Seismic Response of Liquid Sloshing in the Annular Region Formed by Coaxial Circular Cylinders

Abstract

Although much research work has been performed on the liquid sloshing inside simple cylindrical vessels, with free surface at the time of an earthquake, few reports are published about the sloshing in intricate structures with inner structures. This paper deals with an analysis of liquid sloshing in the annular region of more intricate coaxial circular cylinders. In this analysis, by utilizing the velocity potential theory, the transient response is formulated as a boundary value problem in axisymmetrical vessels when the sine wave in resonance with the sloshing of the primary mode is applied which is known to be a convenient method to evaluate the seismic response of sloshing. These analytical results show very good agreement with the experimental results. Further, by utilizing this anlytical method and FEM, the sloshings in more complicated structures are investigated.