Eigen-problem of liquid-container coupling

A method to solve the eigen-problem of the coupling between a liquid and its container is presented. We apply the method of weighted residue to the governing differential equations of liquid, and separate the solid phase with the finite element method. With the character of the mass matrix of liquid, pressures of the free surface joints will be used to describe all the pressures of the liquid; and we will obtain the dynamic equations by using the interaction relation between the liquid and its container. The program designed to solve this problem has already been used in an example calculation. By comparison with the test values, this calculated result turns out to be correct, and this method has been proved to be practical and effective.