Eigenvalue analysis and transient response of fluid-structure interaction problems

The computer implementation of a method for calculating coupled vibration eigenmodes and eigenfrequencies and the transient response of an elastic enclosure filled with a compressible fluid is described. The formalism is based on a simultaneous discretization of the fluid pressure and the fluid displacement potential. Attention is focused on the resulting form of the dynamic equilibrium equations and on their solution both in free vibration and transient analyses. In the eigenvalue analysis, an adapted Lanczos iteration scheme is proposed which takes account of the specific form of the equations. Applications are presented which demonstrate the effectiveness of the method.