The Frequency Spectrum of a Harmonically Radiating Monopole Moving along Arbitrary Trajectories with Application to Helical Orbits

Author:

Ochmann Martin1ORCID

Affiliation:

1. Emeritus Berliner Hochschule für Technik - University of Applied Sciences, Franziusweg 15, 12307 Berlin, Germany

Abstract

The sound field of a harmonically radiating monopole moving along arbitrary trajectories in three-dimensional space is studied in the frequency range and represented as a convolution integral in Cartesian coordinates. The observation time of the motion of the source can be finite or infinite. This convolution integral is referred to as the “Cartesian Convolution Integral ” and is applied to point sources moving on special orbits described by circular and conical helices. For such helical orbits, an alternative approach in cylindrical or spherical coordinates leads to closed form expressions in the form of infinite series for the frequency spectra. The comparison of the results of the Cartesian Convolution Integral with those of the series expansion shows a very good agreement. Finally, the Cartesian Convolution Integral is used to calculate the spectral sound field of a source moving along an elliptical helix.

Funder

Deutsche Forschungsgemeinschaft

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Computer Science Applications,Acoustics and Ultrasonics

Cited by 1 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A Boundary Element Method for Acoustic Problems in Relative Motion Between Source and Fluid;Journal of Theoretical and Computational Acoustics;2023-11-24

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