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Literature Cited
A. L. Gol'denveizer, “Qualitative analysis of the free vibrations of an elastic thin shell,” Prikl. Matem. i Mekh., 30, No. 1 (1966).
V. S. Gontkevich, Natural Vibrations of Plates and Shells (Handbook) [in Russian], Naukova Dumka, Kiev (1964).
A. I. Likhoded and A. A. Malinin, “Vibrations of reinforced shells of revolution with lumped masses and oscillators,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 1 (1971).
V. I. Medvedev and V. I. Myachenkov, “Nonsymmetric vibrations of shells of revolution,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 2 (1971).
O. D. Oniashvili, Some Dynamical Problems of Shell Theory [in Russian], Izd. Akad. Nauk SSSR, Moscow (1957).
I. A. Birger and Ya. G. Panovko (editors), Strength, Stability, Vibrations. Handbook in Three Volumes [in Russian], Vol. 3, Mashinostroenie, Moscow (1968).
L. I. Sedov, Similarity and Dimensional Analysis Methods in Mechanics [in Russian], Nauka, Moscow (1966).
A. P. Filippov, “Viorations of cylindrical shells,” Prikl. Matem. i Mekh.1, No. 2 (1937).
Yu. Yu. Shveiko and A. D. Brusilovskii, “On the natural vibrations of cylindrical shells reinforced by transverse stiffener ribs,” Strength Analyses [in Russian], No. 15, Mashinostroenie, Moscow (1971).
K. Forsberg, “Influence of boundary conditions on the modal characteristics of thin cylindrical shells,” AIAA Journal,2, No. 12 (1964).
G. B. Warburton, “Vibration of thin cylindrical shells,” J. Mech. Eng. Sci.,7, No. 4 (1965).
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Translated from Prikladnaya Mekhanika, Vol. 9, No. 2, pp. 25–31, February, 1973.
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Likhoded, A.I., Malinin, A.A. On approximate dependences for the vibration frequencies of smooth cylindrical shells and cylindrical shells with lumped inclusions. Soviet Applied Mechanics 9, 136–141 (1973). https://doi.org/10.1007/BF00889266
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DOI: https://doi.org/10.1007/BF00889266