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IssuesArchive of Issues2018-5pp.568-572

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B.Kh. Eshmatov, "Nonlinear Oscillations of a Viscoelastic Anisotropic Reinforced Plate," Mech. Solids. 53 (5), 568-572 (2018)
Year 2018 Volume 53 Number 5 Pages 568-572
DOI 10.3103/S0025654418080101
Title Nonlinear Oscillations of a Viscoelastic Anisotropic Reinforced Plate
Author(s) B.Kh. Eshmatov (Branch of Russian State University of Oil and Gas (National research University) named after I.M. Gubkin in Tashkent, ul. Durmon yuli 34, Tashkent, 100125 Uzbekistan, ebkh@mail.ru)
Abstract Based on the Kirchhoff-Love theory in a geometrically nonlinear formulation, the problem of vibrations of a viscoelastic reinforced anisotropic plate is considered. The problem is solved using the Bubnov-Galerkin method founded on a polynomial approximation of the deflections in combination with a numerical method based on the using quadrature formulas. An analysis of the use of rheological viscosity parameters for structures with different directions of reinforced fibers is presented. The effect of viscoelastic properties and directions of reinforced fibers on the plate oscillation process is exemplified by real materials.
Keywords viscoelasticity, anisotropic reinforced plate, Kirchhoff Love theory, geometric nonlinearity, rheological parameters, oscillations
References
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10.  F.B. Badalov, B.Kh. Eshmatov, and M. Yusupov, "On Certain Methods of Solving Systems of Integrodifferential Equations Encountered in Viscoelasticity Problems," Prikl. Mat. Mekh. 51 (5), 867-871 (1987) [J. Appl. Math. Mech. (Engl. Transl.) 51 (5), 683-686 (1987)].
11.  A.F. Verlan and B.Kh. Eshmatov, "Mathematical Modeling of Oscillations for Orthotropic Viscoelastic Plates Taking into Account Geometric Nonlinearity," Elect. Model. 27 (4), 3-17 (2005).
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Received 11 June 2016
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