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Abstract The dynamic characteristics and response of long gravity dams are studied using a simplified approach. The dam is modeled by a plate flexural theory which includes both beding and shear deformations effect of dam- interaction and the flexibility of the reservoir floor are also conidered in the analysis. A free vibation analysis is carried out for empty and fuil reservoir conditions, with the compressibility of water neglected in the latter case. The natural frequencies of vibration of the dam and the associated mode shapes are evaluated using the (Ritz-Galerkin) method along with tow sets of trial functions namely, admissible and comparson functions. Aforced vibration in the frequency domain is carried out considering the compressibility of water. The (Galerkin) method for forced vibration is used to evaluate the dam response due to horizontal and vertical harmonic ground excitations. The effects of interaction between the dam and reservoir, as well as the flexibility of the reservoir floor are studied. A time domain analysis is carried out to evaluate the response of the dam to a recrded earthquake ground motion. The analysis is based on the fourier integral technique which employs the frequency domain response to evaluate time domain respone. The integrals are evaluated numerically using Fast Fourier Transform routine. |