Literature Cited
A. S. Vol'mir, Nonlinear Dynamics of Plates and Shells [in Russian], Nauka, Moscow (1972).
A. S. Vol'mir, A. A. Logvinskaya, and V. V. Rogalevich, “Nonlinear characteristic vibrations of rectangular plates and cylindrical boards,” Dokl. Akad. Nauk SSSR,205, No. 2, 44–46 (1972).
E. I. Grugolyuk, “Vibrations of a tapered cylindrical panel undergoing finite deflection,” Prikl. Mat. Mekh.,19, No. 2, 376–382 (1955).
H. N. chu and G. Herrmann, “Free flexural vibrations of rectangular elastic plates,” J. Appl. Mech.,23, No. 4, 532–541 (1956).
Additional information
Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 19, No. 10, pp. 84–88, October, 1983.
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Grigorenko, A.Y. Numerical solution of the nonlinear free vibrations of a plate. Soviet Applied Mechanics 19, 902–905 (1983). https://doi.org/10.1007/BF00883220
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DOI: https://doi.org/10.1007/BF00883220