On the sound field from a source moving above non-locally reacting grounds

Y Wang; K. M. Li; D Dragna; P Blanc-Benon

doi:10.1016/j.jsv.2019.114975

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On the sound field from a source moving above non-locally reacting grounds

Journal article

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Peer reviewed

On the sound field from a source moving above non-locally reacting grounds

Y Wang, K. M. Li, D Dragna and P Blanc-Benon

Journal of sound and vibration, Vol.464, p.114975

01/2020

DOI: https://doi.org/10.1016/j.jsv.2019.114975

Handle:

https://hdl.handle.net/2376/119684

Appears in Aviation Sustainability Center (ASCENT)

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Abstract

Engineering Sciences

Acoustics

This paper investigates the sound fields generated by a source moving horizontally at a constant speed above a non-locally reacting flat ground. The present study offers an extension of an earlier study that focused on sound fields owing to a moving source above a locally reacting ground. However, a locally reacting ground model may not be sufficient for many acoustic “soft” grounds such as snow-covered ground or a layer of sound-absorbing materials. An integral representation for the sound fields is obtained by means of a Lorentz transform. Further analysis using the steepest descent method is then applied and leads to a uniform asymptotic approximation for the total sound fields. The explicit connection between the Lorentz frame and the physical space is explored. This allows for a closed-form analytical expression written in the emission time frame for arbitrary spatial locations of a moving source and stationary receiver. The asymptotic solution is validated by comparing it with a direct numerical solution of the time-domain linearized Euler equations. The analytical solution, which is referred to as the Dopplerized Weyl-van der Pol (D-WVDP) formula, generalizes the earlier theoretical results to allow for the source motion and non-locally reacting ground surfaces. An approximation scheme can further be identified, and its range of validity is discussed.

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Details

Title: On the sound field from a source moving above non-locally reacting grounds
Creators: Y Wang - Ray W. Herrick Laboratories
K. M. Li - Purdue University West Lafayette
D Dragna - Université Claude Bernard Lyon 1
P Blanc-Benon - Laboratoire de Mécanique des Fluides et d'Acoustique
Publication Details: Journal of sound and vibration, Vol.464, p.114975
Academic Unit: Aviation Sustainability Center (ASCENT); Noise
Publisher: Elsevier
Grants: 13-C-AJFE-PU-02, 09, Federal Aviation Administration (United States, Washington) - FAA
13-C-AJFE-PU-14, 20, Federal Aviation Administration (United States, Washington) - FAA
Identifiers: 99900620465701842
Language: English
Resource Type: Journal article