The sound power of a circular plate for high-frequency wave radiation

This paper gives an analysis of the sound power of a circular plate which vibrates at a frequency much higher than the resonance one. This analysis was carried out for Bessel axially-symmetric distributions of vibration velocity on the surface of a source placed in a rigid, planar baffle. An exact e...

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Main Author: Witold RDZANEK
Format: Article
Language:English
Published: Institute of Fundamental Technological Research Polish Academy of Sciences 2016-03-01
Series:Archives of Acoustics
Online Access:https://acoustics.ippt.pan.pl/index.php/aa/article/view/3263
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author Witold RDZANEK
author_facet Witold RDZANEK
author_sort Witold RDZANEK
collection DOAJ
description This paper gives an analysis of the sound power of a circular plate which vibrates at a frequency much higher than the resonance one. This analysis was carried out for Bessel axially-symmetric distributions of vibration velocity on the surface of a source placed in a rigid, planar baffle. An exact expression of the sound power of the vibrating circular plate was given in Hankel representation. It was assumed in a specific case that the source radiated waves at frequencies much higher than the resonance ones, permitting simplifications to be introduced in the subintegral function. As the final result of the analysis, an approximate expression was derived using the Cauchy theorem on residua. The expressions derived here are very useful and convenient for numerical calculations.
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institution Kabale University
issn 0137-5075
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language English
publishDate 2016-03-01
publisher Institute of Fundamental Technological Research Polish Academy of Sciences
record_format Article
series Archives of Acoustics
spelling doaj-art-d99bc42e61024822bba76dfb1ddcb5a92025-08-20T03:27:56ZengInstitute of Fundamental Technological Research Polish Academy of SciencesArchives of Acoustics0137-50752300-262X2016-03-0184The sound power of a circular plate for high-frequency wave radiationWitold RDZANEK0Pedagogical UniversityThis paper gives an analysis of the sound power of a circular plate which vibrates at a frequency much higher than the resonance one. This analysis was carried out for Bessel axially-symmetric distributions of vibration velocity on the surface of a source placed in a rigid, planar baffle. An exact expression of the sound power of the vibrating circular plate was given in Hankel representation. It was assumed in a specific case that the source radiated waves at frequencies much higher than the resonance ones, permitting simplifications to be introduced in the subintegral function. As the final result of the analysis, an approximate expression was derived using the Cauchy theorem on residua. The expressions derived here are very useful and convenient for numerical calculations.https://acoustics.ippt.pan.pl/index.php/aa/article/view/3263
spellingShingle Witold RDZANEK
The sound power of a circular plate for high-frequency wave radiation
Archives of Acoustics
title The sound power of a circular plate for high-frequency wave radiation
title_full The sound power of a circular plate for high-frequency wave radiation
title_fullStr The sound power of a circular plate for high-frequency wave radiation
title_full_unstemmed The sound power of a circular plate for high-frequency wave radiation
title_short The sound power of a circular plate for high-frequency wave radiation
title_sort sound power of a circular plate for high frequency wave radiation
url https://acoustics.ippt.pan.pl/index.php/aa/article/view/3263
work_keys_str_mv AT witoldrdzanek thesoundpowerofacircularplateforhighfrequencywaveradiation
AT witoldrdzanek soundpowerofacircularplateforhighfrequencywaveradiation