A weighted residual formulation of the acoustic wave propagation through a flexible porous material and a comparison with a limp material model

✍ Scribed by P. Göransson

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 603 KB
• Volume: 182
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1995.0211

✦ Synopsis

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.