Geodesic
Analytical algorithm of construction and research of the mathematical model of nonlinear deformations of the earth bases of the bases
Problemy fiziki, matematiki i tehniki, no. 4 (2012), pp. 78-82.

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In the paper soil are considered as nonlinear-deformable firm bodies. Law of deformation process corresponds to an approximating curve of parabolic type. Features of approximating function in the present work are used for definition of parameters of the equation of deformation process. The algorithm of construction and research of mathematical model of system of the nonlineardeformable earth basis are developed on the basis of the principle of a minimum of full energy of a system and a power linearization method.
Keywords: deformations soil, nonlinear mathematical models, algorithm of construction and research of models. 
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     title = {Analytical algorithm of construction and research of the mathematical model of nonlinear deformations of the earth bases of the bases},
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V. E. Bykhautsau; V. V. Bondareva; D. V. Prokopenko; S. V. Torgonskaya. Analytical algorithm of construction and research of the mathematical model of nonlinear deformations of the earth bases of the bases. Problemy fiziki, matematiki i tehniki, no. 4 (2012), pp. 78-82. http://geodesic.mathdoc.fr/item/PFMT_2012_4_a15/

[1] V. Z. Parton, P. I. Perlin, Metody matematicheskoi teorii uprugosti, Nauka, M., 1981, 688 pp. | MR

[2] V. E. Bykhovtsev, Kompyuternoe ob'ektno-orientirovannoe modelirovanie nelineinykh sistem deformiruemykh tverdykh tel, UO «GGU im. F. Skoriny», Gomel, 2007, 219 pp.

[3] O. Zenkevich, Metod konechnykh elementov v tekhnike, Mir, M., 1975, 540 pp.

[4] M. A. Zhuravkov, Matematicheskoe modelirovanie deformatsionnykh protsessov v tverdykh deformiruemykh sredakh, BGU, Mn., 2002, 456 pp.

[5] N. A. Tsytovich, Mekhanika gruntov, Stroiizdat, M., 1963, 542 pp.

[6] M. I. Nikitenko, Buroin'ektsionnye ankery i svai pri vozvedenii i rekonstruktsii zdanii i sooruzhenii, BNTU, Mn., 2007, 580 pp.