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Num. Meth. Prog., 2016, Volume 17, Issue 3, Pages 258–267 (Mi vmp833)  

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

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.

Full text: PDF file (446 kB)
UDC: 517.97; 539.376
Received: 21.06.2016

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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