Vibrations of dam–plate of a hydro-technical structure under seismic load

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.

Investigation of dynamic behavior and stress-strain state of soil dams taking into account physically Non-linear properties of soils

“…Application of the Newmark method is based on representation of the vector of unknown displacements   u and its derivatives   u by independent series in powers of a time step, with retention of terms up to third order of a derivative and choice of conditions for ensuring unconditional convergence of the integration process [15][16][17][18][19][20][21]. As a result of this representation the differential equation ( 6) at the end of the 1st step is reduced to the solution of the algebraic system…”