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- Title
Time-domain simulation of the acoustic nonlinear response of acoustic liners at high sound pressure level.
- Authors
Moufid, Ilyes; Roncen, Rémi; Matignon, Denis; Piot, Estelle
- Abstract
In the aeronautical field, numerical modeling of the acoustic response of liners at high sound pressure levels is done using impedance boundary conditions. The numerical studies are restricted to classical locally reacting liners with a known analytical expression of the impedance. In order to model numerically the acoustic response of a wider range of absorbent materials for which no impedance expression is known, this paper focuses on the numerical modeling of the acoustic response of perforated plate liners at high sound pressure levels in the time domain. To do so, a porous-based description of the perforated plate is used to represent the visco-thermal processes occurring inside the perforated plate. This is achieved through the use of the equivalent fluid model (EFM), which contains two irrational transfer functions described herein by a generic model that covers the Johnson–Champoux–Allard–Pride–Lafarge (JCAPL), the JCAL and JCA models. Nonlinear phenomena occurring at high sound pressure levels are taken into account by using Forchheimer's correction in the time-domain EFM, which introduces a quadratic nonlinearity in the equations. The formulation of the nonlinear EFM equations in the time domain leads to an augmented system for which a proof of stability is given thanks to a Lyapunov functional. An approximate model is built for numerical simulations from the nonlinear EFM using a multipole approximation of the transfer functions. Stability conditions sufficient for the nonlinear multipole-based approximate EFM are provided. A numerical scheme using a discontinuous Galerkin method is developed to validate the model against experiments with perforated plate liners.
- Subjects
SOUND pressure; ACOUSTIC models; QUADRATIC equations; TRANSFER functions; GALERKIN methods; FINITE difference time domain method
- Publication
Nonlinear Dynamics, 2024, Vol 112, Issue 5, p3133
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-023-09219-7