Finite element design of acoustic metamaterial based on parallel Helmholtz resonators with embedded membranes
Résumé
A design of acoustic metamaterial based on parallel assembly of four Helmholtz resonators is proposed and studied numerically using finite element method. The cylindrical global cavity is partitioned into four sub-cavities with equal volume, which are separated from one another by rigid walls and an extended neck is connected to each sub-cavity. A damping material in the form of a membrane is inserted into each sub-cavity. The parallel assembly of four Helmholtz resonators is periodically distributed within a porous material, which is modeled using the equivalent fluid model proposed by Johnson-Champoux-Allard. Each membrane inside each sub-cavity is characterized as a linear isotropic elastic material with free and fixed boundary conditions. Four transmission loss peaks are observed with the parallel assembly of four resonators without embedded membranes. For membranes with free boundary conditions inside each sub-cavity, eight resonant transmission loss peaks are obtained and for fixed boundary conditions, the transmission loss presents multiple resonant frequencies. The proposed acoustic metamaterial design can be used in many industrial applications for multi-total noise reduction.
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