Determination of symmetric arch dam vibration periods using empirical formulae

Abstract Some simple formulae which allow us to estimate the first six vibration periods of a symmetric arch dam (designed by following the guidelines of the US Bureau of Reclamation) are presented. Polynomial type expressions are indicated for both empty and full reservoir situations. Dam-reservoir interaction is taken into account by means of a modified three-dimensional Westergaard technique. Likewise, a tentative formulation, which accounts for the foundation flexibility effects is given.