Mutual acoustic impedance of circular sources with parabolic vibration velocity distribution for high frequencies

Downloads

Authors

  • L. LENIOWSKA Department of Physics, Department of Technics, Pedagogical University, Poland
  • W. RDZANEK Department of Physics, Department of Technics, Pedagogical University, Poland
  • P. WITKOWSKI Department of Physics, Department of Technics, Pedagogical University, Poland

Abstract

In the paper the mutual impedance of circular planar sources with parabolic vibration velocity distribution occurring harmoniously in time is analyzed. It is assumed that the sources set in planar rigid baffle radiate into a lossless and homogeneous gas medium. The acoustic impedance is calculated using the method based on the Fourier representation of acoustic pressure, thanks to which the mutual impedance is expressed in the Hankel representation. The real integrals in the formula are replaced by complex ones and integrates is performed round a closed and smooth integration contour. Using approximation methods, the expression for mutual impedance at high frequencies is obtained.

References

[1] E.G. LEPPINGTON AND H. LEVINE, A note on the acoustic power output of a circular plate, Journal of Sound and Vibration, 121, 2, 269-275 (1988).

[2] L. LENIOWSKA, W. RDZANEK, P. WITKOWSKI, Impedancja wzajemna źródeł kołowych dla dużych parametrów interferencyjnych, Materiały OSA’90.

[3] W. RDZANEK, P. WITKOWSKI, The sound power of a circular membrane for axially-symmetric vibrations, Archives of Acoustics, 17, 3 (1992).

[4] W. RDZANEK, Akustyczna impedancja wzajemna i całkowita układu źródeł o zmiennym powierzchniowym rozkładzie prędkości i drgań, WSP Zielona Góra, 1979.

[5] G.N. WATSON, Theory of Bessel functions, 2nd ed., University Press, Cambridge 1966.

Most read articles by the same author(s)

1 2 > >>