Abstract
Sloshing response of liquid in a rigid cylindrical container with a rigid annual baffle subjected to lateral excitation has been studied. The complicated liquid domain is separated into several simple sub-domains by introducing the artificial interfaces. The analytical solutions of potential function corresponding to every sub-domain are obtained by using the method of separation of variables and the superposition principle. The total potential function under lateral excitation is taken as the sum of the container potential function and the liquid perturbed function. The expression of the liquid perturbed function is obtained by introducing the generalized coordinates. On the base of the natural frequencies and modes having been obtained by the sub-domain method, the orthogonality among the sloshing modes has been demonstrated. Substituting the potential functions into the free surface wave equation establishes the dynamic response equation of liquid. Then, the generalized coordinates are solved. The sloshing surface displacement, the hydrodynamic pressure distribution, the resultant hydrodynamic force and moment are discussed for the containers subjected to harmonic and seismic lateral excitation, respectively.
Highlights
The free surface in a partially filled liquid container allows for liquid motion relative to the container
The authors [31] investigated the free vibration of liquid in a rigid cylindrical container with a rigid annular baffle by using the analytical method, which establishes the base of the present study
The liquid hydrodynamic pressure, resultant force and moment acting on the circular cylindrical container with an annular baffle are estimated under lateral excitation
Summary
The free surface in a partially filled liquid container allows for liquid motion relative to the container. Papaspyrou et al [23] developed a mathematical model for calculating liquid sloshing effects such as hydrodynamic pressures and resultant forces in half-full spherical containers under arbitrary external excitation by expressing the velocity potential in a series form. Biswal et al [27] studied the influence of a baffle on the dynamic response of a partially liquid-filled cylindrical container by the finite element method. The authors [31] investigated the free vibration of liquid in a rigid cylindrical container with a rigid annular baffle by using the analytical method, which establishes the base of the present study. An analytical method is developed to solve the forced sloshing problems in a rigid cylindrical container with a rigid annular baffle under lateral excitation. The generalized coordinates can be solved from the dynamic response equations
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