E3S Web Conf.
Volume 91, 2019Topical Problems of Architecture, Civil Engineering and Environmental Economics (TPACEE 2018)
|Number of page(s)||9|
|Published online||02 April 2019|
Dynamic calculation of nonlinear oscillations of viscoelastic orthotropic plate with a concentrated mass
Tashkent Institute of Irrigation and Agricultural Mechanization Engineers, 39 Kari Niyazov Kochashi, Tashkent, 100000, Uzbekistan
* Corresponding author: firstname.lastname@example.org
Plates, panels and shells made of composite material with fixed objects in the form of an additional mass have found a wide use due to their viscoelastic and strength properties. An analysis of their dynamic behavior indicates a significant effect of inhomogeneity of an associated mass type on their strength. The problem of oscillations of a viscoelastic orthotropic rectangular plate with an associated mass is considered according to the Kirchhoff-Love hypothesis in a geometrically nonlinear statement. This problem is reduced to solving the systems of nonlinear integro-differential equations with singular relaxation kernels, solved by the Bubnov-Galerkin method in combination with a numerical method based on the use of quadrature formulas. The numerical values of the approximate solution have been calculated in the Delphi programming environment. At wide range of changes in physicomechanical and geometrical parameters, the behavior of the plate has been studied. The effect of viscoelastic and inhomogeneous material properties, concentrated mass and their location on the oscillatory process of a rectangular plate is shown.
© The Authors, published by EDP Sciences, 2019
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.
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