F. Guan et al., TRANSIENT-RESPONSE OF RESERVOIR DAM SOIL SYSTEMS TO EARTHQUAKES, International journal for numerical and analytical methods in geomechanics, 18(12), 1994, pp. 863-880
A direct time-domain numerical procedure is proposed to analyse the tr
ansient dynamic response of two-dimensional reservoir-dam-soil systems
. The reservoir extends to infinity and the dam is supported by an unb
ounded soil. The structure with either linear or non-linear material p
roperties is modelled by the Finite Element Method (FEM). The soil is
assumed to be an elastic, isotropic and homogeneous half-space represe
nted by a boundary condition in the form of generalized impedance dete
rmined by the transient Lamb's solution due to a uniformly distributed
traction imposed on the free surface, Guan and Novak.(1) Moreover, a
technique is developed to include the influence of the reservoir on th
e dam in terms of nodal accelerations along their interface at differe
nt time steps. The advantages of the proposed procedure are obvious. F
or example, it avoids any additional discretization of the boundaries
except the soil-dam interface, and the influence matrix of the fluid i
s obtained explicitly using shape functions defined at the upstream fa
ce of the dam without the finite analysis of the reservoir so that it
works very efficiently. Numerical results for a system consisting of r
eservoir, elastic dam and foundation subjected to the San Fernando, 19
71 earthquake ground motion are presented.