EARTHQUAKE-INDUCED SLOSHING IN VERTICAL CONTAINER OF ARBITRARY SECTION

The sloshing of a liquid in a rigid vertical cylindrical tank of arbit rary section subjected both to harmonic-and to irregular base motion i s described. Initially, the boundary value problem for the case of an inviscid fluid and a harmonic base motion is solved on the basis of li nearized potential flow theory. The solution is based on an eigenfunct ion expansion method in which a set of boundary integral equations inv olving a suitable Green's function are solved for each mode, This solu tion is then extended to the case of energy dissipation of a real flui d, by assuming this to occur at the free surface. Further extensions t o a stationary random base motion, to the time-domain response to a sp ecified base acceleration record, and to the estimation of maximum for ces using a modal analysis and involving earthquake response spectra a re then indicated. Comparisons are made with closed-form solutions for circular and rectangular tanks, and more general example applications are provided.