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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2015, Volume 157, Book 3, Pages 122–136 (Mi uzku1328)  
Variational approaches to optimal control design for elastic body motions

V. V. Saurin, G. V. Kostin

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow, Russia
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Abstract: Variational and projection statements of an initial-boundary value problem for the direct and inverse dynamics of elastic bodies are proposed. An optimal control problem of 3D linear elastic motions for rectilinear beams with the rectangular cross section is studied. Based on the generalized formulations, a numerical algorithm is developed to design the optimal displacement of such elastic beams. The results of numerical simulation and quality analysis are presented and discussed.
Keywords: optimal control, dynamics, linear theory of elasticity, variational principles, semi-discretization.
Received: 15.06.2015
Bibliographic databases:
Document Type: Article
UDC: 517.977.58+539.3
Language: Russian
Citation: V. V. Saurin, G. V. Kostin, “Variational approaches to optimal control design for elastic body motions”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 157, no. 3, Kazan University, Kazan, 2015, 122–136
Citation in format AMSBIB
\Bibitem{SauKos15}
\by V.~V.~Saurin, G.~V.~Kostin
\paper Variational approaches to optimal control design for elastic body motions
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2015
\vol 157
\issue 3
\pages 122--136
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1328}
\elib{https://elibrary.ru/item.asp?id=23938224}
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