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This paper describes a new numerical method to calculate efficiently the effect of a multilayered structure which is located on the coupling surface between structure and acoustic cavity. This method utilizes the transfer matrix built from analytical wave function sets for each layer. Solutions for Helmholtz equations derived from Biot's theory are applied for the layer of absorbing porous material such as polymer foams. Transfer matrix for multilayered structure is then applied to form boundary conditions between structure and acoustic cavity and the modified equations of motions for the coupled systems are obtained. The new calculation method employed transfer matrix for multilayered structure is finally validated by a numerical example which resulted into the reduction of calculation time by the factor up to 40 without the severe loss of accuracy comparing results by the standard finite element analysis.

Modeling of Multilayered Structures on the Coupling Surface Between a Structure and an Acoustic Cavity