SOUND PROPAGATION OVER NOISE BARRIERS WITH ABSORBING GROUND (original) (raw)
Abstract
The main purpose of this article is to present a numerical method for calculating the sound pressure around noise barriers of arbitrary geometry. Varying impedance boundary conditions on the barrier and constant impedance on the ground are assumed. Sound propagation over an infinite barrier with a constant cross-section for an harmonic point source is determined by solving 2D problems only, avoiding the computational complexity of the solution of a true 3D problem. This can be done by using the solutions of a set of 2D models for a coherent line source for real and imaginary wavenumbers. This extension to calculations for imaginary wavenumbers is the main feature of the proposed method. A Fourier transform of the 2D solutions allows a calculation of the 3D solution for a point source. The 2D numerical solutions are obtained by a classical use of the Boundary Element Method. Moreover, the 2D Green function for imaginary wavenumbers in the case of a half-space bounded by a surface of uniform impedance is developed. Finally, examples are given to estimate the accuracy of the method and some practical cases of calculations around barriers are presented and compared with experimental data.
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References (23)
- R. S 1980 Journal of Sound and Vibration 73, 195-209. Diffraction of sound around barriers: use of the boundary elements technique.
- D. C. H, S. N. C-W and M. N. H 1991 Journal of Sound and Vibration 146, 303-322. Efficiency of single noise barriers.
- D. C. H, D. H. C and S. N. C-W 1991 Applied Acoustics 32, 269-287. The performance of T-profile and associated noise barriers.
- Y. K and T. T 1990 Applied Acoustics 31 101-117. The application of integral equation methods to the calculation of sound attenuation by barriers.
- H. A 1991 In Boundary Element Methods in Acoustics, 225-260, chap. 11. Computational mechanics publications. Amsterdam: Elsevier Applied Sciences. Applications in environmental noise.
- D. D 1994 PhD thesis, Ecole Nationale des Ponts et Chausse´es. L'acoustique des proble`mes couple´s fluide-structure: application au controˆle actif du son.
- D. D 1996 Journal of Sound and Vibration 197, 547-571. Efficient calculation of the three-dimensional sound pressure field around a noise barrier.
- U. I 1951 Journal of the Acoustical Society of America 23, 329-335. On the reflection of a spherical sound wave from an infinite plane.
- A. R. W 1974 Journal of the Acoustical Society of America 55, 956-963. Propagation of waves along an impedance boundary.
- S. I. T 1976 Journal of the Acoustical Society of America 59, 780-785. Reflection of waves from a point source by an impedance boundary.
- C. F. C and W. W. S 1975 Journal of Sound and Vibration 43, 9-20. Sound propagation along an impedance plane.
- C. F. C and W. W. S 1980 Journal of Sound and Vibration 69, 340-343. A note on the calculation of sound propagation along an impedance plane.
- S. I. T 1980 Acustica 45, 122-125. A powerful asymptotic solution for sound propagation above an impedance boundary.
- T. K, T. H and T. N 1982 Journal of Sound and Vibration 83, 125-138. Sound propagation above an impedance boundary.
- M. A. N and S. I. H 1985 Journal of the Acoustical Society of America 78, 1325-1336. Acoustic propagation over an impedance plane.
- Y. L. L, M. J. W and M. H. H 1994 Journal of the Acoustical Society of America 96, 2485-2490. Green's functions for wave propagation above an impedance ground.
- S. N. C-W and D. C. H 1985 Journal of Sound and Vibration 98, 475-491. Sound propagation above an inhomogeneous impedance plane.
- S. N. C-W and D. C. H 1995 Journal of Sound and Vibration 180, 705-724. Efficient calculation of the Green function for acoustic propagation above a homogeneous impedance plane.
- I. S. G and I. M. R 1980 Table of Integrals, Series and Products. New York: Academic Press.
- C. H. W 1975 volume 442 of Lecture Notes in Mathematics. Berlin: Spriger-Verlag Scattering Theory for the d'Alembert Equation in Exterior Domains.
- M. E. D and E. N. B 1970 Applied Acoustics 3, 105-116. Acoustical properties of fibrous absorbent materials.
- T. I, T. F. W. E and J. E. P 1980 Journal of the Acoustical Society of America 67, 46-58. Noise reduction by barriers on finite impedance ground.
- E. M. S, A. C. G and D. D 1997 Acta Acustica 83, 35-47. Comparison of a ray model and a Fourier-boundary element method for traffic noise situations with multiple diffractions and reflections.