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Vertical nonlinear oscillations of viscoelastic systems with multiple degrees of freedom

Khabiba KarimovaUzbekistan, Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, Tashkent city, 100 000, UzbekistanSanjar KhikmatullaevUzbekistan, Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, Tashkent city, 100 000, UzbekistanUmirzok KholiyorovUzbekistan, Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, Tashkent city, 100 000, UzbekistanNuriddin MirjalalovUzbekistan, Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, Tashkent city, 100 000, UzbekistanUtkir IslomovUzbekistan, Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, Tashkent city, 100 000, UzbekistanFotima JuraevaUzbekistan, Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, Tashkent city, 100 000, Uzbekistan
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Аннотация

Abstract Vertical oscillations of three loads of different masses connected by nonlinear viscoelastic springs (suspensions) are considered in the paper. An account for rheological properties of the suspension, an integral model with the Koltunov-Rzhanitsyn relaxation kernel is used. Effective computational algorithms have been developed for solving problems based on the use of quadrature formulas. The effect of rheological properties of suspension on the mass displacement from the position of static equilibrium is investigated as well as the influence of nonlinear properties of the suspension on the mode of vibration and frequency.

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