Natural Frequency of a Fill Dam by Means of Two Dimensional Truncated Wedge Taking Shear and Bending Moment Effects Into Account

Abstract

The discussion, in this paper, is confined to the natural vibration of the fill dam which can be described by the truncated wedge of inhomogeneous rigidity: G=Gm(z/hY where G: modulus of rigidity, z: distance from the top of dam, h: dam height, n: rigidity index, and with rectangular canyon shape. Equilibrium of the bending moment and the shearing force in the vertical direction, together with the shearing force and twisting moment in the transverse direction, leads to the fundamental dynamic equations of the prescribed model of dam. Finite difference method is used to determine the natural frequencies and natural modes of the dam. The frequencies and the modes are computed for the various rigidity index n, the canyon width and the bottom width, the results are put in order in graphical or tabular forms.

A closed-form solution for a fluid-structure system: shear beam-compressible fluid

“…Their results indicated that inclination in the wet surface of the dam reduces hydrodynamic pressures. Natural frequencies of a fill dam with a wedge section was calculated by Kishi et al (1987) considering both shear and bending effects. They implemented finite difference in their calculations.…”