Geodesic
An Approximate Analytical Method for Studying Deformations of Spatial Curvilinear Beams
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 3, pp. 97-111
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The article proposes an analytical method for elastic analysis of curvilinear beams of double curvature. The method is based on initial parameters and is suitable for arbitrary turning angles and deflections.
Keywords: elasticity, double curvature, initial parameter, big deflections. 
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     title = {An {Approximate} {Analytical} {Method} for {Studying} {Deformations} of {Spatial} {Curvilinear} {Beams}},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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Yu. P. Artyukhin. An Approximate Analytical Method for Studying Deformations of Spatial Curvilinear Beams. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 3, pp. 97-111. http://geodesic.mathdoc.fr/item/UZKU_2012_154_3_a9/

[1] Lyav A., Matematicheskaya teoriya uprugosti, ONTI, M.–L., 1935, 674 pp.

[2] Lure A. I., “O malykh deformatsiyakh krivolineinykh sterzhnei”, Trudy Leningr. politekhn. in-ta, 1941, no. 3, 148–157

[3] Popov E. P., Nelineinye zadachi statiki tonkikh sterzhnei, OGIZ, M.–L., 1948, 170 pp.

[4] Svetlitskii V. A., Mekhanika gibkikh sterzhnei i nitei, Mashinostroenie, M., 1978, 222 pp.

[5] Svetlitskii V. A., Mekhanika sterzhnei, v. 1, Statika, Vyssh. shk., M., 1987, 320 pp.

[6] Svetlitskii V. A., Mekhanika sterzhnei, v. 2, Dinamika, Vyssh. shk., M., 1987, 304 pp.

[7] Ponomarev S. D., Biderman V. L., Likharev K. K., Makushin V. M., Malinin N. N., Feodosev V. I., Raschety na prochnost v mashinostroenii, v. 3, Mashgiz, M., 1959, 1118 pp.

[8] Filin A. P., Prikladnaya mekhanika tverdogo deformiruemogo tela, v. 2, Nauka, M., 1973, 616 pp.

[9] Tovstik P. E., “Asimptoticheskii metod integrirovaniya kolebanii pruzhin”, Vestn. LGU. Matematika, mekhanika, astronomiya, 1962, no. 27, 119–134

[10] Polischuk D. F., Obobschennaya teoriya tsilindricheskikh pruzhin, Udmurt. gos. un-t, Izhevsk, 1992, 209 pp.

[11] Artyukhin Yu. P., Stroitelnaya mekhanika v paketakh “MATHEMATICA” i “ANSYS”, Kazan. gos. un-t, Kazan, 2009, 120 pp.

[12] Timoshenko S. P., Kurs teorii uprugosti, Naukova dumka, Kiev, 1972, 508 pp.

[13] Lure A. I., Nelineinaya teoriya uprugosti, Nauka, M., 1980, 512 pp.

[14] Golovanov A. I., Pesoshin A. V., Tyuleneva O. N., Sovremennye konechno-elementnye modeli i metody issledovaniya tonkostennykh konstruktsii, Kazan. gos. un-t, Kazan, 2005, 440 pp.