Calculation of Coupled Modes for Vibro-Acoustic Problems
A new numerical method for the study of elasto-acoustic structures coupled with fluid-filled cavities has been developed. This method essentially consists of solving the eigenvalue problem for the determination of elasto-acoustic modes. The Numerical methods commonly used for its resolution is based on the mass coupling. However, this approach requires for it is resolution the inversion of a singular matrix, "the stiffness matrix of the fluid". We then propose a new numerical method based on stiffness coupling by using modal superposition techniques through a change of variable which shows a symmetric and regular problem in terms of displacement of the elastic structure and in terms of fluid pressure in the cavity.
M. Beldi and Z. Lamia, "Calculation of Coupled Modes for Vibro-Acoustic Problems", Advanced Materials Research, Vols. 488-489, pp. 1691-1696, 2012