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Determination of frequencies of natural vibrations of circular plates. (English. Russian original) Zbl 0353.73055

J. Appl. Math. Mech. 40, 96-103 (1976); translation from Prikl. Mat. Mekh. 40, 112-119 (1976).

MSC:

74K20 Plates
70J10 Modal analysis in linear vibration theory
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References:

[1] Lur’e, A. I., Three-dimensional Problems of Elasticity Theory (1955), Gostekhizdat: Gostekhizdat Moscow · Zbl 0122.19003
[2] Mindlin, R. D., Waves and vibrations in isotropic elastic plates, (Proc. First Symposium of Naval Structural Mechanics, Stanford University. Proc. First Symposium of Naval Structural Mechanics, Stanford University, 1958 (1960), Pergamon Press: Pergamon Press N.Y) · Zbl 0044.40101
[3] Deresiewicz, H.; Mindlin, R. D., Axially symmetric flexural vibrations of a circular disk, Trans. ASME, Ser. E, J. Appl. Mech., Vol. 77 (1955) · Zbl 0064.19602
[4] (Theory of Sound, Vol. 2 (1945), Dover Publ: Dover Publ N.Y)
[5] Kane, T. R.; Mindlin, R. D., High-frequency extensional vibrations of plates, Trans. ASME, Ser. E, J. Appl. Mech., Vol. 23, N≗2 (1956) · Zbl 0070.19301
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