| Issue |
E3S Web of Conf.
Volume 402, 2023
International Scientific Siberian Transport Forum - TransSiberia 2023
|
|
|---|---|---|
| Article Number | 07023 | |
| Number of page(s) | 12 | |
| Section | High-Performance Buildings, Energy Modeling, Heat & Mass Transfer | |
| DOI | https://doi.org/10.1051/e3sconf/202340207023 | |
| Published online | 19 July 2023 | |
The natural vibrations of shell structures taking into account dissipative properties and structural heterogeneity
1 Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, National Research University, 100000 Tashkent, Uzbekistan
2 Fergana Polytechnical Institute, Fergana, Uzbekistan
* Corresponding author: scherzodshox77@mail.ru
The paper considers the natural oscillations of shell structures. In general, these structures are a set of deformable elements with different rheological properties. An algorithm for solving the viscoelastic dynamic problems has been developed for the complex axisymmetric structures. The physical properties of the viscoelastic structural elements are described by linear Boltzmann-Voltaire relations with integral difference cores. The three-parameter core of Rzhanitsyn-Koltunov was used as the relaxation core. In general, the problem is reduced to solving the systems of first-order ordinary differential equations in the complex variables. A frequency equation is obtained, for the solution where the Muller method is applied. The calculated values of the natural frequencies of oscillations with a given degree of accuracy are given.
© The Authors, published by EDP Sciences, 2023
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