Finite element design of acoustic metamaterial based on parallel Helmholtz resonators with embedded membranes
Abstract
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.
Additional Files
Published
How to Cite
Issue
Section
License
Author Licensing Addendum
This Licensing Addendum ("Addendum") is entered into between the undersigned Author(s) and Canadian Acoustics journal published by the Canadian Acoustical Association (hereinafter referred to as the "Publisher"). The Author(s) and the Publisher agree as follows:
-
Retained Rights: The Author(s) retain(s) the following rights:
- The right to reproduce, distribute, and publicly display the Work on the Author's personal website or the website of the Author's institution.
- The right to use the Work in the Author's teaching activities and presentations.
- The right to include the Work in a compilation for the Author's personal use, not for sale.
-
Grant of License: The Author(s) grant(s) to the Publisher a worldwide exclusive license to publish, reproduce, distribute, and display the Work in Canadian Acoustics and any other formats and media deemed appropriate by the Publisher.
-
Attribution: The Publisher agrees to include proper attribution to the Author(s) in all publications and reproductions of the Work.
-
No Conflict: This Addendum is intended to be in harmony with, and not in conflict with, the terms and conditions of the original agreement entered into between the Author(s) and the Publisher.
-
Copyright Clause: Copyright on articles is held by the Author(s). The corresponding Author has the right to grant on behalf of all Authors and does grant on behalf of all Authors, a worldwide exclusive license to the Publisher and its licensees in perpetuity, in all forms, formats, and media (whether known now or created in the future), including but not limited to the rights to publish, reproduce, distribute, display, store, translate, create adaptations, reprints, include within collections, and create summaries, extracts, and/or abstracts of the Contribution.
