Full Article: PDF
Scientific Object Identifier: http://s-o-i.org/1.1/TAS-05-145-44
DOI: https://dx.doi.org/10.15863/TAS.2025.05.145.44
Language: English
Citation: Dusmatov, O.M., & Khasanov, J.A. (2025). Random nonlinear vibrations of an imperfectly elastic circular plate with a dynamic absorber. ISJ Theoretical & Applied Science, 05 (145), 364-368. Soi: https://s-o-i.org/1.1/TAS-05-145-44 Doi: https://dx.doi.org/10.15863/TAS.2025.05.145.44 |
Pages: 364-368
Published: 30.05.2025
Abstract: This work considers the problem of random nonlinear transverse vibrations of an imperfectly elastic circular plate in combination with a dynamic absorber. Single-valued nonlinear functions representing the hysteresis-type absorber properties of the materials of the plate and the elastic damping element of the dynamic absorber were replaced with linear complex functions using the statistical linearization method and taken into account in the equations. A methodology for solving the problem has been developed. In order to investigate the dynamics and stability of the vibration-protected plate at different spectral densities of random processes, expressions for the root mean square values of the amplitudes and absolute accelerations were determined.
Key words: imperfectly elastic, circular plate, dynamic absorber, random vibrations, dissipative, hysteresis, root mean square value.
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