Evaluation of Inverse Fourier Pressure Integrals for Finite Acoustic Sources on Cylindrical Baffles

IF 1.3 3区物理与天体物理 Q3 ACOUSTICS

Journal of Theoretical and Computational Acoustics Pub Date : 2019-11-08 DOI:10.1142/S259172851950004X

J. Valacas

引用次数: 0

Abstract

For various types of finite acoustic sources placed on an infinite cylindrical baffle, the pressure solution in cylindrical coordinates can be given by an infinite series of Inverse Fourier Integrals involving a singular quotient of Hankel functions. A hybrid method is introduced addressing these integrals’ singularity analytically and truncating their infinite integration range with predictable error. Maximum number of significant terms to be taken into account is discussed and determined. Results are obtained for a wide range of dimensionless frequency values ([Formula: see text]–100) and observation point distances ranging from 3 to 100 radii of the cylindrical baffle. As an application, the baffle diffraction step of the infinite cylindrical baffle is evaluated for the on-axis pressure of a uniformly-vibrating piston.

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圆柱挡板上有限声源的傅里叶反压力积分计算

对于放置在无限圆柱挡板上的各种类型的有限声源，柱坐标下的压力解可以由包含汉克尔函数奇异商的无穷级数的傅立叶反积分给出。提出了一种混合方法，解析地解决了这些积分的奇异性，截断了它们的无限积分范围，误差可预测。讨论并确定要考虑的重要术语的最大数目。结果得到了大范围的无量纲频率值([公式:见文本]-100)和观测点距离范围从3到100半径的圆柱形挡板。作为应用，计算了均匀振动活塞轴向压力下无限圆柱挡板的衍射阶跃。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Theoretical and Computational Acoustics Computer Science-Computer Science Applications

CiteScore

2.90

自引率

42.10%

发文量

期刊介绍： The aim of this journal is to provide an international forum for the dissemination of the state-of-the-art information in the field of Computational Acoustics. Topics covered by this journal include research and tutorial contributions in OCEAN ACOUSTICS (a subject of active research in relation with sonar detection and the design of noiseless ships), SEISMO-ACOUSTICS (of concern to earthquake science and engineering, and also to those doing underground prospection like searching for petroleum), AEROACOUSTICS (which includes the analysis of noise created by aircraft), COMPUTATIONAL METHODS, and SUPERCOMPUTING. In addition to the traditional issues and problems in computational methods, the journal also considers theoretical research acoustics papers which lead to large-scale scientific computations.