Geodesic
Algorithm of motion on the parameter of rigidity in stability problem on the border of Winkler's mediums
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 124 (2011) no. 3, pp. 62-71

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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. 
E. I. Mikhailovskii; E. V. Tulubenskaya. Algorithm of motion on the parameter of rigidity in stability problem on the border of Winkler's mediums. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 124 (2011) no. 3, pp. 62-71. http://geodesic.mathdoc.fr/item/VSGTU_2011_124_3_a5/
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     title = {Algorithm of motion on the parameter of rigidity in stability problem on the border of {Winkler's} mediums},
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[1] Mikhailovskii E. I., Tulubenskaya E. V., “An algorithm for the local exhaustive search for alternatives in an essentially non-linear eigenvalue problem”, J. Appl. Math. Mech., 74:2 (2010), 214–222 | DOI | MR

[2] Vol'mir A. S., Stability of Deformable Systems, Nauka, Moscow, 1967, 984 pp.

[3] Mikhailovskii E. I., Tarasov V. N., “Constructive-nonlinear mechanics of plates and shells”, Vestn. Sykt. un-ta. Ser. 1. Mat. Meh. Inf., 2010, no. 12, 3–32