Abstract
A brief review of the results of investigation of the stability of the axisymmetrical strains of elastic shells of revolution is contained in [1, 2]. In [3] the problem was formulated and solved for a round shell, uniformly loaded along its hinged edge by a radial compressive force. Below, this problem is formulated for an arbitrary shell of revolution with a uniformly compressed hinged edge. Results of its solution are given for conical and spherical shells.
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L. M. Kurshin and L. I. Shkutin, “Statement of the problem of the local stability of shells of revolution,” Dokl. Akad. Nauk SSSR,206, No. 4 (1972).
L. M. Kurshin and L. I. Shkutin, “The problem of the elastic stability of a locally loaded cylindrical shell,” Prikl. Mat. Mekh.,36, No. 6 (1972).
L. M. Kurshin and L. I. Shkutin, “Supplement to The problem of the elastic stability of a locally loaded cylindrical shell,'” Prikl. Mat. Mekh.,38, No. 2 (1974).
E. Reisner, “On axisymmetrical deformations of thin shells of revolution,” in: Proceedings of the Third Symposium on Applied Mathematics, Vol. 3, American Mathematical Society (1950).
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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 6, pp. 98–103, November–December, 1975.
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Shkutin, L.I. Stability of nonlinear local axisymmetrical strains of shells of revolution. J Appl Mech Tech Phys 16, 918–922 (1975). https://doi.org/10.1007/BF00852822
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DOI: https://doi.org/10.1007/BF00852822