Literature Cited
A. S. Avdonin, “The limits within which Papkovich's formula can be used,” Inzh. Sb.,22 (1955).
N. A. Alfutov, “The relation between the value of the upper critical pressure of a cylindrical shell and the boundary conditions for tangential displacement components,” Proceedings of the Fourth All-Union Conference on the Theory of Shells and Plates (Erevan, 1962) [in Russian], Izd-vo AN ArmSSR (1964).
L. V. Andreev and N. I. Obodan, “The experimental investigation of the stability of cylindrical shells under nonuniform pressure,” Proceedings of the Sixth All-Union Conference on the Theory of Shells and Plates (Baku, 1966) [in Russian], Izd-vo Nauka, Moscow (1966).
A. A. Bushtyrkov, “The use of Lagrange multipliers to investigate the stability of plates and shells,” Proceedings of the Fourth All-Union Conference on the Theory of Shells and Plates (Erevan, 1962) [in Russian], Izd-vo ArmSSR (1964).
V. A. Zyuzin, “The effects of the conditions of attachment for the ends of a shell on the critical external pressure,” Proceedings of the Sixth All-Union Conference on the Theory of Shells and Plates (Baku, 1966) [in Russian], Izd-vo Nauka, Moscow (1966).
T. D. Karimbaev, “The stability of conical and cylindrical shells under combined axial compression and external pressure,” Inzh. Zh.,4, No. 3 (1964).
V. M. Kornev, “The stability of a circular cylindrical shell under transverse external pressure, taking account of the edge effect,” Inzh. Zh., Mekhan. Tverd. Tela, No. 3 (1967).
S. N. Kukudzhanov, “The stability of cylindrical shells under variable pressure,” Inzh. Zh.,4, No. 3 (1964).
Kh. M. Mushtari and K. Z. Galimov, The Nonlinear Theory of Elastic Shells [in Russian], Tatknigoizdat, Kazan' (1957).
P. V. Myursepp, “The determination of the critical load of conical and cylindrical shells,” Proceedings of the Fourth All-Union Conference on the Theory of Shells and Plates (Erevan, 1962) [in Russian], Izd-vo ArmSSR (1964).
V. I. Myachenkov, “The stability of orthotropic shells of rotation under axisymmetric loads,” Inzh. Zh., Mekhan. Tverd. Tela, No. 1 (1968).
O. M. Palii, “The stability of a circular cylindrical shell restrained at its curvilinear edges,” Izv. Akad. Nauk SSSR Otd. Tekh. Nauk, No. 1 (1958).
P. F. Papkovich, Papers on the Stability of a Ship [in Russian], Part II, Sudpromgiz, Leningrad (1956).
A. V. Sachenkov, “The stability of a cylindrical shell with arbitrary boundary conditions under uniform transverse pressure,” Izv. Kazansk. Filiala AN SSSR, Seriya Fiz.-Matem. i Tekhn. Nauk,127, No. 12 (1958).
Yu. M. Khishchenko, “The stability of a cylindrical shell under uniform external pressure with various attachment conditions,” Inzh. Zh., Mekhan. Tverd. Tela, No. 3 (1967).
P. P. Bijlaard, “Buckling stress of thin cylindrical clamped shells subject to hydrostatic pressure,” J. Appl. Spectr.,21, No. 12 (1954).
R. Lorents, “Die nicht achsensymmetrische knickung dunnwandiger Hohlzylinder,” Physikalische Zeitschrift,12, No. 7 (1911).
R. V. Mises, “Der kritische Aussendruck zylindrischer Rohre,” Zeitschrift des Versines der Deutsch Ingenieure,58 (1914).
R. V. Mises, “Der kritische Aussendruck fur allselts belastete zylindrische Rohre,” Festschrift A. Stodola, Zurich (1929).
W. A. Nash, “Buckling of thin cylindrical shells subject to hydrostatic pressure,” J. Appl. Spectr.,21, No. 12 (1954).
J. Serpico, “Elastic stability of orthotropic conical and cylindrical shells subject to axisymmetric conditions,” AIAA J.,1, No. 1 (1963).
L. H. Sobel, “Effect of boundary conditions on the stability of cylinders subject to lateral and axial pressure,” AIAA J.,2, No. 8 (1964).
V. J. Weingarten, “Buckling of cylindrical shells under linear loading,” J. Appl. Mechan.,28, No. 11 (1961).
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Translated from Prikladnaya Mekhanika, Vol. 6, No. 1, pp. 27–33, January, 1970.
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Myachenkov, V.I. The stability of cylindrical shells under axisymmetric transverse pressure. Soviet Applied Mechanics 6, 19–23 (1970). https://doi.org/10.1007/BF00887896
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DOI: https://doi.org/10.1007/BF00887896