| Issue |
E3S Web of Conf.
Volume 410, 2023
XXVI International Scientific Conference “Construction the Formation of Living Environment” (FORM-2023)
|
|
|---|---|---|
| Article Number | 03014 | |
| Number of page(s) | 8 | |
| Section | Modelling and Mechanics of Building Structures | |
| DOI | https://doi.org/10.1051/e3sconf/202341003014 | |
| Published online | 09 August 2023 | |
Stability of Nonlinear Vibrations of Elastic Plate and Dynamic Absorber in Random Excitations
1 National Research University - Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, 39 Kori Niyoziy str., 100000, Tashkent, Uzbekistan
2 Institute of Mechanics and Seismic Stability of Structures of the Academy of Sciences of the Republic of Uzbekistan, 33 Durmon str., 100125, Tashkent, Uzbekistan
3 Samarkand State University, 15 University blv., 140104, Samarkand, Uzbekistan
4 Samarkand State Architectural and Civil Engineering University, 70 Lolazor str., 140147, Samarkand, Uzbekistan
* Corresponding author: uzedu@inbox.ru
In this work, the problem of exploring the stability of vibrations of a hysteresis-type elastic dissipative characteristic plate with a liquid section dynamic absorber under the influence of random excitations is considered. Expressions of mean square deviations of the generalized coordinates are presented, and the expression of the spectral density of the base acceleration is obtained in the form of a wide band. The integral expressions of mean square deviations were calculated, and the conditions for the existence of vertical tangents transferred to the graph of the function representing the mean square values of displacements of plate points were determined. It is shown that these conditions are not fulfilled, and the stability condition is determined depending on the structural parameters of the system.
Key words: plate / nonlinear vibration / dynamic absorber / stability condition / hysteresis / resonance
© The Authors, published by EDP Sciences, 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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