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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1979, Volume 19, Number 4, Pages 866–877 (Mi zvmmf5387)  
This article is cited in 9 scientific papers (total in 9 papers)

Optimal control of the natural frequency of a plate of variable thickness

V. G. Litvinov

Kiev
Full-text PDF (1217 kB) Citations (9)
Abstract: Plate shape optimization is considered, such that the fundamental frequency of the plate is a maximum for given lower and upper bounds on the weight and thickness of the plate. The existence of an optimal control is proved, and the solutions of the appropriate finite-dimensional problems are shown to be convergent to the solution of the initial infinite-dimensional optimal control problem.
Received: 30.05.1978
Revised: 23.11.1978
English version:
USSR Computational Mathematics and Mathematical Physics, 1979, Volume 19, Issue 4, Pages 70–86
DOI: https://doi.org/10.1016/0041-5553(79)90157-5
Bibliographic databases:
Document Type: Article
UDC: 517.977.56
MSC: Primary 93C20; Secondary 74K20
Language: Russian
Citation: V. G. Litvinov, “Optimal control of the natural frequency of a plate of variable thickness”, Zh. Vychisl. Mat. Mat. Fiz., 19:4 (1979), 866–877; U.S.S.R. Comput. Math. Math. Phys., 19:4 (1979), 70–86
Citation in format AMSBIB
\Bibitem{Lit79}
\by V.~G.~Litvinov
\paper Optimal control of~the natural frequency of~a~plate of~variable thickness
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1979
\vol 19
\issue 4
\pages 866--877
\mathnet{http://mi.mathnet.ru/zvmmf5387}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=544750}
\zmath{https://zbmath.org/?q=an:0413.93045}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1979
\vol 19
\issue 4
\pages 70--86
\crossref{https://doi.org/10.1016/0041-5553(79)90157-5}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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