Fuzzy Adaptive Control of Blank Holder Force in Circular-Cup Deep-Drawing (Forming Limit and Influencing Factors)

Shoichiro Yoshihara, Ken Ichi Manabe, Ming Yang, Hisashi Nishimura

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


The mechanism on improvement of the drawability by using the fuzzy adaptive BHF (blank holder force) control has been studied in circular-cup deep-drawing process. The deep-drawing tests were carried out using aluminum alloy and cold rolled steel sheets of 1.0 mm thickness. The LDRs (limit drawing ratio) obtained from the fuzzy BHF control method and the constant BHF method in the experiment were compared and evaluated. As a result, the LDR in the case of aluminum alloy improved from 2.09 to 2.14 and in the case of the steel from 2.25 to 2.27 with the fuzzy adaptive BHF control method. The previously presented mechanism on improvement of the drawability was proved by the observation of blank deformation process. The wrinkle at the flange part under the low BHF condition was flattened due to the increasing BHF from middle to last stage of the process and then the fracture at the punch shoulder part did not happen. Moreover, from the plastic deformation model of deep-drawing operation assuming the blank material with strain hardening and anisotropic characteristics, it was confirmed that the low F value and the high r value have a great effect on the improvement of the LDR by using the variable BHF method.

Original languageEnglish
Pages (from-to)4039-4044
Number of pages6
JournalNihon Kikai Gakkai Ronbunshu, C Hen/Transactions of the Japan Society of Mechanical Engineers, Part C
Issue number626
Publication statusPublished - 1998
Externally publishedYes


  • Adaptive Control
  • BHF Control
  • Deep Drawing
  • Formability
  • Fuzzy Set Theory
  • LDR
  • Plastic Forming

ASJC Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering


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