This is a preview of subscription content, log in via an institution to check access.
Literature Cited
S. A. Ambartsumyan, Theory of Anisotropic Plates [in Russian], Nauka, Moscow (1967).
I. V. Andrianov, “On the theory of Berger plates,” Prikl. Mat. Mekh.,47, No. 1, 174–176 (1983).
F. B. Badalov, Kh. Éshmatov, and B. Anzhiev, “Investigation of physically and geometrically nonlinear vibrations of viscoelastic plates and shells by the averaging method,” Prikl. Mekh.,21, No. 3, 61–68 (1985).
F. B. Badalov, Methods of Solving Integral and Integrodifferential Equations of the Hereditary Theory of Viscoelasticity [in Russian], Mekhnat, Tashkent (1987).
F. B. Badalov, Power Series Method in the Nonlinear Hereditary Theory of Viscoelasticity [in Russian], Fan, Tashkent (1980).
F. Badalov and Kh. Éshmatov, “On the foundation of a numerical method based on the use of quadrature formulas for integrodifferential equations of viscoelasticity,” Dokl. Akad. Nauk UzbekSSR, No. 11, 17–19 (1986).
F. B. Badalov, Kh. Éshmatov, and M. Yusupov, “On certain methods of solving systems of integrodifferential equations encountered in viscoelasticity problems,” Prikl. Mat. Mekh.,51, No. 5, 867–871 (1987).
A. F. Berlan and V. S. Sizikov, Methods of Solving Integral Equations with Programs for an Electronic Computer [in Russian], Naukova Dumka, Kiev (1978).
A. S. Vol'mir, Nonlinear Dynamics of Plates and Shells [in Russian], Nauka, Moscow (1972).
Ya. F. Kayuk and V. K. Khizhnyak, “Analytic method of solving nonlinear plate bending problems,” Prikl. Mekh.,17, No. 1, 51–57 (1981).
I. F. Obraztsov, L. M. Savel'ev, and Kh. S. Khazanov, Finite Elements Method in Problems of Structural Mechanics of Flying Vehicles [in Russian], Vysshaya Shkola, Moscow (1985).
M. P. Petrenko and R. P. Barsuk, “Vibrations and stability of compressed rectangular plates on an elastic foundation,” Prikl. Mekh.,16, No. 4 (1980).
V. N. Pilipchuk, “On a method of investigating nonlinear dynamics problems for rectangular plates with initial imperfections,” Prikl. Mekh.,22, No. 2, 78–85 (1986).
S. P. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells, 2nd ed., McGraw Hill, New York (1959).
Kh. Éshamatov, “Investigation of vibrations of viscoelastic systems with many degrees of freedom by a method based on using quadrature formulas,” All-Union Congress on Theoretical and Applied Mechanics: Annotated Reports [in Russian], Fan, Tashkent (1986), p. 660.
Kh. Éshamatov and M. Yusupov, “Investigation of the dynamic stability of viscoelastic plates of variable stiffness,” Izv. Akad. Nauk UzbekSSR, Ser. Tekh. Nauk, No. 4, 44–47 (1987).
Additional information
Tashkent Polytechnic Institute. Translated from Prikladnaya Mekhanika, Vol. 26, No. 8, pp. 99–105, August, 1990.
Rights and permissions
About this article
Cite this article
Badalov, F.B., Éshmatov, K. Investigation of nonlinear vibrations of viscoelastic plates with initial imperfections. Soviet Applied Mechanics 26, 799–804 (1990). https://doi.org/10.1007/BF00891800
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00891800