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Dynamic response of the system to external influences

Abdali AbdukarimovTashkent state technical university, 100174, Tashkent, UzbekistanU. S. RakhmonovTashkent state technical university, 100174, Tashkent, UzbekistanФ.Ж. ТураевTashkent Institute of Irrigation and Agricultural Mechanization Engineers, Tashkent, Uzbekistan
ABI

Abstract

In this paper, an explicit expression of the mechanical conductivity of the system is obtained. The relation between the mechanical conductivity and the pulse transition function described by the integro-differential equation (IDE) is given. An explicit semi-analytical solution of the problem of random fluctuations of inherently deformable systems caused by random external perturbations and initial conditions is obtained, which allows us to determine: the mathematical expectation and moments of the output process, correlation functions and spectral densities.

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