Skip to main content
Log in

Active noise cancellation of a spherical multipole source using a radially vibrating spherical baffled piston

  • Published:
Acoustical Physics Aims and scope Submit manuscript

Abstract

The creation of quiet zones in a diffuse sound field due to a multipole spherical primary source by means of a radially vibrating surface set in the side of a rigid sphere (secondary source) is investigated in this article. The formulation utilizes the appropriate wave field expansions along with the translational addition theorems for spherical wave functions to develop a closed-form solution in the form of an infinite series. The numerical results reveal that using a baffled spherical piston model as a secondary source instead of a monopole control source will obviously improve the sound minimization efficiency of such noise-control systems in all cases, especially for a dipolar primary source.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. H. F. Olson and E. G. May, J. Acoust. Soc. Am. 25, 1130 (1953).

    Google Scholar 

  2. M. V. Fedoryuk, Acoust. Phys. 25, 61 (1979).

    Google Scholar 

  3. A. A. Mazanikov, V. V. Tyutekin, and M. V. Fedoryuk, Acoust. Phys. 26, 428 (1980).

    Google Scholar 

  4. P. A. Nelson and S. J. Elliott, J. Sound Vib. 105, 173 (1986).

    Article  ADS  Google Scholar 

  5. P. A. Nelson, R. D. Curtis, S. J. Elliott, and A. J. Bullmore, J. Sound Vib. 116, 397 (1987).

    Google Scholar 

  6. P. Joseph, S. J. Elliott, and P. A. Nelson, J. Sound Vib. 172, 605 (1994).

    ADS  Google Scholar 

  7. A. David and S. J. Elliott, Appl. Acoust. 41, 63 (1994).

    Article  Google Scholar 

  8. S. J. Elliott, P. Joseph, A. J. Bullmore, and P. A. Nelson, J. Sound Vib. 120, 183 (1988).

    Article  ADS  Google Scholar 

  9. S. J. Elliott and J. Garcia-Bonito, J. Sound Vib. 186, 696 (1995).

    Article  Google Scholar 

  10. J. Garcia-Bonito, S. J. Elliott, and M. Bonilha, J. Sound Vib. 201, 43 (1997).

    Article  Google Scholar 

  11. J. S. Bolton, B. K. Gardner, and T. A. Beauvilain, J. Acoust. Soc. Am. 98, 2343 (1995).

    ADS  Google Scholar 

  12. T. Martin and A. Roure, J. Sound Vib. 201, 577 (1997).

    Article  Google Scholar 

  13. T. Martin and A. Roure, J. Sound Vib. 212, 511 (1998).

    Article  Google Scholar 

  14. A. A. Mazanikov, Akust. Zh. 46, 89 (2000) [Acoust. Phys. 46, 76 (2000)].

    Google Scholar 

  15. E. Skudrzyk, The Foundations of Acoustics: Basic Mathematics and Basic Acoustics (Springer, New York, 1971; Mir, Moscow, 1976).

    Google Scholar 

  16. C. H. Sherman, J. Acoust. Soc. Am. 31, 947 (1959).

    Article  Google Scholar 

  17. J. E. Greenspon and C. H. Sherman, J. Acoust. Soc. Am. 36, 149 (1964).

    Google Scholar 

  18. B. Baier, J. Acoust. Soc. Am. 51, 1705 (1972).

    Article  Google Scholar 

  19. J. E. Boisvert and A. L. Van Buren, J. Acoust. Soc. Am. 111, 867 (2002).

    Article  ADS  Google Scholar 

  20. S. M. Hasheminejad and M. Azarpeyvand, IEEE J. Ocean. Eng. 29, 110 (2004).

    Article  Google Scholar 

  21. S. M. Hasheminejad and M. Azarpeyvand, IEEE J. Ocean. Eng. 31(8–9), 1129 (2004).

    Google Scholar 

  22. X. Qiu and C. H. Hanson, J. Sound Vib. 232, 1005 (2000).

    Article  ADS  Google Scholar 

  23. A. D. Pierce, Acoustics: An Introduction to Its Physical Principles and Applications (Am. Inst. Phys., New York, 1991).

    Google Scholar 

  24. W. Thompson, Jr., J. Acoust. Soc. Am. 60, 781 (1976).

    Article  ADS  Google Scholar 

  25. W. Thompson, Jr., J. Acoust. Soc. Am. 62, 8 (1977).

    ADS  Google Scholar 

  26. Handbook of Mathematical Functions, Ed. by M. Abramowitz and I. A. Stegun (National Bureau of Standards, Washington, 1964; Nauka, Moscow, 1979).

    Google Scholar 

  27. Y. A. Ivanov, Diffraction of Electromagnetic Waves on Two Bodies (Nauka Tekh., Minsk, 1968; NASA, Washington, 1970).

    Google Scholar 

  28. S. M. Hasheminejad and M. Azarpeyvand, Acta Acust. 89, 998 (2003).

    Google Scholar 

  29. S. E. Wright and B. Vuksanovic, J. Sound Vib. 190, 565 (1996).

    Article  Google Scholar 

  30. W. Thompson, Jr., J. Acoust. Soc. Am. 54, 1694 (1973).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

From Akusticheski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Zhurnal, Vol. 51, No. 6, 2005, pp. 709–720.

Original English Text Copyright © 2005 by Azarpeyvand.

The text was submitted by the author in English.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Azarpeyvand, M. Active noise cancellation of a spherical multipole source using a radially vibrating spherical baffled piston. Acoust. Phys. 51, 609–618 (2005). https://doi.org/10.1134/1.2130891

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.2130891

Keywords

Navigation