Sound transmission of periodic composite structure lined with porous core: rib-stiffened double panel case

TL;DR

This paper develops a semi-analytical method combining Biot theory and periodic structure analysis to study sound insulation in rib-stiffened double panels with porous lining, revealing complex effects on sound transmission.

Contribution

It introduces a novel theoretical framework integrating poroelastic modeling with periodic structure analysis for sound insulation assessment.

Findings

Ribs can reduce overall sound insulation.

The method effectively models broadband sound modulation.

Porous lining enhances sound absorption at medium to high frequencies.

Abstract

Porous materials are effective for the isolation of sound with medium to high frequencies, while periodic structures are promising for low to medium frequencies. In the present work, we study the sound insulation of a periodically rib-stiffened double-panel with porous lining to reveal the effect of combining the two characters above. The theoretical development of the periodic composite structure, which is based on the space harmonic series and Biot theory, is included. The system equations are subsequently solved numerically by employing a precondition method with a truncation procedure. This theoretical and numerical framework is validated with results from both theoretical and finite element methods. The parameter study indicates that the presence of ribs can lower the overall sound insulation, although a direct transfer path is absent. Despite the unexpected model results, the method proposed here, which combines poroelastic modeling and periodic structures semi-analytically, can be promising in broadband sound modulation.