| Issue |
E3S Web Conf.
Volume 264, 2021
International Scientific Conference “Construction Mechanics, Hydraulics and Water Resources Engineering” (CONMECHYDRO - 2021)
|
|
|---|---|---|
| Article Number | 01027 | |
| Number of page(s) | 10 | |
| Section | Ecology, Hydropower Engineering and Modeling of Physical Processes | |
| DOI | https://doi.org/10.1051/e3sconf/202126401027 | |
| Published online | 02 June 2021 | |
Vibrations of Cylindrical Shell Structures Filled With Layered Viscoelastic Material
1 Tashkent Institute of Chemical Technology, Tashkent, Uzbekistan
2 Bukhara engineering-technological institute, Bukhara, Uzbekistan
3 Bukhara branch of Institute of Mathematics AS RUz, Bukhara, Uzbekistan
4 Bukhara branch of the Tashkent Institute of Irrigation and Agricultural Mechanization Engineers
5 Kazax-Turk International University, Kazakhstan
6 Urgench State University, Urgench, Uzbekistan
* Corresponding author: muhsin_5@mail.ru
A thin-walled shell and a thick-walled mass (cylinder) in contact with it, made of a different material, are structural elements of many machines, apparatus, and structures. The paper considers forced steady-state vibrations of cylindrical shell structures filled with a layered viscoelastic material. The study aims to determine the damping properties of vibrations of a structurally inhomogeneous cylindrical mechanical system under the influence of harmonic loads. The dynamic stress-strain state of a three-layer cylindrical shell filled with a viscoelastic material under the action of internal time-harmonic pressure is investigated. The oscillatory processes of the filler and the bonded shell satisfy the Lamé equations. At the contact between the shell and the filler, the rigid contact conditions are satisfied. Dependences between stresses and strains for a linear viscoelastic material are presented in the form of the Boltzmann-Voltaire integral. The method of separation of variables, the method of the theory of potential functions (special functions), and the Gauss method are used to solve this problem. Based on the analysis of the numerical results, it was found that the dependence of the resonant amplitude of the shell displacements on the viscous properties of the filler is 12-15%. Analysis of the results obtained shows that the study of vibrations of shells containing fillers according to the rod theory will lead to rather large erroneous results (up to 20%).
© The Authors, published by EDP Sciences, 2021
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.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.