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Numerical methods and programming, 2024, Volume 25, Issue 2, Pages 238–245
DOI: https://doi.org/10.26089/NumMet.v25r218 (Mi vmp1120) 		 
Methods and algorithms of computational mathematics and their applications

A method for refining the numerical solution to the problem of optimizing the kinematic scheme for forming panels

K. S. Bormotin

Komsomolsk-on-Amur State University, Komsomolsk-on-Amur, Russia
Full-text PDF (826 kB)
DOI: https://doi.org/10.26089/NumMet.v25r218
Abstract: When solving optimal control problems of the solids deformation according to the general scheme of the dynamic programming method, significant computing resources are required. To reduce the calculation time, it is proposed to refine the rough solution obtained using the dynamic programming scheme using the wandering tube method. Using the software implementation of this algorithm, numerical solutions for the optimal bending of the plate in creep mode were obtained, which were compared with analytical data.
Keywords: creep, shaping, damage, finite element method, optimal control problem, dynamic programming method.
Funding agency Grant number
Russian Science Foundation 21–11–00165
The work was supported by the Russian Science Foundation (grant No. 21–11–00165).
Received: 31.10.2023
Accepted: 08.05.2024
Document Type: Article
UDC: 519.853.6
Language: Russian
Citation: K. S. Bormotin, “A method for refining the numerical solution to the problem of optimizing the kinematic scheme for forming panels”, Num. Meth. Prog., 25:2 (2024), 238–245
Citation in format AMSBIB
\Bibitem{Bor24}
\by K.~S.~Bormotin
\paper A method for refining the numerical solution to the problem of optimizing the kinematic scheme for forming panels
\jour Num. Meth. Prog.
\yr 2024
\vol 25
\issue 2
\pages 238--245
\mathnet{http://mi.mathnet.ru/vmp1120}
\crossref{https://doi.org/10.26089/NumMet.v25r218}
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