| Issue |
E3S Web of Conf.
Volume 458, 2023
International Scientific Conference Energy Management of Municipal Facilities and Environmental Technologies (EMMFT-2023)
|
|
|---|---|---|
| Article Number | 08013 | |
| Number of page(s) | 11 | |
| Section | Environmental Management and Protection | |
| DOI | https://doi.org/10.1051/e3sconf/202345808013 | |
| Published online | 07 December 2023 | |
Propagation of longitudinal waves in a linear viscoelastic medium
1 Institute of Mechanics and Seismic Stability of Structures named after M.T. Urazbaev of the Academy of Sciences of the Republic of Uzbekistan,
2 NRU “Tashkent Institute of Irrigation and Agricultural Mechanization Engineers”, 39 Kari Niyazov Street, Tashkent 100000 Tashkent, Uzbekistan
* Corresponding author: saidjon.xamidov92@gmail.com
The article is devoted to the study of longitudinal wave propagation in a viscoelastic medium. A mathematical model of the problem of a linear viscoelastic medium was developed. The solution to the considered problems is reduced to the solution of a system of differential equations solved by the method of characteristics with the appropriate boundary conditions. The results are compared with known results obtained by other authors; a comparison shows the adequacy of the task posed. It was determined that the maximum values of stress, strain, and velocity of particles in viscous media vary according to a non-linear law. In the initial section of the medium and near it, first, the stress reaches its maximum, and then the strain and velocity of particles reach their maximum values.
© The Authors, published by EDP Sciences, 2023
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