Acoustic analysis of a rectangular cavity with general impedance boundary conditions

Du, Jingtao; Li, Wen L.; Liu, Zhi G.; Xu, Hong A.; Ji, Zhen L.

doi:10.1121/1.3605534

Cited by 81 publications

(36 citation statements)

References 12 publications

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“…This problem is mathematically related to the inability to converge of the traditional Fourier series on the boundaries of a domain under general boundary conditions. To overcome this difficulty, in this study, a 3-D version of an improved Fourier series representation previously developed for the in-plane vibrations of elastically restrained plates will be used to expand the sound pressure inside the cavity [9].…”

Section: Improved Fourier Series Representation Of Admissible Functionmentioning

confidence: 99%

Acoustic Analysis of Enclosed Sound Space as well as Its Coupling with Flexible Boundary Structure

Du¹,

Liu²,

Liu³

2018

Computational and Experimental Studies of Acoustic Waves

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Combustion instability is often encountered in various power systems, a good understanding on the sound field in acoustic cavity as well as its coupling with boundary flexible structure will be of great help for the reliability design of such combustion system. An improved Fourier series method is presented for the acoustic/vibro-acoustic modelling of acoustic cavity as well as the panel-cavity coupling system. The structuralacoustic coupling system is described in a unified pattern using the energy principle. With the aim to construct the admissible functions sufficiently smooth for the enclosed sound space as well as the flexible boundary structure, the boundary-smoothed auxiliary functions are introduced to the standard multi-dimensional Fourier series. All the unknown coefficients and higher order variables are determined in conjunction with Rayleigh-Ritz procedure and differential operation term by term. Numerical examples are then presented to show the correctness and effectiveness of the current model. The model is verified through the comparison with those from analytic solution and other approaches. Based on the model established, the influence of boundary conditions on the acoustic and/or vibro-acoustic characteristics of the structural-acoustic coupling system is addressed and investigated.

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Section: Improved Fourier Series Representation Of Admissible Functionmentioning

confidence: 99%

Acoustic Analysis of Enclosed Sound Space as well as Its Coupling with Flexible Boundary Structure

Du¹,

Liu²,

Liu³

2018

Computational and Experimental Studies of Acoustic Waves

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“…There are numerous analytical works that demonstrated the influence of dissipative material on the walls of an enclosure [Bruneau et al, 1985;Du et al, 2011;Lanoye et al, 2008;Martin and Bodrero, 1997;Pan et al, 1999;Suzuki et al, 1989]. They showed that the interior noise of an enclosure can be reduced especially if the placement of sound absorption materials is optimized.…”

Section: Sound Absorption Materialsmentioning

confidence: 99%

Acoustic Metamaterials: A Potential for Cabin Noise Control in Automobiles and Armored Vehicles

Ang

Koh²,

Lee

2016

Int. J. Appl. Mechanics

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The aim of this paper is to provide an overview of the existing industrial practices used for cabin noise control in various industries such as automotive, marine, aerospace, and defense. However, emphasis is placed on automobiles and armored vehicles. Generally, automobile cabins usually constitute of thin structural panels, where the fundamental frequency typically falls below 200[Formula: see text]Hz. If a specific structural mode couples with a specific acoustic mode of the cabin, booming noise occurs. As such, discomfort may be felt by the occupants. Fundamentally, vibroacoustics problems may be minimized if the acoustic modes and the structural modes are decoupled, which is achieved usually by structural modifications or acoustical treatments. However, if excessively performed, the weight limitation of an automobile design will be exceeded; not to mention the adverse effect of increased weight on several factors such as fuel efficiency, mileage life of tires and acceleration of the vehicle. Moreover, current solutions have several drawbacks in low frequency noise control. In light of this, it is of great interest to explore the feasibility of acoustic metamaterials as an alternative with hope to improve cabin noise.

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“…Other than Thorsson's study [14], one can refer to works by Namba and Fukushige [15] and Selamet et al [16] who showed that coupling porous materials and resonators is efficient in the context of attenuation of sound propagation in ducts. A recent work by Du et al [17] proposed a model for studying the effect of non-uniform impedance boundary conditions on rectangular cavities and showed that decay times strongly vary depending on the distribution. Therefore, there is still a need to study non-uniform admittance profiles in the context of outdoor noise abatement systems.…”

Section: Introductionmentioning

confidence: 99%

Scattering by a cylinder covered with an arbitrary distribution of impedance and application to the optimization of a tramway noise abatement system

Jolibois

Duhamel

Sparrow

et al. 2012

Journal of Sound and Vibration

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International audience"A semi-analytical solution for the two-dimensional scattering of a line source by a cylinder with an arbitrary distribution of surface impedance and its image with respect to a vertical baffle is derived. This description is used to model the shadowing due to a low-height semi-cylindrical noise barrier close to a tramway. After validation against the boundary element method, this solution is used in a gradient-based optimization approach of the admittance distribution to maximize the broadband insertion loss in a given receiver zone. First, a hypothetical but passive distribution is found, showing an improvement of more than 20 dB(A) with respect to a purely rigid barrier. Second, a feasible optimized surface treatment made of a porous layer and a micro-perforated resonant panel is proposed, with an improvement of 14 dB(A) with respect to an entirely rigid barrier and 8 dB(A) with respect to a uniform absorbent barrier. The optimization provides an automatic way of tuning the resonant panel so that the attenuation is enhanced in the frequency band where the source has the most spectral content. The benefit of using a non-uniform admittance distribution is evaluated in this idealized context to be about 8 dB.

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Acoustic analysis of a rectangular cavity with general impedance boundary conditions

Cited by 81 publications

References 12 publications

Acoustic Analysis of Enclosed Sound Space as well as Its Coupling with Flexible Boundary Structure

Acoustic Analysis of Enclosed Sound Space as well as Its Coupling with Flexible Boundary Structure

Acoustic Metamaterials: A Potential for Cabin Noise Control in Automobiles and Armored Vehicles

Scattering by a cylinder covered with an arbitrary distribution of impedance and application to the optimization of a tramway noise abatement system

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