Optimum Sheet Forming Process Design by Using FE Analysis and Mathematical Programing

  • Tsutao Katayama
  • Eiji Nakamachi
  • Kenji Nakano
Conference paper


Until now, in the forming process design the data base decision system based on expert’s experience and experimental observation has been employed commonly. This paper newly proposed the optimum process design system based on two numerical simulation schemes. One is the forming simulation[1][2][3] by using the finite element method -ROBUST-. Another is the mathematical programing[4], such like the grid search and simplex methods. In this system, the objective function is formulated by the design parameters, such like sizes of tools, stages of process and material properties. The optimum search is performed under the constraint condition by employing the nonlinear programing and finite element methods.


Simplex Method Grid Search Method Global Minimum Point Punch Stroke Convergent Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. [1]
    Nakamachi E, A Finite Element Simulation of the Sheet Metal Forming Process, Int. J. for Numer. Methods in Engng., 25, p283, (1988)MATHCrossRefGoogle Scholar
  2. [2]
    T.J.R. Hughes, The Finite Element Method, (1987), Prentice Hall Ine.MATHGoogle Scholar
  3. [3]
    Proc. of NUMISHEET ’93, eds. A. Makinouchi et. al, (1993), J.S.F.S.R.G. Press.Google Scholar
  4. [4]
    G.L.Nemhauser, et. al, Optimization, (1989), Elserier Science Pub.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Tsutao Katayama
    • 1
  • Eiji Nakamachi
    • 2
  • Kenji Nakano
    • 3
  1. 1.Doshisha UniversityKyotoJapan
  2. 2.Osaka Institute of TechnologyOsakaJapan
  3. 3.Graduate School of Doshisha UniversityKyotoJapan

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