Abstract
The article deals with the problem of stability of an infinitely long cylindrical shell, on which absolutely flexible threads are wound under tension, compressing the shell so that it can lose stability. Using the equations of the nonlinear theory of shells, an exact solution is obtained that determines the critical tension of the threads. It has been established that the critical tension is determined by a universal formula that includes the radius and flexural rigidity of the shell. Using the concept of continuing loading, the obtained solution is generalized to the case of an elastic-plastic shell material. The problem of pressure on an elastic shell by layers of elastic threads wound with tension is considered. The solution is compared with the results of an experiment carried out on shells made of steel, aluminum and thermoplastic.
Similar content being viewed by others
REFERENCES
V. V. Vasiliev and N. G. Moroz, Composite Pressure Cylinders - Design, Calculation, Manufacturing and Testing (Mashinostroenie, Moscow, 2015) [in Russian].
V. I. Fedosyev, Selected Problems and Questions in Strength of Materials (Gostekhizdat, Moscow, 1973; Beekman Books Inc., 1977).
H. Langhaar, A. Boresi, L. Marcus, and G. Love, “Buckling of a long fiber-wound cylindrical shell due to stresses caused by winding,” J. Appl. Mech. Ser. E. 32 (1), 81–86 (1965). https://doi.org/10.1115/1.3625789
V. S. Postoev, “On the theory of stability of a prestressed cylindrical shell,” in Strength of Hydraulic Turbines, Proc. of TsKTI, Vol. 72 (TsKTI, Leningrad, 1966), pp. 3–12 [in Russian].
V. V. Vasiliev and V. A. Salov, “Stability of an infinitely long cylindrical shell loaded with external pressure created by a rigid external environment,” Mech. Solids 56, 513–522 (2021). https://doi.org/10.3103/S0025654421040166
V. V. Vasiliev, Mechanics of Structures Made of Composite Materials (Mashinostroenie, Moscow, 1988) [in Russian].
E. Kamke, Handbook of Ordinary Differential Equations (Fizmatgiz, Moscow, 1961) [in Russian].
A. S. Volmir, Stability of Deformable Systems (Nauka, Moscow, 1967) [in Russian].
V. V. Vasiliev, “Elastoplastic deformations of metal pressure vessels reinforced with unidirectional glass-reinforced plastic,” Polymer Mech. 5, 953–958 (1969). https://doi.org/10.1007/BF00864678
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by I. K. Katuev
About this article
Cite this article
Vasiliev, V.V., Salov, V.A. & Skleznev, A.A. Stability of an Infinitely Long Cylindrical Shell under the Action of External Pressure Created by Winding Flexible Filaments. Mech. Solids 57, 1330–1337 (2022). https://doi.org/10.3103/S0025654422060292
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S0025654422060292