Efficient calculation of twodimensional periodic and waveguide acoustic Green's functions.
Publication date
20090706T13:08:37ZKeyword
IntegrationAcoustic wave propagation,
Acoustic wave scattering
Green's function methods
Acoustic waveguides
Acoustic field
Atmospheric acoustics
Boundaryelements methods
Laplace transforms
Acoustic radiators
Acoustic impedance
PeerReviewed
Yes
Metadata
Show full item recordAbstract
New representations and efficient calculation methods are derived for the problem of propagation from an infinite regularly spaced array of coherent line sources above a homogeneous impedance plane, and for the Green's function for sound propagation in the canyon formed by two infinitely high, parallel rigid or sound soft walls and an impedance ground surface. The infinite sum of source contributions is replaced by a finite sum and the remainder is expressed as a Laplacetype integral. A pole subtraction technique is used to remove poles in the integrand which lie near the path of integration, obtaining a smooth integrand, more suitable for numerical integration, and a specific numerical integration method is proposed. Numerical experiments show highly accurate results across the frequency spectrum for a range of ground surface types. It is expected that the methods proposed will prove useful in boundary element modeling of noise propagation in canyon streets and in ducts, and for problems of scattering by periodic surfaces.Version
No fulltext available in the repositoryCitation
Horoshenko, K.V. and ChandlerWilde, S.N. (2002). Efficient calculation of twodimensional periodic and waveguide acoustic Green's functions. The Journal of the Acoustical Society of America. Vol. 111, No. 4, pp. 16101622.Link to published version
http://scitation.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&id=JASMAN000111000004001610000001&idtype=cvips&prog=normalType
ArticleCollections
Related items
Showing items related by title, author, creator and subject.

Experimental Investigation of the effects of water saturation on the acoustic admittance of sandy soils.Horoshenkov, Kirill V.; Mohamed, Mostafa H.A. (2006)A novel technique for the laboratory characterization of the frequencydependent acoustic surface admittance of partly saturated samples of sands is presented. The technique is based on a standard laboratory dewatering apparatus coupled with a standard acoustic impedance tube. The dependence of the surface admittance on the degree of water saturation is investigated for two samples of sand with widely different flow resistivities. It is shown that a relatively small change (e.g., from 0% to 11% by volume) in the degree of water saturation can result in a much larger change (e.g., twofold) in the acoustic surface admittance. An empirical relationship is found between the peaks observed in the real part of admittance spectra for the low flow resistivity sand and the degree of water saturation. The data are compared with predictions of two widely used ground impedance models: a semiempirical single parameter model and a two parameter model. A modified twoparameter version of a singleparameter model is found to give comparable fit to the twoparameter model. However, neither model provides an accurate fit.

Attenuation of the higherorder crosssectional modes in a duct with a thin porous layerHoroshenkov, Kirill V.; Yin, Y. (2005)A numerical method for sound propagation of higherorder crosssectional modes in a duct of arbitrary crosssection and boundary conditions with nonzero, complex acoustic admittance has been considered. This method assumes that the crosssection of the duct is uniform and that the duct is of a considerable length so that the longitudinal modes can be neglected. The problem is reduced to a twodimensional (2D) finite element (FE) solution, from which a set of crosssectional eigenvalues and eigenfunctions are determined. This result is used to obtain the modal frequencies, velocities and the attenuation coefficients. The 2D FE solution is then extended to threedimensional via the normal mode decomposition technique. The numerical solution is validated against experimental data for sound propagation in a pipe with inner walls partially covered by coarse sand or granulated rubber. The values of the eigenfrequencies calculated from the proposed numerical model are validated against those predicted by the standard analytical solution for both a circular and rectangular pipe with rigid walls. It is shown that the considered numerical method is useful for predicting the sound pressure distribution, attenuation, and eigenfrequencies in a duct with acoustically nonrigid boundary conditions. The purpose of this work is to pave the way for the development of an efficient inverse problem solution for the remote characterization of the acoustic boundary conditions in natural and artificial waveguides.

A method to calculate the acoustic response of a thin, baffled, simply supported poroelastic plate.Horoshenkov, Kirill V.; Sakagami, K (2001)The Helmholtz integral equation formulation is used to produce the solution for the acoustic field reflected from a finite, thin, poroelastic plate in a rigid baffle with simply supported edges. The acoustic properties of the porous material are predicted using the effective fluid assumption. The solutions for the displacement of the plate and for the loading acoustic pressures are given in the form of the sine transform. The sine transform coefficients are obtained from the solution of a system of linear equations resulting from three integral Helmholtz formulations which relate the displacement of the plate and the acoustic pressures on the front and on the back of the plate. The effect of an air gap behind the plate in the front of a rigid wall is also considered. A parametric study is performed to predict the effect of variations in the parameters of the poroelastic plate. It is shown that thin, light, poroelastic plates can provide high values of the acoustic absorption even for low frequency sound. This effect can be exploited to design compact noise control systems with improved acoustic performance.