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Numerical methods and programming, 2016, Volume 17, Issue 3, Pages 258–267 (Mi vmp833)  

This article is cited in 2 scientific papers (total in 2 papers)

Mathematical modeling of inverse multipoint forming problems in the creep mode using a reconfigurable tool

K. S. Bormotin, S. V. Belykh, A. Vin

Komsomolsk-on-Amur State Technical University
Full-text PDF (446 kB) Citations (2)
Abstract: A mathematical formulation of inverse forming problems in the creep mode using a reconfigurable tool is based on the creation of functionals for the direct and inverse extreme quasistatic problems of forming details with consideration of contact conditions with equipment. An iterative method of determining the displacements of pins of the tool's matrices providing a given residual curvature of the panel is proposed. The problems are numerically solved by a finite element method in the framework of the MSC.Marc system. The convergence of the proposed iterative method is shown by an example of panel shaping.
Keywords: inverse forming problems, contact conditions, variational equations, convergence, finite element method, iterative method, multipoint forming.
Received: 21.06.2016
UDC: 517.97; 539.376
Language: Russian
Citation: K. S. Bormotin, S. V. Belykh, A. Vin, “Mathematical modeling of inverse multipoint forming problems in the creep mode using a reconfigurable tool”, Num. Meth. Prog., 17:3 (2016), 258–267
Citation in format AMSBIB
\Bibitem{BorBelVin16}
\by K.~S.~Bormotin, S.~V.~Belykh, A.~Vin
\paper Mathematical modeling of inverse multipoint forming problems in the creep mode using a reconfigurable tool
\jour Num. Meth. Prog.
\yr 2016
\vol 17
\issue 3
\pages 258--267
\mathnet{http://mi.mathnet.ru/vmp833}
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  • https://www.mathnet.ru/eng/vmp/v17/i3/p258
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Numerical methods and programming
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