A novel boundary integral formulation for three-dimensional analysis of thin acoustic barriers over an impedance plane

This article presents a three-dimensional formulation for the analysis of acoustic barriers over an impedance plane as infinitely thin structures. The barriers are therefore modeled as simple surfaces rather than volumetric structures. Using this approach, the problems caused by near-singular integrations and near-degenerate systems of equations are averted, and mesh generation is made easier. A dual-boundary-element method is used in the analysis, involving the simultaneous solution of standard and hypersingular boundary integral equations. An optimization procedure is used to speed up the assembling of the system of equations, increasing the applicability of the method to a wider range of frequencies.

[1]  S. Chandler-Wilde,et al.  Efficient calculation of the green function for acoustic propagation above a homogeneous impedance plane , 1995 .

[2]  Luiz C. Wrobel,et al.  A DUAL BOUNDARY ELEMENT FORMULATION FOR SOUND PROPAGATION AROUND BARRIERS OVER AN IMPEDANCE PLANE , 1997 .

[3]  Yijun Liu,et al.  Boundary integral equations for thin bodies , 1994 .

[4]  S. Chandler-Wilde,et al.  EFFICIENCY OF SINGLE NOISE BARRIERS , 1991 .

[5]  T. Terai.  On calculation of sound fields around three dimensional objects by integral equation methods , 1980 .

[6]  T. Kawai,et al.  Sound propagation above an impedance boundary , 1982 .

[7]  J. Telles.  A self-adaptive co-ordinate transformation for efficient numerical evaluation of general boundary element integrals , 1987 .

[8]  Chen-Fu Chien,et al.  Sound propagation along an impedance plane , 1975 .

[9]  S. Chandler-Wilde,et al.  Sound propagation above an inhomogeneous impedance plane , 1985 .

[10]  K. Attenborough.  Acoustical impedance models for outdoor ground surfaces , 1985 .

[11]  Alan R. Wenzel,et al.  Propagation of waves along an impedance boundary , 1974 .

[12]  Sven‐Ingvar Thomasson.  Reflection of waves from a point source by an impedance boundary , 1976 .

[13]  Y. Kawai,et al.  The application of integral equation methods to the calculation of sound attenuation by barriers , 1990 .

[14]  E. N. Bazley,et al.  Acoustical properties of fibrous absorbent materials , 1970 .

[15]  U. Ingard.  On the Reflection of a Spherical Sound Wave from an Infinite Plane , 1951 .