Sloshing of liquid in rigid cylindrical container with multiple rigid annular baffles: Lateral excitations

Abstract

Sloshing response of liquid in a rigid cylindrical container with multiple annual rigid baffles subjected to lateral excitations has been studied. Firstly, the liquid domain is divided into several simple sub-domains so that the liquid velocity potential in each liquid sub-domain has continuous boundary conditions of class C1. Based on the superposition principle, the analytical solutions of the liquid velocity potential corresponding to each liquid sub-domain are obtained by means of the method of separation of variables. The total velocity potential function under lateral excitation is taken as the sum of the container potential function and the liquid perturbed potential function. The orthogonality among the modes of liquid velocity potential is demonstrated. The dynamic response equation of liquid is established by substituting the liquid potential functions into the free surface wave equation. Finally, the surface wave height, hydrodynamic pressure distribution, resultant hydrodynamic force and moment for a container subjected to harmonic and seismic lateral excitations are discussed in detail.