Affiliations: College of Civil Engineering, Nanjing University of
Technology, Nanjing, Jiangsu, China
Note: [] Corresponding author: D. Zhou, College of Civil Engineering,
Nanjing University of Technology, Nanjing 210009, Jiangsu, China. E-mail:
dingzhou57@yahoo.com
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.
