Abstract
An analytical solution is presented to predict the sloshing response of a cylindrical liquid-storage tank with floating roof under earthquake excitation. The containing liquid is assumed to be invicid, incompressible and irrotational, while the floating roof be an isotropic elastic plate with uniform stiffness and mass. The dynamic interaction between the floating roof and the liquid is taken into account exactly within the framework of linear potential flow theory. By employing the Fourier-Bessel expansion technique in cylindrical coordinates the solution is derived in an explicit form, which is convenient for parametric understanding of the sloshing behavior and preliminary study in the early design stage. Numerical results are also provided to investigate the effect of the stiffness and mass of the floating roof on the sloshing response.
