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The arch dam-foundation rock dynamic interaction and the nonlinear effects of closing and opening of contracted joints of arch dams are important to the analysis of seismic response of arch dams. Up to date, there is not yet a reasonable and rigorous procedure including the two factors in the analysis of seismic response of arch dams. It is the reason that the methods used for analysis of the arch dam-foundation rock dynamic interaction in the frequency domain are not suitable to the problem with nonlinear behaviors. For the purpose an analysis method in the time domain is proposed by combining the explicit finite element method and the transmitting boundary, and by using a dynamic analysis method the static responses of arch dams is solved and a combination method is also proposed to calculate the nonlinear responses of arch dams under the actions of static and dynamic load, in this paper. The influences of the arch dam-foundation dynamic interaction with energy dispersion, local material nonlinear and non-homogeneous behaviors on the seismic response of arch dams have been also studied for the designed Xiaowan arch dam with maximum height of 292 m in China. Moreover, the results obtained by the proposed method are compared with the ones obtained by the conventional method with the massless foundation. The influences of the closing-opening effects of contracted joints of arch dams on the seismic response of arch dams will be considered in another paper. © 2004 Taylor & Francis Group, London.
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