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Eigenfrequency of a Helmholtz resonator at the wall of a rectangular duct

  • Classical Problems of Linear Acoustics and Wave Theory
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Abstract

The eigenfrequency of a Helmholtz resonator fixed at the wall of a rectangular duct is estimated. Special attention is given to determining the attached length of the resonator neck as viewed from the duct. The dependences of the attached neck length and the eigenfrequency on the duct configuration are analyzed. Theoretical results are compared with the data of numerical calculations performed by the finite-element method.

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References

  1. D. D. Davis, G. M. Stokes, D. Moor, and G. L. Stevens, NASA Report, No. 1192, 48 (1954).

    Google Scholar 

  2. M. Alster, J. Sound Vibr. 24, 63 (1972).

    Article  ADS  Google Scholar 

  3. P. K. Tang and W. A. Sirignano, J. Sound Vibr. 26, 247 (1973).

    Article  ADS  MATH  Google Scholar 

  4. A. D. Lapin, Acoust. Phys. 45, 332 (1999).

    ADS  Google Scholar 

  5. R. C. Chanaud, J. Sound Vibr. 178, 337 (1994).

    Article  ADS  Google Scholar 

  6. R. L. Panton and J. M. Miller, J. Acoust. Soc. Am. 57, 1533 (1975).

    Article  ADS  Google Scholar 

  7. U. Ingard, J. Acoust. Soc. Am. 25, 1037 (1953).

    Article  ADS  Google Scholar 

  8. A. I. Komkin, M. A. Mironov, and S. I. Yudin, Acoust. Phys. 58, 62877 (2012).

    Article  Google Scholar 

  9. A. N. Norris and I. C. Sheng, J. Sound Vibr. 135, 85 (1989).

    Article  ADS  Google Scholar 

  10. A. Selamet and Z. L. Ji, J. Acoust. Soc. Am. 107, 2360 (2000).

    Article  ADS  Google Scholar 

  11. U. Ingard, Noise Reduction Analysis (Jones and Bartlett, Sudbury, Massachusetts, 2010).

    Google Scholar 

  12. A. I. Komkin and M. A. Mironov, Acoust. Phys. 59, 257 (2013).

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Bauman Moscow State Technical University, Vtoraya Baumanskaya ul. 5, Moscow, 105005, Russia

    A. I. Komkin & S. I. Yudin

  2. Andreev Acoustics Institute, ul. Shvernika 4, Moscow, 117036, Russia

    M. A. Mironov

Authors
  1. A. I. Komkin
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  2. M. A. Mironov
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  3. S. I. Yudin
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Corresponding author

Correspondence to A. I. Komkin.

Additional information

Original Russian Text © A.I. Komkin, M.A. Mironov, S.I. Yudin, 2014, published in Akusticheskii Zhurnal, 2014, Vol. 60, No. 2, pp. 145–151.

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Komkin, A.I., Mironov, M.A. & Yudin, S.I. Eigenfrequency of a Helmholtz resonator at the wall of a rectangular duct. Acoust. Phys. 60, 142–147 (2014). https://doi.org/10.1134/S1063771014020109

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  • DOI: https://doi.org/10.1134/S1063771014020109

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