Acoustics of a flanged cylindrical pipe using singular basis functions
Acoustics of a flanged cylindrical pipe using singular basis functions
复制标题
使用奇异基函数的法兰圆柱形管道的声学
DOI：
10.1121/1.428254
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发表时间：
2000
期刊：
影响因子：
--
通讯作者：
Shtrikman
中科院分区：
文献类型：
--
作者：
Amir;Matzner;Shtrikman
许多论文都讨论了带有无限法兰的圆柱形管道的声辐射问题。最常见的方法是在贝塞尔函数的基础上分解管道内的场。通常需要大量的基函数，并且解中会出现很大程度的波纹。本文表明，对拐角附近速度场的仔细分析产生了一系列新的函数，称为“边缘函数”。使用这组函数作为测试函数，并在波导和自由空间之间的边界上应用矩法，得到了收敛性能大大提高且无波纹的解。
The problem of acoustic radiation from a cylindrical pipe with an infinite flange has been discussed in a number of papers. The most common approach is to decompose the field inside the pipe over a basis of Bessel functions. A very large number of basis functions is usually required, with a large degree of ripple appearing as an artifact in the solution. In this paper it is shown that a close analysis of the velocity field near the corner yields a new family of functions, which are called "edge functions." Using this set of functions as test functions and applying the moment method on the boundary between the waveguide and free space, a solution is obtained with greatly improved convergence properties and no ripple.