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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.], 2010 Issue 5(21), Pages 96–104 (Mi vsgtu802)

This article is cited in 9 papers

Mechanics of Solids

Reinforcement of Planar Structures along Orthogonal Curvilinear Trajectories

Yu. V. Nemirovskya, N. A. Feodorovab

a Lab. of Fast Processes Physic, Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Dept. of Applied Mathematics and Computer Security, Institute of Space and Information Technologies, Siberian Federal University, Krasnoyarsk

Abstract: The resolving equations for linear orthotropic non-homogeneous elasticity problem, including the deformation compatibility equation, are obtained in cases of bipolar, elliptic, parabolic, hyperbolic and cardioidal coordinate systems for planar constructions extreme deformations detection in the context of planar problem. The type of obtained partial differential equations system for deformations tenser components is examined using the determinantal method.

Keywords: reinforcement, structural model, curvilinear trajectories.

UDC: 539.3+539.4

MSC: 74A40, 74K20

Original article submitted 25/VI/2010
revision submitted – 20/IX/2010

DOI: 10.14498/vsgtu802



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