Geodesic
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

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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/}
}
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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/