Nonlinear broadband time-domain admittance boundary condition for duct acoustics. Application to perforated plate liners

Diab, Daher; Dragna, Didier; Salze, Édouard; Galland, Marie‐Annick

doi:10.1016/j.jsv.2022.116892

Cited by 9 publications

(27 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The difference between our results and those of Ref. [26] are attributed here to a difference in the modeling of the non-linear effect. Instead of considering the non-linear contribution as a way to change the intrinsic parameters of the perforated plate (resistivity and tortuosity), we followed the rather simplified approach of Guess and directly updated the impedance by the experimental correlation of Eq.…”

Section: Grazing Impedance Tube Configurationcontrasting

confidence: 99%

“…14. Results for material M1 are qualitatively similar to those obtained by Diab et al [26]: an increase in the SPL leads to a more resistive impedance overall, leading to less absorption in the duct. The difference between our results and those of Ref.…”

Section: Grazing Impedance Tube Configurationsupporting

confidence: 85%

“…This should probably be the default, due to the ease of integration of this numerical procedure, and the resulting numerical efficiency. Note that for broadband signals, it might be more relevant to consider the root mean square velocity integrated over the entire frequency spectrum, as done by Diab et al [26].…”

Section: Non-linear Convolutionmentioning

confidence: 99%

“…Two theoretical liners are considered. The first one was introduced by Diab et al in their recent work [26], where the non-linear effects were integrated by modulating the coefficients of the ADE-TDABC (they used the admittance instead of the impedance but the strategy remains similar). In addition, a second liner configuration is also considered, for which the non-linear behavior is artificially changed by increasing the value of its α NL , which is given otherwise by the Guess model in Eq.…”

Section: Grazing Impedance Tube Configurationmentioning

confidence: 99%

“…the reflection coefficient, was numerically more efficient than the impedance operator in the non-linear case, while remaining equivalent in the linear case. Recently, Diab et al [26] showed that the poles and weights of the ADE-TDABC 1 were continuously varying as a function of the particle velocity, which led to a natural integration of the non-linear contribution, in time domain, of SDoF liners.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Generic and broadband non-linear time domain impedance boundary condition

Roncen

Cardesa

2023

Journal of Sound and Vibration

View full text Add to dashboard Cite

Section: Grazing Impedance Tube Configurationcontrasting

confidence: 99%

Section: Grazing Impedance Tube Configurationsupporting

confidence: 85%

Section: Non-linear Convolutionmentioning

confidence: 99%

Section: Grazing Impedance Tube Configurationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Generic and broadband non-linear time domain impedance boundary condition

Roncen

Cardesa

2023

Journal of Sound and Vibration

View full text Add to dashboard Cite

Time-domain simulation of the acoustic nonlinear response of acoustic liners at high sound pressure level

Moufid,

Roncen,

Matignon

et al. 2024

Nonlinear Dyn

View full text Add to dashboard Cite

This paper focuses on the numerical modeling of the acoustic response of perforated-plate liners at high sound pressure levels in the time domain. In order to do so, a porous-based description of the perforated plate is used to represent the visco-thermal processes occurring inside the perforated plate. It is done through the use of the equivalent fluid model (EFM) containing two irrational transfer functions described herein by a generic model covering the Johnson Champoux Allard Pride Lafarge model (JCAPL), the JCAL and JCA models. The nonlinear phenomena occurring at high sound pressure levels are taken into account by using the Forchheimer's correction in the time-domain EFM, introducing 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. From the nonlinear EFM, an approximate model is built for numerical simulations with a multipole approximation of the transfer functions. Sufficient stability conditions are provided for the nonlinear multipolebased approximate EFM. A numerical scheme using a discontinuous Galerkin method is developed to validate the model against experiments with perforated-plate liners.

show abstract