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, no. 3 (2011), 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. 
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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, no. 3 (2011), pp. 62-71. http://geodesic.mathdoc.fr/item/VSGTU_2011_3_a5/

[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