Vibration Analysis of Fluid-coupled Two Coaxial Axisymmetric Shells Containing Liquid

Abstract

This paper presents a vibration response analysis method of fluid-coupled coaxial axisymmetric shells subjected to a horizontal earthquake. The kinetic energy and the strain energy of two coaxial axisymmetric shells are calculated by the finite element method. On the other hand, the velocity potential of the liquid contained in two shells is obtained analytically by assuming it as an ideal fluid, that is incompressible and inviscid, and then the kinetic energy of the liquid is calculated. Substituting these energies into Lagrange's equation of motion, the seismic response analysis method for a structure-liquid coupled vibration system is derived. As a result of numerical studies, this solution is proved to be an effective and reasonable method, and the seismic response characteristics of the two coaxial axisymmetric shells containing liquid are made clear.