Keywords: shaft torsion, boundary problems, harmonic function, numerical method, regularization procedure, computer program.
@article{VTGU_2009_4_a9,
author = {V. V. Sobolev},
title = {Numerical method of stable solution of {S.-Venant} problem of shaft torsion},
journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
pages = {98--111},
year = {2009},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTGU_2009_4_a9/}
}
TY - JOUR AU - V. V. Sobolev TI - Numerical method of stable solution of S.-Venant problem of shaft torsion JO - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika PY - 2009 SP - 98 EP - 111 IS - 4 UR - http://geodesic.mathdoc.fr/item/VTGU_2009_4_a9/ LA - ru ID - VTGU_2009_4_a9 ER -
V. V. Sobolev. Numerical method of stable solution of S.-Venant problem of shaft torsion. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 4 (2009), pp. 98-111. http://geodesic.mathdoc.fr/item/VTGU_2009_4_a9/
[1] Timoshenko S.P., Guder Dzh., Teoriya uprugosti, Nauka, M., 1975, 576 pp.
[2] Kufarev P.P., “K voprosu o kruchenii i izgibe sterzhnei poligonalnogo secheniya”, PMM, 1:1 (1937), 43–76 | Zbl
[3] Arutyunyan N.Kh., Abramyan B.L., Kruchenie uprugikh tel, Fizmatgiz, M., 1963, 688 pp.
[4] Novatskii V., Teoriya uprugosti, Nauka, M., 1975, 872 pp.
[5] Muskhelishvili N.I., Nekotorye osnovnye zadachi matematicheskoi teorii uprugosti, Nauka, M., 1966, 708 pp. | Zbl
[6] Pozharskii D.A., “Smeshannye zadachi teorii uprugosti dlya sostavnogo ploskogo klina”, Izv. vuzov. Sev.-Kavk. region. Estestv. nauki, 2008, no. 5, 36–38
[7] Mikhlin S.G., Variatsionnye metody v matematicheskoi fizike, Nauka, M., 1970, 512 pp. | Zbl
[8] Brebbiya K., Telles Zh., Vroubel L., Metody granichnykh elementov, Mir, M., 1987, 524 pp.
[9] Krauch S., Starfild A., Metody granichnykh elementov v mekhanike tvërdogo tela, Mir, M., 1987, 328 pp.
[10] Gromadka T., Lei Ch., Kompleksnyi metod granichnykh elementov v inzhenernykh zadachakh, Mir, M., 1990, 303 pp.
[11] Walsh J.L., “Ueber die Entwickelung einer analytischen Function nach Polynomen”, Munchen. Math. Ann., 96 (1926/27), 430–436 | DOI | Zbl
[12] Tikhonov A.N., Arsenin V.Ya., Metody resheniya nekorrektnykh zadach, Nauka, M., 1979, 288 pp.
[13] Sobolev V.V., Ischenko N.V., Chislennoe integrirovanie. Metodicheskie ukazaniya k laboratornoi rabote s ispolzovaniem EVM, RGASKhM, Rostov n/D, 1999, 28 pp.
[14] Sobolev V.V., Programmy chislennogo resheniya zadachi Sen-Venana o kruchenii sterzhnya proizvolnogo secheniya (programmnyi kompleks dlya EVM), Zaregistrir. GOFAP (VNTITs), No 50200802492, RGASKhM, Rostov n/D, 2008, 22 pp.