Abstract
A response spectrum method is proposed to predict the sloshing and dynamic response of a floating roof in a cylindrical liquid storage tank subjected to long-period ground motion. The liquid is assumed to be inviscid, incompressible, and irrotational, while the floating roof is considered as an orthotropic elastic plate of variable thickness. The dynamic interaction between the liquid and the floating roof is taken into account exactly within the framework of linear potential theory. The analysis is based on expanding the response of the floating roof into free vibration modes in liquid to derive the diagonalized equations of motion for the coupled liquid-floating roof system. The modal analysis based on the response spectrum is then carried out to predict the sloshing and dynamic response of the floating roof. Numerical results are presented to illustrate the applicability of the proposed method
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