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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2009, Issue 2(19), Pages 269–274
DOI: https://doi.org/10.14498/vsgtu731 (Mi vsgtu731) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Short Communication
Mathematical Modelling

Implementation of dynamic elastic forms for plain structures approximation

S. A. Kolpashchikov, A. S. Ryazanov, A. A. Yudashkin

Dept. Automation and Control in Technical Systems, Samara State Technical University, Samara
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(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu731
Abstract: A solution for the problem of a given structure approximation by an arbitrary dimensional elastic model in a plane is proposed. The model is developed on the basis of a potential system with characteristics of elastic loop and self-organizing form with the state memory. It is demonstrated that the proposed model is able to fit the given structure as the self-assembling sub-optimal solution, preserving its form close to its initial or desired construction.
Keywords: nonlinear dynamics, structure approximation, combinatorial optimization, self-organization, dynamic memory.
Original article submitted 04/IX/2009
revision submitted – 02/XI/2009
Bibliographic databases:
Document Type: Article
UDC: 517.938
MSC: 37M05
Language: Russian
Citation: S. A. Kolpashchikov, A. S. Ryazanov, A. A. Yudashkin, “Implementation of dynamic elastic forms for plain structures approximation”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(19) (2009), 269–274
Citation in format AMSBIB
\Bibitem{KolRyaYud09}
\by S.~A.~Kolpashchikov, A.~S.~Ryazanov, A.~A.~Yudashkin
\paper Implementation of dynamic elastic forms for plain structures approximation
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2009
\vol 2(19)
\pages 269--274
\mathnet{http://mi.mathnet.ru/vsgtu731}
\crossref{https://doi.org/10.14498/vsgtu731}
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  • https://www.mathnet.ru/eng/vsgtu/v119/p269
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    Full-text PDF :114
    References:37
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