Geodesic
On the improving of the plate non-linear vibrations equations
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (1992), pp. 41-46 
M. V. Belubekyan; S. V. Sarkisyan. On the improving of the plate non-linear vibrations equations. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (1992), pp. 41-46. http://geodesic.mathdoc.fr/item/UZERU_1992_1_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

By means of improving of the facial planes boundary conditions a version of equations of flexible plate theory is suggested. On the basis of these equations the problem of non-linear cylindrical-form vibration of the plate is solved.

[1] A. S. Volmir, Nelineinaya dinamika plastin i obolochek, Nauka, M., 1972 | MR

[2] L. G. Donnell, Balki, plastiny i obolochki, Nauka, M., 1982, 567 pp.

[3] M. Berger, “A New Approach to the Large Deflection of Plate”, J. Appl. Mech., 22 (1955), 465–472 | MR | Zbl

[4] A. G. Bagdoev, L. A. Movsisyan, “O dispersionnykh uravneniyakh gibkikh plastin i tsilindricheskoi obolochki”, Izv.AN Arm.SSR, Mekhanika, 41:3 (1988), 3–5 | MR | Zbl

[5] R. M. Kirakosyan, “K opredeleniyu napryazhenii poperechnogo napravleniya ortotropnoi idealno-plasticheskoi plastinki peremennoi tolschiny”, Izv. AN Arm. SSR, Mekhanika, 43:2 (1990), 29–37 | Zbl