M. Isaacson et Cs. Ryu, EARTHQUAKE-INDUCED SLOSHING IN VERTICAL CONTAINER OF ARBITRARY SECTION, Journal of engineering mechanics, 124(2), 1998, pp. 158-166
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.