Reliability of Dams Subjected to Hydrodynamic Forces during Earthquakes

摘要

The assumptions and formulation of the governing wave equation are presented for the dam-reservoir system. The equations for the random hydrodynamic force and moment response are derived in a nondimensional form. Using random vibrations theory reliability functions are formulated for stability criteria concerning sliding and overturning. An application of the final results to Hoopes Dam in Delaware is presented. In this thesis the safety of the dam-reservoir system is analyzed by a probabilistic approach. Other works are cited; and nonstationary models used for the acceleration and response force are explained. The equations involve integrals with no known analytic solution. Thus, the integrals need to be evaluated numerically. All the numerical results are presented and discussed. Comparisons to approximate solutions are made to determine the validity of the numerical results. Finally, extensions from this study for future research are noted.