Implementation of dynamic elastic forms for plain structures approximation
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2009), pp. 269-274.

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
@article{VSGTU_2009_2_a34,
     author = {S. A. Kolpashchikov and A. S. Ryazanov and A. A. Yudashkin},
     title = {Implementation of dynamic elastic forms for plain structures approximation},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {269--274},
     publisher = {mathdoc},
     number = {2},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2009_2_a34/}
}
TY  - JOUR
AU  - S. A. Kolpashchikov
AU  - A. S. Ryazanov
AU  - A. A. Yudashkin
TI  - Implementation of dynamic elastic forms for plain structures approximation
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2009
SP  - 269
EP  - 274
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2009_2_a34/
LA  - ru
ID  - VSGTU_2009_2_a34
ER  - 
%0 Journal Article
%A S. A. Kolpashchikov
%A A. S. Ryazanov
%A A. A. Yudashkin
%T Implementation of dynamic elastic forms for plain structures approximation
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2009
%P 269-274
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGTU_2009_2_a34/
%G ru
%F VSGTU_2009_2_a34
S. A. Kolpashchikov; A. S. Ryazanov; A. A. Yudashkin. Implementation of dynamic elastic forms for plain structures approximation. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2009), pp. 269-274. http://geodesic.mathdoc.fr/item/VSGTU_2009_2_a34/

[1] Forbes A., “Surface fitting taking into account uncertainty structure in coordinate data”, Meas. Sci. Technol., 17 (2006), 553–558 | DOI

[2] Lasker K., Topf M., Sali A., Wolfson H. J., “Inferential optimization for simultaneous fitting of multiple components into a CryoEM map of their assembly.”, J. Mol. Biol., 388:1 (2009), 180–194 | DOI

[3] Geri M., Dzhonson D., Vychislitelnye mashiny i trudnoreshaemye zadachi, Mir, M., 1982, 416 pp. | MR

[4] Durbin R., Willshaw D. J., “An analogue approach to the traveling salesman problem using an elastic net method”, Nature, 326 (1987), 689–691 | DOI

[5] Saitou K., Jakiela M. J., “On Classes of One-dimensional Self-assembling Automata”, Complex Systems, 10:6 (1998), 391–416 | MR

[6] Yudashkin A. A., “Sintez samoorganizuyuschikhsya sistem, zapominayuschikh i vosstanavlivayuschikh neskolko sobstvennykh konfiguratsii v trekhmernom prostranstve”, Mekhatronika, avtomatizatsiya i upravlenie, 2005, no. 1, 7–11

[7] Yudashkin A. A., “O podkhode k postroeniyu transformiruyuschikhsya sistem s neskolkimi ustoichivymi sostoyaniyami”, Differentsialnye uravneniya i ikh prilozheniya, Mezhvuz. sb. nauch. tr., No 1, Samara, 2002, 64–68