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Research Papers

Modeling and Experimental Investigation of a Helmholtz Resonator With a Flexible Plate

[+] Author and Article Information
Shahin S. Nudehi

Assistant Professor
e-mail: shahin.nudehi@valpo.edu

G. Scott Duncan

Associate Professor
e-mail: scott.duncan@valpo.edu
Mechanical Engineering Department,
Valparaiso University,
Valparaiso, IN 46383

Umar Farooq

Eaton Corporation,
2425 W. Michigan Ave.,
Jackson, MI 49202
e-mail: umarfarooq@eaton.com

1Corresponding author.

Contributed by the Noise Control and Acoustics Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received May 10, 2011; final manuscript received January 27, 2013; published online June 6, 2013. Assoc. Editor: Lonny Thompson.

J. Vib. Acoust 135(4), 041102 (Jun 06, 2013) (6 pages) Paper No: VIB-11-1104; doi: 10.1115/1.4023810 History: Received May 10, 2011; Revised January 27, 2013

A Helmholtz resonator with a uniform, flexible end plate is studied in this work. This work shows that the flexible plate modifies the frequency response characteristics of the resonator, providing multiple distinct resonant frequencies instead of a single resonant frequency. Therefore, acoustical transmission loss will increase at each of the multiple resonant frequencies of the resonator and plate assembly versus at a single frequency for the unmodified Helmholtz resonator. By using receptance coupling as the modeling approach, the receptance of the Helmholtz resonator and flexible plate assembly is predicted by coupling receptance models of an unmodified Helmholtz resonator and a clamped plate. Finally, the predicted receptance of the Helmholtz resonator and flexible plate assembly is compared against experimental results.

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Figures

Grahic Jump Location
Fig. 1

Assembly with two subsystems B and C

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Fig. 2

Schematic of a Helmholtz resonator

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Fig. 3

Schematic of the Helmholtz resonator with a flexible end plate

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Fig. 4

Predicted receptance results

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Fig. 5

Predicted transmission loss results

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Fig. 6

Experimental setup

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Fig. 7

Experimental and predicted results of unmodified Helmholtz resonator receptance

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Fig. 8

Experimental and simulation results of Helmholtz resonator with flexible end plate receptance

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