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Numerical research of nonlinear vibrations of isotropic viscoelastic plates with variable rigidity by the method of computer simulation

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Author(s): Rustam Abdikarimov

Journal: Social and Natural Sciences Journal
ISSN 1804-4158

Volume: 3;
Start page: 46;
Date: 2011;
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Keywords: Viscoelastic Plate | Variable Thickness | Nonlinear Vibrations | Bubnov-Galerkin method | Relaxation Kernel.

ABSTRACT
In the given work the problem about vibrations of a isotropicviscoelastic plate with variable rigidity in geometricallynonlinear statement is considered. With the help of Bubnov-Galerkin method the problem is reduced to the decision ofsystem of nonlinear ordinary integro-differential equationsof Volterra’s type. The numerical method based on the useof quadrature formulas is applied for the decision of thereceived system at weakly singular kernel of Koltunov-Rzhanitsin’s. Influences of viscoelastic properties of amaterial, geometrical characteristics, and also dependencesof change of thickness of a plate on process of vibrationsare investigated.
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