The sound power of a circular membrane for axially-symmetric vibrations

Downloads

Authors

  • W. RDZANEK Institute of Physics, Higher Pedagogical School, Poland
  • P. WITKOWSKI Institute of Physics, Higher Pedagogical School, Poland

Abstract

This paper gives an analysis of the sound power with regard to the influence of a radiated wave on the vibrations of a membrane. The vibrations of the membrane are forces by time-harmonic external pressure. The source is placed in a rigid plannar baffle and radiates into a lossless and homogeneous gas medium. Distributing a velocity in a series of eigenfunctions, we could transform a motion equation into an algebraic system of linear equations. As the final result of the analysis, a relative real power of self and free vibrations for high frequency was derived using an approximate method. The expressions derived here are very useful and convenient for numerical calculations.

References

[1] F.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] I. MALECKI, Theory of waves and acoustical systems, (in Polish) PWN, Warszawa 1964.

[3] N. McLACHLAN, Bessel functions for engineers, PWN, Warszawa 1964.

[4] W. RDZANEK, The sound power of a circular plate for high-frequency wave radiation, Archives of Acoustics, 3, 4, 331-340 (1983).

Most read articles by the same author(s)