki

  2. Graduate School of Natural Science & Technology, Kanazawa University, Kakuma-machi, Kanazawa, 920-1192, Japan

    Shinji Natsume

  3. Universal Can Corporation, 1500, Suganuma, Sunto-gun, Oyama-cho, Shizuoka, 410-1392, Japan

    Jing Han

  4. Universal Can Corporation, 1-4-25, Kouraku, Bunkyo-ku, Tokyo, 112-8525, Japan

    Hiroaki Uchida

Authors
  1. Satoshi Kitayama
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  2. Shinji Natsume
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  3. Koetsu Yamazaki
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  4. Jing Han
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  5. Hiroaki Uchida
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Correspondence to Satoshi Kitayama.

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Kitayama, S., Natsume, S., Yamazaki, K. et al. Numerical investigation and optimization of pulsating and variable blank holder force for identification of formability window for deep drawing of cylindrical cup. Int J Adv Manuf Technol 82, 583–593 (2016). https://doi.org/10.1007/s00170-015-7385-7

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  • DOI: https://doi.org/10.1007/s00170-015-7385-7

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