Abstract
The stability problem of a cylindrical shell of oval cross section loaded by a bending moment and internal pressure is studied. The variational displacement finite-element method is used. For the prebuckling stress-strain state, the bending and nonlinearity are taken into account. The effects of the nonlinear nature of the deformation and the cross-sectional ovality of the shells on the critical loads and buckling modes are determined.
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L. P. Zheleznov and V. V. Kabanov, “Finite element and algorithm for studying the nonlinear deformation and stability of noncircular cylindrical shells,” in: Applied Problems of Mechanics of Thin-Walled Structures [in Russian], Izd. Mosk. Univ., Moscow (2000), pp. 120–127.
L. P. Zheleznov and V. V. Kabanov, “Nonlinear deformation and stability of noncircular cylindrical shells under internal pressure and axial compression,” J. Appl. Mech. Tech. Phys., 43, No. 4, 617–621 (2002).
V. V. Kabanov, Stability of Heterogeneous Cylindrical Shells [in Russian], Mashinostroenie, Moscow (1982).
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 47, No. 3, pp. 119–125, May–June, 2006.
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Zheleznov, L.P., Kabanov, V.V. & Boiko, D.V. Nonlinear deformation and stability of oval cylindrical shells under pure bending and internal pressure. J Appl Mech Tech Phys 47, 406–411 (2006). https://doi.org/10.1007/s10808-006-0070-8
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DOI: https://doi.org/10.1007/s10808-006-0070-8