Sensitivity Analysis of Sound Transmission in Double-Wall Structures with Porous Layers Using Chaos Polynomial

This research investigates the acoustic performance of double-wall structures featuring porous layers through a combined approach of Finite Element Method (FEM) simulations and metamodel-based sensitivity analysis. The primary objective is to enhance the acoustic transmission efficiency by finding the parameters with the most significant impact on the system's vibro-acoustic response. Initially, the system is meticulously modeled using the Finite Element Method. Subsequently, a chaos polynomial metamodel is introduced to approximate the complex solutions obtained from the finite element simulations. Finally, a comprehensive sensitivity analysis using polynomial chaos expansion is conducted, facilitating the calculation of Sobol indices. These indices play a pivotal role in ranking the selected mechanical, acoustic, and geometric parameters according to their respective contributions to sound transmission. This comprehensive approach provides invaluable insights into the complex system of double-wall structures incorporating porous layers. Furthermore, it establishes a robust framework for effectively optimizing their acoustic performance across diverse engineering applications.