MATEC Web Conf.
Volume 245, 2018International Scientific Conference on Energy, Environmental and Construction Engineering (EECE-2018)
|Number of page(s)||7|
|Section||BIM (Building Information Modeling)|
|Published online||05 December 2018|
To Calculation of Rectangular Plates on Periodic Oscillations
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: firstname.lastname@example.org
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
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