Abstract
The non-stationary response of non-linear liquid motion in a cylindrical tank subjected to lateral earthquake excitation is investigated by modeling the earthquake excitation as an amplitude modulated non-white random process having a dominat frequency. The non-stationary standard deviation and mean responses of the liquid surface displacement are calculated and it is shown that the linear liquid motion theory is not necessarly sufficient to evaluate the safety of tanks, since the non-linear analysis leads to a positive value of the mean response for the liquid surface displacement at the tank wall, while the linear theory predicts zero mean response.
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