Power series expansions in are derived for the pressure at the edge of a radiator, the reaction force on the radiator, and the total radiated power arising from a harmonically excited, resilient, flat, circular radiator of radius in an infinite baffle. The velocity profiles on the radiator are either Stenzel functions , with the radial coordinate on the radiator, or linear combinations of Zernike functions , with the Legendre polynomial of degree . Both sets of functions give rise, via King’s integral for the pressure, to integrals for the quantities of interest involving the product of two Bessel functions. These integrals have a power series expansion and allow an expression in terms of Bessel functions of the first kind and Struve functions. Consequently, many of the results in [M. Greenspan, J. Acoust. Soc. Am. 65, 608–621 (1979)] are generalized and treated in a unified manner. A foreseen application is for loudspeakers. The relation between the radiated power in the near-field on one hand and in the far field on the other is highlighted.
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October 2009
October 01 2009
Sound radiation quantities arising from a resilient circular radiator
Ronald M. Aarts;
Ronald M. Aarts
a)
Philips Research Europe
, HTC 36 (WO-02), NL-5656AE Eindhoven, The Netherlands
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Augustus J. E. M. Janssen
Augustus J. E. M. Janssen
Philips Research Europe
, HTC 36 (WO-02), NL-5656AE Eindhoven, The Netherlands
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a)
Author to whom correspondence should be addressed. Electronic mail: ronald.m.aarts@philips.com. Also at: Technical University Eindhoven, Den Dolech 2, PT3.23, P.O. Box 513, NL-5600MB Eindhoven, The Netherlands.
J. Acoust. Soc. Am. 126, 1776–1787 (2009)
Article history
Received:
November 03 2008
Accepted:
July 27 2009
Citation
Ronald M. Aarts, Augustus J. E. M. Janssen; Sound radiation quantities arising from a resilient circular radiator. J. Acoust. Soc. Am. 1 October 2009; 126 (4): 1776–1787. https://doi.org/10.1121/1.3206580
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