Numerical optimization of variable blank holder force trajectory and blank shape for twist springback reduction using sequential approximate optimization

  • Satoshi KitayamaEmail author
  • Ryoto Ishizuki
  • Masaki Yokoyaka
  • Kiichiro Kawamoto
  • Shinji Natsume
  • Kazuaki Adachi
  • Takahiro Noguchi
  • Toshio Ohtani


This paper proposes an approach for twist springback reduction using variable blank holder force (VBHF) trajectory that the blank holder force (BHF) varies through the stroke. In addition, the blank shape is optimized. Therefore, design optimization of VBHF trajectory and blank shape for twist springback reduction is performed. Springback of U-shaped product is a simple deformation, whereas the one of S-rail-shaped product shows more complicated behavior due to twisting. As the result, compared with the springback of U-shaped product, it is difficult to evaluate the twist springback. A novel evaluation method for the twist springback is proposed, and the optimal VBHF trajectory and blank shape for the twist springback reduction are determined under several design constraints. Numerical simulation of the S-rail-shaped product is so intensive that response surface approach is valid. In particular, a sequential approximate optimization that the response surface is repeatedly constructed and optimized is used to determine the optimal VBHF and blank shape. Through numerical result, the validation of the proposed approach is examined.


Twist springback reduction Variable blank holder force trajectory Blank shape Sequential approximate optimization Numerical simulation 


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© Springer-Verlag London Ltd., part of Springer Nature 2019

Authors and Affiliations

  • Satoshi Kitayama
    • 1
    Email author
  • Ryoto Ishizuki
    • 2
  • Masaki Yokoyaka
    • 2
  • Kiichiro Kawamoto
    • 3
  • Shinji Natsume
    • 4
  • Kazuaki Adachi
    • 4
  • Takahiro Noguchi
    • 4
  • Toshio Ohtani
    • 4
  1. 1.Kanazawa UniversityKanazawaJapan
  2. 2.Graduate School of Natural Science & TechnologyKanazawa UniversityKanazawaJapan
  3. 3.Komatsu Industries Corp.KanazawaJapan
  4. 4.Komatsu Ltd.OsakaJapan

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