Abstract
Static problems for thin isotropic smooth and locally reinforced cylindrical shells subjected to local loads with complex boundary conditions are examined using the linear theory. The stress-strain state of a casing is determined by the technical theory of shells, while the stress-strain state of its ribs is determined by the Kirchhoff-Klebsch theory of rods. Stiffening elements are applied eccentrically and may have the same or different stiffnesses. Stiffness may also change along a given element Regular and irregular arrangements of stiffening elements are used. Shells of minimum weight are also examined. The problems are solved by the finite differences method. The reliability of the results is demonstrated by comparison with experimental data and numerical results obtained with a denser grid. The goal of these investigations is to determine qualitative and quantitative characteristics of the stress and strain distributions, as well as to establish corresponding distribution laws that could be used to predict solutions for other shells based on assigned parameters without the need for calculations.
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References
I. Ya. Amiro and V. A. Zarutskii,Theory of Ribbed Shells [in Russian], Nauk. Dumka, Kiev (1980).
V. Z. Vlasov,General Theory of Shells [in Russian], Gostekhizdat, Moscow-Leningrad (1949).
Ya. M. Grigorenko and V. P. Maksimenko, “Stress-strain state of smooth and ribbed cylindrical shells under local loads,”Dopov. Akad. Nauk Ukr. RSR Ser. A, No. 3, 22–25 (1982).
M. I. Dlugach, P. S. Polyakov, and V. P. Maksimenko, “Study of the strength of cylindrical shells loaded by longitudinal forces,”Prikl. Mekh.,4, No. 4, 25–34 (1968).
B. Ya. Kantor, S. N. Kataryanov, and V. V. Ofii,Theory of Shells Reinforced by Stiffening Ribs [in Russian], In-t Probl. Mashinostreniya AN SSSR, Moscow (1982). Preprint No. 167.
V. P. Maksimenko, “Analysis of the stress-strain state of smooth cylindrical shells under local loads,”Prikl. Mekh.,25, No. 3, 24–31 (1989).
V. P. Maksimenko, “Study of the strength of discretely reinforced shells under local loads,”Prikl. Mekh.,26, No. 5, 69–75 (1990).
A. I. Manevich,Stability and Optimum Design of Reinforced Shells [in Russian], Vishcha Shk., Kiev-Donetsk (1979).
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Translated from Prikladnaya Mekhanika, Vol. 34, No. 12, pp. 55–61, December, 1998.
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Maksimenko, V.P. Analysis of static problems for smooth and ribbed cylindrical shells under complex mechanical loads. Int Appl Mech 34, 1226–1232 (1998). https://doi.org/10.1007/BF02700877
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DOI: https://doi.org/10.1007/BF02700877