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Vibrations of flexible cylindrically anisotropic annular plates. (English. Russian original) Zbl 0929.74048

J. Math. Sci., New York 92, No. 5, 4180-4183 (1998); translation from Teor. Prikl. Mekh. 28, 92-97 (1998).
Summary: We study the problem of bending vibrations of a prestressed flexible annular plate made of a cylindrically anisotropic material. The problem is solved using the method of initial functions and the theory of multiplicative integration. Using the resulting computational formulas, we analyze the critical values of loading parameters of the plate by a dynamic criterion.

MSC:

74H45 Vibrations in dynamical problems in solid mechanics
74K20 Plates
74E10 Anisotropy in solid mechanics
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References:

[1] A. S. Kosmodamianskii, A. M. Kravtsov, and S. A. Priimenko, ”Application of the method of initial functions in problems of vibrations and stability of a prestressed flexible plate,”Dop. Nats. Akad. Nauk Ukr., No. 8, 54–56 (1995).
[2] S. A. Vol’mir,Fléxible Plates and Shells [in Russian], Fizmatgiz, Moscow (1956).
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