Solutions are presented for modal analysis of hydrodynamic pressures generated by the three translational seismic components— longitudinal, vertical, and transverse— on a dam limiting a semicircular cylindrical reservoir. The main purpose is to show the influence of the cross-sectional shape of the reservoir in the hydrodynamic responses. Results are compared with those for rectangular cross section. Responses are found to be systematically smaller with semicircular cross section for a given cross-sectional area and depth. It is concluded that, for design purposes, the fundamental mode adequately approximates the response for various excitations of practical interest.
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Sánchez‐Sesma et al. (1977) studied this question.