Skip to main content
SpringerLink
Log in

Fractional-harmonic components in an acoustical wave in a liquid

  • Published:
Czechoslovak Journal of Physics B Aims and scope

Abstract

The amplitudes and frequencies of the components of the acoustical spectrum of an acoustical wave, generated in a non-viscous liquid filling a cavity, are calculated by solving a boundary value problem. Apart from forced oscillations, the frequencies of the acoustical spectrum are equal to the frequency of the fundamsntal oscillation of the liquid in the cavity and its higher harmonics. If the frequency of the driving acoustical wave coincides with one of these (proper) frequencies, thefractional harmonic components appear. The amplitudes of the component oscillations decrease monotonically as the absolute value of the difference between the frequency of the driving acoustical wave and the frequency of the respective oscillation is increased. The derived relations are compared with the results of some published measurements.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Adler L., Breazeale M. A., The Journal of the Acoustical Society of America.48, No 6, P 2 (1970), 1077.

    Google Scholar 

  2. Eller A. I., The Journal of the Acoustical Society of America.53, No 3 (1973), 758.

    Google Scholar 

  3. Dallos P. J., Linnell C. O., The Journal of the Acoustical Society of America40 (1966), 4.

    Google Scholar 

  4. Dallos P. J., Linnell C. O., The Journal of the Acoustical Society of America40 (1966), 561.

    Google Scholar 

  5. Dallos P. J., The Journal of the Acoustical Society of America40 (1966), 1381.

    Google Scholar 

  6. Luukkala M., Physics Letters25 A (1967), 197.

    Google Scholar 

  7. Luukkala M., Physics Letters25 A (1967), 76.

    Google Scholar 

  8. Boston J. R., The Journal of the Acoustical Society of America49, P 2 (1971), 299.

    Google Scholar 

  9. Breazeale M. A., C. -T. Chang, The Journal of the Acoustical Society of America42 (1967), 1152.

    Google Scholar 

  10. Bamberg J. A., Cook B. D., The Journal of the Acoustical Society of America41 (1967), 1584.

    Google Scholar 

  11. Budak B. M.,Samarskij A. A.,Tichonov A. N., Sbornik zadach po matematicheskoi fizike. Moskva 1956.

  12. Brdička M., Mechanika kontinua. Nakladatelství čSAV, Praha 1959.

    Google Scholar 

  13. Koshljakov N. S.,Gliner E. B.,Smirnov M. M., Uravneniya v chastnych proizvodnych matematicheskoi fiziki. Moskva 1970.

  14. Rozenberg L. D., Moshchnyie ultrazvukovye polja. Izdatelstvo Nauka, Moskva 1968.

    Google Scholar 

  15. Samek L., Taraba O., Elektrotechnicky casopis SAV, Bratislava,XXIV (1973), 780.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Mechanical Engineering, Czech Technical University, Prague, Suchbátarova 4, 166 07, Praha 6, Czechoslovakia

    L. Samek

Authors
  1. L. Samek
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

The author is deeply indebted to Professor Dr. M.Brdička for his interest and advice in the whole course of solution of the above problem.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Samek, L. Fractional-harmonic components in an acoustical wave in a liquid. Czech J Phys 24, 748–756 (1974). https://doi.org/10.1007/BF01795709

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01795709

Keywords

Search

Navigation