| Issue |
E3S Web Conf.
Volume 164, 2020
Topical Problems of Green Architecture, Civil and Environmental Engineering 2019 (TPACEE 2019)
|
|
|---|---|---|
| Article Number | 02009 | |
| Number of page(s) | 10 | |
| Section | Energy Efficiency in Building Construction | |
| DOI | https://doi.org/10.1051/e3sconf/202016402009 | |
| Published online | 05 May 2020 | |
Spatial forced oscillations of axisymmetric inhomogeneous systems
1 Tashkent Institute of Irrigation and Agriculture Mechanization Engineers, Tashkent, Uzbekistan
2 Fergana Polytechnic Institute, Fergana, Uzbekistan
* Corresponding author: theormir@mail.ru
The aim of this paper is to develop an adequate mathematical model, methods and algorithms for solving three-dimensional problems for axisymmetric spatial inhomogeneous viscoelastic systems (shells, foundations and bases) and to assess the dynamics of protective shell (containment) of a nuclear power plant (NPP) under resonant modes of vibration. The problem is solved using the semi-analytical finite element method. Firstly, the eigenmodes of vibration of the system are determined in an elastic three-dimensional statement, secondly, the solution to the problem of forced vibrations of viscoelastic systems is constructed using the expansion of these eigenmodes of vibration. Viscoelastic properties of the material are described using the hereditary Boltzmann-Volterra theory. The principle of virtual displacements is used to simulate dynamic processes in inhomogeneous viscoelastic systems. The convergence and accuracy of the solutions obtained are investigated by test problems. The frequency response characteristics (FRC) in various points of the NPP containment are estimated at various viscosity parameters of the material. It was revealed that the highest amplitude of vibrations in resonance modes occurs at close values of the frequency of external effect to the first eigen frequencies of the system; in the presence of dense spectra of eigen frequencies of the system, the highest amplitudes can occur at higher frequencies of external effect.
© The Authors, published by EDP Sciences 2020
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.