A boundary element method and spectral analysis model for small-amplitude viscous fluid sloshing in couple with structural vibrations

A boundary element method (BEM) is presented for the coupled motion analysi s of structural vibrations with small-amplitude fluid sloshing in two-dimen sional space. The linearized Navier-Stokes equations are considered in the frequency domain and transformed into a Laplace equation and a Helmholtz eq uation with pure imaginary constant. An appropriate fundamental solution fo r the Helmholtz equation is provided. The conditions of zero stress are imp osed on the free surface, and non-slip conditions of fluid particles are im posed on the walls of the container. For rigid motion models, the expressio ns for added mass and added damping to the structural motion equations are obtained. Numerical examples are presented. Copyright (C) 2000 John Wiley & Sons, Ltd.