Sound transmission across duct constrictions with and without tapered sections

Lau, Chi Keung Marco; Tang, Shiu Keung

doi:10.1121/1.1921549

Cited by 7 publications

(2 citation statements)

References 13 publications

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“…Suitable numerical methods include the standard finite element method (FEM) and the boundary element method (BEM). For example, Tang and Lau 8 , and later Lau and Tang 9 , used the standard FEM to study tapered and convergent-divergent sections in rectangular ducts, although both studies required a large number of degrees of freedom in order to obtain a converged solution. Jeong et al 10 reviewed the application of the BEM in rectangular ductwork and demonstrated that by discretising the duct into multiple domains one may generate an efficient BEM algorithm that may be applied to larger ductwork.…”

Section: Introductionmentioning

confidence: 99%

Modeling sound propagation in acoustic waveguides using a hybrid numerical method

Kirby

2008

The Journal of the Acoustical Society of America

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Sound propagation in an acoustic waveguide is examined using a hybrid numerical technique.Here, the waveguide is assumed to be infinite in length with an arbitrary but uniform crosssection. Placed centrally within the guide is a short component section with an irregular, nonuniform, shape. The hybrid method utilises a wave based modal solution for a uniform section of the guide and, using either a mode matching or point collocation approach, matches this to a standard finite element based solution for the component section. Thus, one needs only to generate a transverse finite element mesh in uniform sections of the waveguide and this significantly reduces the number of degrees of freedom required. Moreover, utilising a wave based solution removes the need to numerically enforce a non-reflecting boundary condition at infinity using a necessarily finite mesh, which is often encountered in studies that use only the standard finite element method. Accordingly, the component transmission loss may readily be computed and predictions are presented here for three examples: an expansion chamber, a converging-diverging duct and a circular cylinder. Good agreement with analytic models is observed, and transmission loss predictions are also presented for multi-mode incident and transmitted sound fields. Kirby, JASA 3

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Section: Introductionmentioning

confidence: 99%

Modeling sound propagation in acoustic waveguides using a hybrid numerical method

Kirby

2008

The Journal of the Acoustical Society of America

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“…17 The finite-element method can cater for any non-planar air motions at the mouths of the sidebranch tubes and thus should be more accurate than the simplified theory in Sec. II.…”

Section: The Computational Modelmentioning

confidence: 99%

Narrow sidebranch arrays for low frequency duct noise control

Tang

2012

The Journal of the Acoustical Society of America

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The present study investigates the sound transmission loss across a section of an infinitely long duct where one or more narrow sidebranch tubes are installed flushed with the duct wall. The finite-element method is used to compute the wave propagation characteristics, and a simplified theoretical analysis is carried out at the same time to explain the wave mechanism at frequencies of high sound reduction. Results show that the high sound transmission loss at a particular frequency is due to the concerted actions of three consecutive sidebranch tubes with the most upstream one in the resonant state. The expansion chamber effect of the setup also plays a role in enhancing sound attenuation at non-resonance frequencies. Broadband performance of the device can be greatly enhanced by appropriate arrangements of tube lengths and/or by coupling arrays on the two sides of the duct.

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Analysis of Sound Propagation Across Acoustic Ducts With Discontinuities Using a High Precision Finite Element Method

Zeng²,

Chen

2022

IEEE J. Multiscale Multiphys. Comput. Tech.

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Sound transmission across duct constrictions with and without tapered sections

Cited by 7 publications

References 13 publications

Modeling sound propagation in acoustic waveguides using a hybrid numerical method

Modeling sound propagation in acoustic waveguides using a hybrid numerical method

Narrow sidebranch arrays for low frequency duct noise control

Analysis of Sound Propagation Across Acoustic Ducts With Discontinuities Using a High Precision Finite Element Method

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