THE APPLICATION OF INTEGRAL-EQUATION METHODS TO THE CALCULATION OF SOUND-ATTENUATION BY BARRIERS

被引：31

作者：

KAWAI, Y ^{[1
]}

TERAI, T ^{[1
]}

机构：

[1] KYOTO UNIV,FAC ENGN,DEPT ARCHITECTURE,SAKYO KU,KYOTO 606,JAPAN

来源：

APPLIED ACOUSTICS | 1990年 / 31卷 / 1-3期

关键词：

D O I：

10.1016/0003-682X(90)90055-Y

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

Diffracted fields by thin rigid or absorbent barriers are investigated theoretically by using integral equations derived from Helmholtz-Kirchhoff's formula and from its normal derivative. The surface of the barrier is divided into elements to solve the integral equations numerically and the potential is assumed to be uniform on each element. For the numerical treatment of the integral equations in three dimensions, the integral including the strongly singular kernel is evaluated by the line integral along the edge of the element; this reduces the amount of computation and avoids the difficulty due to singularity. A numerical method which removes the problem of singularity is also presented to solve the integral equations in two dimensions. Some numerical examples are presented to demonstrate the effectiveness of this method. Moreover, for a flat rigid barrier, farfield solutions in the high frequency range are evaluated asymptotically on the basis of Kirchhoff's boundary conditions and compared with exact solutions. © 1990.

引用

页码：101 / 117

页数：17

共 14 条

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