无限大法兰盘中圆形孔径广义辐射阻抗的再扩展方法。
Re-expansion method for generalized radiation impedance of a circular aperture in an infinite flange.
作者信息
Homentcovschi Dorel, Bercia Romeo
机构信息
Department of Mechanical Engineering, State University of New York Binghamton, Binghamton, New York 13902-6000, USA.
Department of Applied Mathematics, Politehnica University of Bucharest, Bucharest, RO-060040, Romania.
出版信息
J Acoust Soc Am. 2018 Jul;144(1):32. doi: 10.1121/1.5044745.
The paper applies the re-expansion method to analyze the sound radiation from a flanged circular pipe. The axial velocity in the aperture is expressed by means of some orthogonal polynomials combining the properties of Jacobi's polynomials and hypergeometric functions, and also accounting for the velocity singularities at the edge points of the aperture. This makes it possible to reveal the physical parameters of the problem with a very limited number of terms. Besides the classical case when the flange covers the whole plane outside the pipe, the method also permits one to study also the case of the flange extending with zero thickness over a part of the circular pipe. Finally, the paper includes the extension of the results beyond the plane wave region achieving good accuracy and convergence.
本文应用重新展开法分析带凸缘圆管的声辐射。通过结合雅可比多项式和超几何函数的性质并考虑孔径边缘点处的速度奇异性，用一些正交多项式来表示孔径处的轴向速度。这使得能用非常有限的项数揭示问题的物理参数。除了凸缘覆盖管道外部整个平面的经典情况外，该方法还允许研究凸缘以零厚度延伸到圆管一部分的情况。最后，本文将结果扩展到平面波区域之外，实现了良好的精度和收敛性。
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