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Title: A wavenumber approach to analysing the active control of plane waves with arrays of secondary sources
Authors: Elliott, Stephen J.
Cheer, Jordan
Bhan, Lam
Shi, Chuang
Gan, Woon-Seng
Keywords: DRNTU::Engineering::Electrical and electronic engineering
Feedforward Control
Active Noise Control
Issue Date: 2018
Source: Elliott, S. J., Cheer, J., Bhan, L., Shi, C., & Gan, W.-S. (2018). A wavenumber approach to analysing the active control of plane waves with arrays of secondary sources. Journal of Sound and Vibration, 419, 405-419. doi:10.1016/j.jsv.2018.01.028
Series/Report no.: Journal of Sound and Vibration
Abstract: The active control of an incident sound field with an array of secondary sources is a fundamental problem in active control. In this paper the optimal performance of an infinite array of secondary sources in controlling a plane incident sound wave is first considered in free space. An analytic solution for normal incidence plane waves is presented, indicating a clear cut-off frequency for good performance, when the separation distance between the uniformly-spaced sources is equal to a wavelength. The extent of the near field pressure close to the source array is also quantified, since this determines the positions of the error microphones in a practical arrangement. The theory is also extended to oblique incident waves. This result is then compared with numerical simulations of controlling the sound power radiated through an open aperture in a rigid wall, subject to an incident plane wave, using an array of secondary sources in the aperture. In this case the diffraction through the aperture becomes important when its size is compatible with the acoustic wavelength, in which case only a few sources are necessary for good control. When the size of the aperture is large compared to the wavelength, and diffraction is less important but more secondary sources need to be used for good control, the results then become similar to those for the free field problem with an infinite source array.
ISSN: 0022-460X
DOI: 10.1016/j.jsv.2018.01.028
Rights: © 2018 Elsevier Ltd. All rights reserved. This paper was published in Journal of Sound and Vibration and is made available with permission of Elsevier Ltd.
Fulltext Permission: open
Fulltext Availability: With Fulltext
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