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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.], 2011 Issue 3(24), Pages 62–71 (Mi vsgtu843)

This article is cited in 2 papers

Mechanics of Solids

Algorithm of motion on the parameter of rigidity in stability problem on the border of Winkler's mediums

E. I. Mikhailovskii, E. V. Tulubenskaya

Dept. of Mathematical Model and Cybernetics, Syktyvkar State University, Faculty of Mathematics, Syktyvkar

Abstract: To solve the stability problem of one-dimensional elements of construction on the border of different elastic ambiences the algorithm of motion on the parameter of one ambience is suggested. Evolution of triple half-wave eigenform of longitudinal compressed rod is studied according to S. P. Timoshenko model's using boundary conditions of articulate and rigid fixing.

Keywords: stability, spectral problem, brute-force search.

UDC: 539.3

MSC: Primary 74H15; Secondary 74G60, 74B20

Original article submitted 07/XI/2010
revision submitted – 17/VIII/2011

DOI: 10.14498/vsgtu843



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