@article{VMUMM_2022_5_a5,
author = {S. D. Algazin and I. A. Selivanov},
title = {Free oscillations of an orthotropic conical shell},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {39--44},
year = {2022},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2022_5_a5/}
}
S. D. Algazin; I. A. Selivanov. Free oscillations of an orthotropic conical shell. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2022), pp. 39-44. http://geodesic.mathdoc.fr/item/VMUMM_2022_5_a5/
[1] Algazin S. D., Chislennye algoritmy bez nasyscheniya v klassicheskikh zadachakh matematicheskoi fiziki, 4-e izd., pererab., URSS, M., 2019
[2] Algazin S. D., h-matritsa, novyi matematicheskii apparat dlya diskretizatsii mnogomernykh uravnenii matematicheskoi fiziki, URSS, M., 2019
[3] Babenko K. I., Osnovy chislennogo analiza, Nauka, M., 1986; А. Д. Брюно (ред.), 2-е изд., испр. и доп., РХД, М.–Ижевск, 2002
[4] Orszag S.A, Gotlib D., Numerical Analysis of Spectral Methods. Theory and Applications, Society for Industrial and Applied Mathematics, Philadelphia, 1977 | MR
[5] Toselli A., Widlund O., Domain Decomposition Methods — Algorithms and Theory, Springer Series in Computational Mathematics, Springer-Verlag, Berlin–Heidelberg, 2005 | DOI | MR
[6] Schwab C., p and hp Finite Element Methods: Theory and Application to Solid and Fluid Mechanics, Oxford University Press, Oxford, 1998 | MR
[7] Schwab C., Suri M., Xenophontos C., The hp finite element method for problems in mechanics with boundary layers, Seminar fur Angewandte Mathematik Eidgenssische Technische Hochschule CH-8092. Research Report No 96-20, Zurich, Switzerland, 1996 | MR
[8] V.V. Bolotin (red.), Vibratsii v tekhnike: spravochnik. Kolebaniya lineinykh sistem, Mashinostroenie, M., 1978
[9] Tong L., “Free vibration of orthotropic conical shells”, Int. J. Engng. Sci., 31:5 (1993), 719–733 | DOI
[10] Tong L., Buckling and vibration of conical shells composed of composite materials, P.H.D. Thesis, Beijing Univ. of Aeronautics and Astronautics, People's Republic of China, 1988
[11] Goncharov V. L., Teoriya interpolirovaniya i priblizheniya funktsii, Gostekhteorizdat, M., 1954 | MR
[12] Gavrikov M. B., “Metody bez nasyscheniya v vychislitelnoi matematike”, Preprinty IPM im. M.V. Keldysha, 2019, 075
[13] Gavrikov M. B., Tayurskii A. A., Funktsionalnyi analiz i vychislitelnaya matematika, URSS, M., 2016