A simplified numerical model for a plate backed by a thin foam layer in the low frequency range

✍ Scribed by L. Jaouen; B. Brouard; N. Atalla; C. Langlois

• Publisher: Elsevier Science
• Year: 2005
• Tongue: English
• Weight: 356 KB
• Volume: 280
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/j.jsv.2003.12.038

✦ Synopsis

This paper presents a simplified numerical model based on a hierarchical trigonometric functions set to predict the low frequency vibration behaviour of a plate backed by a thin foam layer. The base metal plate is excited in bending vibrations with a point load and can have various boundary conditions. The poroelastic layer is modelled using the mixed displacement-pressure formulation of the Biot-Allard's theory. The base plate and the solid phase of the porous medium are described as an equivalent visco-elastic plate. The poro-elastic's fluid phase is coupled with the equivalent plate displacements.

Comparisons with complete three-dimensional poro-elastic finite element solutions and experimental data are presented to define a domain of validation for the proposed simplified model.