Vibrations of dam–plate of a hydro-technical structure under seismic load
A. A. TukhtaboevNamangan Civil Engineering Institute, Namangan, UzbekistanSergey LeonovNational Technical University “Kharkiv Polytechnic Institute”, UkraineFozil TuraevTashkent Institute of Irrigation and Agricultural Mechanization Engineers, Tashkent, UzbekistanKudrat RuzmetovTashkent State Agrarian University, Tashkent, Uzbekistan
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Abstract
In present paper, the problem of the vibration of a viscoelastic dam-plate of a hydro-technical structure is investigated, based on the Kirchhoff-Love hypothesis in the geometrically nonlinear statement. This problem is reduced to a system of nonlinear ordinary integro-differential equations by using the Bubnov-Galerkin method. The resulting system with a weakly-singular Koltunov-Rzhanitsyn kernel is solved using a numerical method based on quadrature formulas. The behavior of the viscoelastic dam-plate of hydro-technical structure is studied for the wide ranges of physical, mechanical, and geometrical material parameters.
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