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Nonlinear random parametric oscillations of a vibration-proofed mechanical system

Olimjon Musurmonovich DusmatovSamarkand State University named after Sharof Rashidov , Samarkand , UzbekistanMuradjon KhodjabekovBakhtiyor AshurovSamarkand State University of Architecture and Civil Engineering
2025en
ABI

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In this paper, the problem of nonlinear random parametric oscillations of a vibration-protected mechanical system is considered. Nonlinear ambiguous functions characterizing the dissipative properties of materials of elastic damping elements of a mechanical system and a dynamic absorber are taken into account using the method of statistical linearization in linear form. Using the Ito method, an analytical expression for the mean square values of the vibration-protected system is obtained.

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