A numerical approach to the assessment of the critical stresses for imperfect ribbed shells is developed. Initial deflections occupying a part of the shell surface (they are circumferentially bounded) are considered. The couple stresses and nonlinearity of the precritical state are taken into account. Numerical examples are given
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References
I. Ya. Amiro and V. A. Zarutskii, Theory of Ribbed Shells, Vol. 2 of the five-volume series Methods of Shell Design [in Russian], Naukova Dumka, Kyiv (1973).
I. Ya. Amiro, P. S. Polyakov, and V. G. Palamarchuk, “Stability of cylindrical shells of imperfect shape,” Int. Appl. Mech., 7, No. 8, 838–842 (1971).
I. Ya. Amiro, V. A. Zarutskii, and P. S. Polyakov, Ribbed Cylindrical Shells [in Russian], Naukova Dumka, Kyiv (1973).
A. S. Vol’mir, Stability of Elastic Systems, NTIS US Department of Commerce, Virginia (1967).
A. N. Guz, Fundamentals of the Three-Dimensional Theory of Stability of Deformable Bodies [in Russian], Vyshcha Shkola, Kyiv (1986).
G. D. Gavrilenko, “Numerical algorithm for stability analysis of structurally orthotropic shells with arbitrary boundary conditions,” Gidroaeromekh. Teor. Uprug., 14, 131–138 (1972).
G. D. Gavrilenko, “Stability of imperfect cylindrical shells,” Dokl. AN USSR, Ser. A, No. 7, 523–528 (1979).
G. D. Gavrilenko, Stability of Ribbed Cylindrical Shells with an Inhomogeneous Stress–Strain State [in Russian], Naukova Dumka, Kyiv (1989).
G. D. Gavrilenko, S. S. Khalyuk, A. S. Sitnik, and A. A. Rudometkin, Algorithms and Programs for Strength and Stability Design of Ribbed Shells, Est. NIINTI, Tallinn (1990).
G. D. Gavrilenko, “Stability of smooth and ribbed shells of revolution in a nonuniform stress–strain state (survey),” Int. Appl. Mech., 31, No. 7, 501–520 (1995).
G. D. Gavrilenko, Stability of Ribbed Imperfect Shells [in Russian], Inst. Mat. NAN Ukrainy, Kyiv (1999).
G. D. Gavrilenko, Load-Bearing Capacity of Imperfect Shells [in Russian], Barviks, Dnepropetrovsk (2007).
G. D. Gavrilenko, A. S. Sitnik, and V. I. Matsner, “On lower-bound estimates of critical loads for cylindrical shells,” Int. Appl. Mech., 42, No. 10, 1145–1150 (2006).
G. D. Gavrilenko and V. I. Matsner, “Influence of axisymmetric dents in ribbed shells on minimum critical loads,” Int. Appl. Mech., 43, No. 5, 534–538 (2007).
L. P. Khoroshun, D. V. Babich, and E. N. Shikula, “Stability of convex shells of revolution made of particulate composites with physically nonlinear matrix and damageable inclusions,” Int. Appl. Mech., 44, No. 6, 653–661 (2008).
N. P. Semenyuk, V. M. Trach, and N. B. Zhukova, “Stability and initial postbuckling behavior of anisotropic cylindrical shells subject to torsion,” Int. Appl. Mech., 44, No. 1, 41–60 (2008).
V. M. Trach, “Stability of conical shells made of composites with one plane of elastic symmetry,” Int. Appl. Mech., 43, No. 6, 662–669 (2007).
V. M. Trach, “Stability of composite shells of revolution,” Int. Appl. Mech., 44, No. 3, 331–344 (2008).
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Translated from Prikladnaya Mekhanika, Vol. 46, No. 7, pp. 44–49, July 2010.
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Gavrilenko, G.D., Matsner, V.I. Effect of localized imperfections on the critical loads of ribbed shells. Int Appl Mech 46, 771–775 (2010). https://doi.org/10.1007/s10778-010-0366-5
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DOI: https://doi.org/10.1007/s10778-010-0366-5