| Issue |
MATEC Web Conf.
Volume 245, 2018
International Scientific Conference on Energy, Environmental and Construction Engineering (EECE-2018)
|
|
|---|---|---|
| Article Number | 01003 | |
| Number of page(s) | 7 | |
| Section | BIM (Building Information Modeling) | |
| DOI | https://doi.org/10.1051/matecconf/201824501003 | |
| Published online | 05 December 2018 | |
To Calculation of Rectangular Plates on Periodic Oscillations
1
Tashkent Financial Institute, A. Temur St. 60A, Tashkent, 100000, Uzbekistan
2
Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, Kari Niyazov St. 39, Tashkent, 100000, Uzbekistan
3
Peter the Great St. Petersburg Polytechnic University, Polytechnicehskaya 29, St. Petersburg, 195251, Russian Federation
* Corresponding author: dhodjaev@mail.ru
Geometrically nonlinear mathematical model of the problem of parametric oscillations of a viscoelastic orthotropic plate of variable thickness is developed using the classical Kirchhoff-Love hypothesis. The technique of the nonlinear problem solution by applying the Bubnov-Galerkin method at polynomial approximation of displacements (and deflection) and a numerical method that uses quadrature formula are proposed. The Koltunov-Rzhanitsyn kernel with three different rheological parameters is chosen as a weakly singular kernel. Parametric oscillations of viscoelastic orthotropic plates of variable thickness under the effect of an external load are investigated. The effect on the domain of dynamic instability of geometric nonlinearity, viscoelastic properties of material, as well as other physical-mechanical and geometric parameters and factors are taken into account. The results obtained are in good agreement with the results and data of other authors.
© The Authors, published by EDP Sciences, 2018
This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/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.