On One Approach to the Calculation of Circular Cylindrical Shells
On One Approach to the Calculation of Circular Cylindrical Shells
DOI:
https://doi.org/10.22337/2077-9038-2026-3-129-133Keywords:
cylindrical shell, axisymmetric loading, elastic base, strip beamAbstract
The problem of calculating a cylindrical shell in the usual linear formulation is considered. The calculation of a circular cylindrical shell of constant thickness under osmometric loading by several different loads as a core system is given. For this purpose, a strip of unit width is used, cut from the shell, which is considered to be a beam on an elastic base with a known bed coefficient. The necessary conditions for such a choice are formulated. The calculation of the strip beam on an elastic base is carried out by the method of initial parameters of Professor V.A. Kiselyov.
The calculation results using this technique coincide with those available in the literature (Timoshenko, Boyarshinov, etc.). For a cylindrical shell, plots of internal forces and normal displacements MX, Q, W, TQ are constructed in the Matlab 6.1 computer environment under the influence of all loads. The accuracy of the shell calculation is achieved by the coefficient of deformation of the strip beam on an elastic base.
References
1. Власов, В.З. Тонкостенные пространственные системы / В.З. Власов ; изд. 2-е. М. : Стройгиз, 1958. 502 с.
Vlasov V.Z. Thin-Walled Spatial Systems. Ed. 2nd. Moscow, Stroygiz Publ., 1958. 502 p. (In Russ.)
2. Гольденвейзер, А.Л. Теория упругих тонких оболочек / А.Л. Гольденвейзер. М. : Наука, 1976. 512 с.
Goldenweiser A.L. Theory of Elastic Thin Shells. Moscow, Nauka Publ., 1976, 512 p. (In Russ.)
3. Новожилов, В.В. Теория тонких оболочек / В.В. Новожилов. Л. : Судпромгиз, 1952. 344 с.
Novozhilov V.V. Theory of Thin Shells . Leningrad, Sudpromgiz Publ., 1952. 344 p. (In Russ.)
4. Тимошенко, С.П. Пластинки и оболочки / С.П. Тимошенко, С. Войновский-Кригер. М. : Гос. изд. физ.-матем. лит., 1963. 635 с.
Timoshenko S.P., Voinovsky-Krieger S. Plates and Shells. Moscow, State Publishing House of Physical and Mathematical Literature, 1963. 635 p. (In Russ.)
5. Чернина, В.С. Статика тонкостенных оболочек вращения / В.С. Чернина. М. : Наука, 1968. 455 с.
Chernina V.S. Statics of Thin-Walled Shells of Revolution. Moscow, Nauka Publ., 1968. 455 p. (In Russ.)
6. Vinson, J.R. (1989). Cylindrical Shells / J.R. Vinson // The Behavior of Thin Walled Structures: Beams, Plates, and Shells. Mechanics of Surface Structures, 1989, vol 8.
Vinson J.R. Cylindrical Shells. In: The Behavior of Thin Walled Structures: Beams, Plates, and Shells. Mechanics of Surface Structures, 1989, vol 8. (In Engl.)
7. Reissner, E. On Asymptotic Expansions for Circular Cylindrical Shells / E. Reissner // J. Appl. Mech., 1964. Vol. 31. P. 245–252.
Reissner E. On Asymptotic Expansions for Circular Cylindrical Shells. In: J. Appl. Mech., 1964, Vol. 31, pp. 245–252. (In Engl.)
8. Абазов, А.Б. Расчёт цилиндрической оболочки как балки на упругом основании / А.Б. Абазов // Сборник научных трудов КБГСХА. Нальчик, 1998. Вып. 1. С. 36–42.
Abazov A.B. Calculation of a Cylindrical Shell as a Beam on an elastic Foundation. In: Collection of Scientific Works of the KBGSHA. Nalchik, 1998. Iss. 1. P. 36–42. (In Engl.)
9. Курс сопротивления материалов / М.М. Филоненко-Бородич, С.М. Изюмов [и др.]. М. : Гос. изд. техн.-теор. лит., 1955. 644 с.
Filonenko-Borodiсh M.M., Izyumov S.M. et al. Course on Strength of Materials. Moscow, State Publishing House of Technical and Theoretical Literature, 1955, 644 p. (In Russ.)
10. Киселёв, В.А. Балки и рамы на упругом основании / В.А. Киселёв. М. – Л. : ОНТИ, 1936. 228 с.
Kiselev V.A. Beams and Frames on an Elastic Base. Moscow – Leningrad, ONTI Publ., 1936. 228 p. (In Russ.)
11. Бояршинов, С.В. Основы строительной механики машин / С.В. Бояршинов. М. : Машиностроение, 1973. 454 с.
Boyarshinov S.V. Fundamentals of Structural Mechanics of Machines. Moscow, Mashinostroenie Publ., 1973. 454 p. (In Russ.)
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