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Classical Analysis of the Shear Vibration Characteristics of an Embankment Dam
Abstract
In this paper, the governing differential equation for the vibration of a homogeneous, isotropic embankment dam was established by the shear beam theory. The governing equation was developed for a typical wedge shaped embankment dam with rectilinear side slopes and having the same gradient on both the upstream and downstream slope. For harmonic displacement response, it was found that the governing partial differential equation reduces to an ordinary differential equation of the Bessel type. This was then solved, subject to the boundary conditions, to obtain the modal shape functions and natural frequencies of vibration. The shear stress distribution along the embankment dam was also obtained.
