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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2009 Issue 2(19), Pages 269–274 (Mi vsgtu731)

This article is cited 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

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.

UDC: 517.938

MSC: 37M05

Original article submitted 04/IX/2009
revision submitted – 02/XI/2009

DOI: 10.14498/vsgtu731



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