Nearfield acoustical holography (NAH) is a useful tool for visualizing noise sources. However, to avoid spatial Fourier transform-related truncation effects, the measurement, or hologram, surface must extend beyond the source to a region where the sound pressure drops to a level significantly lower than the peak level within the measurement aperture. Statistically optimized nearfield acoustical holography (SONAH), first derived by Steiner and Hald in planar geometry, is based on a formulation similar to that of NAH. However, in SONAH, surface-to-surface projection of the sound field is performed by using a transfer matrix defined in such a way that all propagating waves and a weighted set of evanescent waves are projected with optimal average accuracy: i.e., no spatial Fourier transforms are performed. Thus the requirement that the measurement surface be extended is eliminated without compromising the accuracy of the procedure. In the present work, SONAH was re-formulated in cylindrical coordinates and was applied to the measurement of the sound field radiated by a refrigeration compressor. It was found that it is possible to visualize source regions accurately by using SONAH while using fewer measurement positions than would be required to achieve a similar level of accuracy when using conventional NAH procedures.
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October 2005
October 01 2005
Source visualization by using statistically optimized near-field acoustical holography in cylindrical coordinates
Yong Thung Cho;
Ray W. Herrick Laboratories, School of Mechanical Engineering,
Purdue University
, 140 South Intramural Drive, West Lafayette, Indiana 47907-2031
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J. Stuart Bolton;
J. Stuart Bolton
Ray W. Herrick Laboratories, School of Mechanical Engineering,
Purdue University
, 140 South Intramural Drive, West Lafayette, Indiana 47907-2031
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Jørgen Hald
Jørgen Hald
Brüel & Kjær Sound & Vibration Measurement A/S
, Skodsborgvej 307, DK-2850 Nærum, Denmark
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a)
Corresponding author. Electronic mail: choy@purdue.edu
J. Acoust. Soc. Am. 118, 2355–2364 (2005)
Article history
Received:
November 02 2004
Accepted:
July 26 2005
Citation
Yong Thung Cho, J. Stuart Bolton, Jørgen Hald; Source visualization by using statistically optimized near-field acoustical holography in cylindrical coordinates. J. Acoust. Soc. Am. 1 October 2005; 118 (4): 2355–2364. https://doi.org/10.1121/1.2036252
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