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Analysis reveals mean square values of nonlinear oscillations in a vibration-proofed system, indicating material properties impact performance.
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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Dusmatov et al. (2025) studied this question.
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