Dual Helmholtz resonator |
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Authors: | MB Xu [Author Vitae] [Author Vitae] H Kim [Author Vitae] |
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Institution: | Department of Mechanical Engineering and The Center for Automotive Research, The Ohio State University, Columbus, OH 43210, United States |
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Abstract: | Acoustic characteristics of a dual Helmholtz resonator which consists of a pair of cylindrical neck and cavity connected in series (neck-cavity-neck-cavity) are established primarily in terms of a lumped-parameter theory. The results are then compared to (a) a two-dimensional analytical approach by applying a pressure/velocity matching technique for a piston-driven model; (b) a three-dimensional boundary element method for a pipe-mounted model; and (c) experiments on an impedance-tube test setup with one fabricated prototype installed in a sidebranch orientation (pipe-mounted model). Closed-form expressions have been developed in the present study for the resonance frequencies and the transmission loss of this two degree-of-freedom system based on the Newton’s second law of motion for a lumped system. The resonance frequencies and the transmission loss from this theory agree well with the analytical results, while showing a reasonable comparison with both the numerical predictions and the measurements. |
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Keywords: | Dual Helmholtz resonator |
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