Abstract
An approach is proposed to approximate numerical analysis of the stress state of a geometrically nonlinear cylindrical shell under an unsymmetric load. An approximate technique is also proposed to reduce the solution of a two-dimensional nonlinear problem of a cylindrical shell with unsymmetric parameters to the solution of axisymmetric problems. A numerical example is considered.
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R. Bellman and R. Calaba, Quasilinearization and Nonlinear Boundary-Value Problems [Russian translation], Mir, Moscow (1968).
S. K. Godunov, “On numerical solution of boundary-value problems for systems of linear ordinary differential equations,” Usp. Mat. Nauk,16, No. 3, 171–174 (1961).
Ya. M. Grigorenko, N. N. Kryukov, and Kh. Saparov, “Numerical solution of two-dimensional boundary-value problems of the statics of flexible conincal shells,” Dokl. AN UkrSSR, Ser. A, No. 2, 29–32 (1983).
Ya. M. Grigorenko, A. T. Vasilenko, E. I. Bespalova, et al., Numerical Solution of Orthotropic Shells with Variable Parameters [in Russian], Naukova Dumka, Kiev (1975).
V. V. Novozhilov, Theory of Thin Shells [in Russian], Sudpromgiz, Leningrad (1962).
Kh. Saparov, L. V. Mol'chenko, and I. I. Loos, “Numerical solution of the strain problem for flexible conical and cylindrical shells of variable thickness,” Proc. 3rd Ukrainian Conf. on Computational Mathematics and Modern Scientific-Technical Progress [in Russian], Kanev (1982), pp. 153–154.
L. S. Shapovalov, “A simple variant of the equations of geometrically nonlinear theory of thin shells,” Mekh. Tverd. Tela, No. 1, 56–62 (1968).
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Translated from Vychislitel'naya i Prikladnaya Matematika, No. 58, pp. 61–66, 1986.
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Loos, I.I. A simplified approach to estimating the stress state of flexible cylindrical shells under nonaxisymmetric load. J Math Sci 58, 439–442 (1992). https://doi.org/10.1007/BF01100070
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DOI: https://doi.org/10.1007/BF01100070