A detailed tutorial for evaluating in-duct net acoustic power transmission in a circular duct with an attached cylindrical Helmholtz resonator using transfer matrix method

Date

2008

Authors

Singh, S.
Hansen, C.
Howard, C.

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Conference paper

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Acoustics 2008: acoustics and sustainability : proceeding of the Annual Conference of the Australian Acoustical Society, 24-26 November 2008, Geelong, Victoria, Australia / Terrance Mc Minn (ed.): 1 p.

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Sarabjeet Singh, Colin H. Hansen and Carl Q. Howard

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Australian Acoustical Society. Conference (2008 : Geelong, Vic.)

Abstract

The transfer matrix method has been extensively explored by many researchers for analysing acoustic duct systems. However, there does not exist a comprehensive source that elaborates the use of transfer matrix method for evaluating the performance of acoustic filters. The current approach describes a detailed step-by-step method for evaluating in-duct net acoustic power transmission for a harmonic plane wave travelling in a circular duct with an attached cylindrical Helmholtz resonator using the transfer matrix method. The net acoustic power transmission is evaluated using two different methods: (1) the product of acoustic pressure and acoustic volume velocity at the duct exit, and (2) estimates of the in-duct sound field using the two-microphone technique.

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