Abstract
Abstract A weak formulation of the coupled acoustic-elastic wave propagation through a flexible porous material is presented for a one-dimensional case. The discretized form of the equations governing the wave propagation through the porous material is derived from a weighted residual statement, involving expansions in terms of the unknown acoustic pressure and fibre displacement fields. The derived equation system is applied to the coupled fluid-structure problem of low frequency transmission through a one-dimensional double wall. In the paper, the effects of including the elasticity of the fibrous structure together with the modelling of the porous medium as a limp material are discussed. Comparison is also made with a solution, obtained for single mode correction to the limp porous material model, given as a closed form expression in an Appendix.
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