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Approximate equations of axisymmetric vibrations of cylindrical shells. (English. Russian original) Zbl 0486.73058

Sov. Appl. Mech. 17, 722-727 (1982); translation from Prikl. Mekh. 17, No. 8, 25-30 (1981).

MSC:

74H45 Vibrations in dynamical problems in solid mechanics
74K25 Shells
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References:

[1] D. A. Ivensen, ?Nonlinear bending vibrations of thin circular rings,? Trans. ASME, Ser. E, No. 3, 87?96 (1966).
[2] G. Kauderer, Nonlinear Mechanics [Russian translation], IL, Moscow (1961).
[3] L. I. Manevich, ?Nonlinear axisymmetric vibrations of a cylindrical shell,? Gidroaeromekh. Teor. Uprugosti, No. 9, 134?137 (1968).
[4] L. I. Manevich, ?On geometric relations of the nonlinear theory of elasticity at small strains,? Gidroaeromekh. Teor. Uprugosti, No. 11, 81?83 (1970).
[5] R. Fenn, ?Normal vibration modes of certain nonlinear continuous systems,? Trans. ASME, Ser. E, No. 1, 164?166 (1964).
[6] Thin-Walled Shells, Mashinostroenie, Moscow (1980).
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