On the spherical expansion for calculating the sound radiated by a baffled circular piston

Zhong, J; Qiu, X

On the spherical expansion for calculating the sound radiated by a baffled circular piston

Zhong, J

Qiu, X

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Publisher:: World Scientific Pub Co Pte Lt
Publication Type:: Journal Article
Citation:: Journal of Theoretical and Computational Acoustics, 2020, pp. 2050026-2050026
Issue Date:: 2020-12-10

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Field	Value	Language
dc.contributor.author	Zhong, J https://orcid.org/0000-0002-9972-8004
dc.contributor.author	Qiu, X
dc.date.accessioned	2021-04-28T06:02:07Z
dc.date.available	2021-04-28T06:02:07Z
dc.date.issued	2020-12-10
dc.identifier.citation	Journal of Theoretical and Computational Acoustics, 2020, pp. 2050026-2050026
dc.identifier.issn	2591-7285
dc.identifier.issn	2591-7811
dc.identifier.uri	http://hdl.handle.net/10453/148461
dc.description.abstract	<jats:p> An efficient and accurate method for calculating the sound radiated by a baffled circular rigid piston is using spherical harmonics, and the solution is a series containing the integral of spherical Bessel functions. The integral is usually calculated with the generalized hypergeometric functions in existing literatures, which shows poor convergence at middle and high frequencies due to the overflow and the loss of significant figures. A rigorous and closed form solution of the integral is derived in this paper based on the recurrence method, which is accurate in the whole frequency range and thousands of times faster than the existing methods. It is shown that the proposed method can be extended for the calculation of the sound radiated by a baffled piston and an unbaffled resilient disk with axisymmetric velocity and pressure profiles, respectively, and some baffled rotating sources where the velocity profile is asymmetric. </jats:p>
dc.language	en
dc.publisher	World Scientific Pub Co Pte Lt
dc.relation.ispartof	Journal of Theoretical and Computational Acoustics
dc.relation.isbasedon	10.1142/s2591728520500267
dc.rights	info:eu-repo/semantics/openAccess
dc.title	On the spherical expansion for calculating the sound radiated by a baffled circular piston
dc.type	Journal Article
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Mechanical and Mechatronic Engineering
utslib.copyright.status	open_access	*
dc.date.updated	2021-04-28T06:02:06Z
pubs.publication-status	Published online

Abstract:

An efficient and accurate method for calculating the sound radiated by a baffled circular rigid piston is using spherical harmonics, and the solution is a series containing the integral of spherical Bessel functions. The integral is usually calculated with the generalized hypergeometric functions in existing literatures, which shows poor convergence at middle and high frequencies due to the overflow and the loss of significant figures. A rigorous and closed form solution of the integral is derived in this paper based on the recurrence method, which is accurate in the whole frequency range and thousands of times faster than the existing methods. It is shown that the proposed method can be extended for the calculation of the sound radiated by a baffled piston and an unbaffled resilient disk with axisymmetric velocity and pressure profiles, respectively, and some baffled rotating sources where the velocity profile is asymmetric.

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http://hdl.handle.net/10453/148461