Skip to main content
Log in

Calculating the Influence of Refractions and Reflections from Curvilinear Surfaces of Shells of Revolution on Acoustic Field

  • ACOUSTIC METHODS
  • Published:
Russian Journal of Nondestructive Testing Aims and scope Submit manuscript

Abstract

In the ray optics approximation, we have calculated the effect that changes in the directivity (defocusing) of an acoustic field due to refraction on a curvilinear entry surface and/or single or multiple reflections from curved inner surfaces of the shells of revolution have on the echo signal amplitude. The coincidence of the calculation results with the results of available studies is shown for special cases. A formula for calculating changes in the amplitude makes it possible to determine a defocusing-related change in the size of the echo pulse beam at the entry surface. The correctness of the calculation is confirmed experimentally, using specimens of pipes with embedded artificial corner reflectors.

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.

Institutional subscriptions

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.

Similar content being viewed by others

REFERENCES

  1. Friedlander, F., Sound Pulses, Cambridge: Cambridge Univ. Press, 1958.

    Google Scholar 

  2. Keller, J.B. and Keller, H.B., Determinations of reflected and transmitted field by geometrical optics, J. Opt. Soc. Am., 1950, vol. 40, pp. 48–52.

    Article  Google Scholar 

  3. Krautkrämer, J. and Krautkrämer, H., Werksoffprüfung mit Ultrashall, Berlin-Heidelberg-New York-London-Paris-Tokyo: Springer-Verlag, 1986.

    Book  Google Scholar 

  4. Ermolov, I.N., Teoriya i praktika ul’trazvukovogo kontrolya (Theory and Practice of Ultrasonic Testing), Moscow: Mashinostroenie, 1981.

  5. Pavros, S.K., On the selection of the optimal operating frequency for ultrasonic pulse-echo inspection of products with a cylindrical rough surface, Defektoskopiya, 1969, no. 4, pp. 53–58.

  6. Golubev, A.S. and Pavros, S.K., Calculation of the acoustic path of an echo-flaw detector when monitoring products with a curved surface by the contact method, Izv. LETI, 1970, no. 89, pp. 78–92.

  7. Danilov, V.N., Evaluation of echo signals from dihedral angles in specimens with cylindrical surfaces, Russ. J. Nondestr. Test., 2007, vol. 43, no. 7, pp. 446–451.

    Article  Google Scholar 

  8. Vybornov, B.I., Ul’trazvukovaya defektoskopiya (Ultrasonic Flaw Detection), Moscow: Metallurgiya, 1985, 2nd ed.

  9. Ermolov, I.N., To determining the coordinates of defects when testing cylindrical products with an angle transducer, Defektoskopiya, 1995, no. 2, pp. 3–9.

  10. Michurov, A.V. and Sokolkin, A.V., A correction factor for the amplitude adjustment for the pulse echo ultrasonic inspection of components with curved surfaces, Russ. J. Nondestr. Test., 2016, vol. 52, no. 1, pp. 14–22.

    Article  Google Scholar 

  11. Murav’ev, V.V., Korobeinikova, O.V., and Kadikova, M.B., Analysis of factors affecting the results of testing via the mirror–shadow method, Russ. J. Nondestr. Test., 2007, vol. 43, no. 9, pp. 597–604.

    Article  Google Scholar 

  12. Murav’eva, O.V., Petrov, K.V., Sokov, M.Y., and Gabbasova, M.A., The simulation and study of the propagation of the acoustic waves that are radiated by an electromagnetic–acoustic trough-type transducer over the elliptic cross-section of a bar, Russ. J. Nondestr. Test., 2015, vol. 51, no. 7, pp. 400–406.

    Article  Google Scholar 

  13. Avdeev, I.S., The use of the boundary element method in solving the problems of sound scattering by an elastic noncircular cylinder, Acoust. Phys., 2010, vol. 56, no. 4, pp. 407–411.

    Article  Google Scholar 

  14. Rumeliotis, J.A. and Kotsis, A.D., Acoustic scattering from two spheres, one with a small radius, Acoust. Phys., 2007, vol. 53, no. 1, pp. 33-43.

    Article  Google Scholar 

  15. Rumeliotis, J.A., Kotsis, A.D., and Colesas, J., Acoustic scattering by an impenetrable spheroid, Acoust. Phys., 2007, vol. 53, no. 4, pp. 436–447.

    Article  Google Scholar 

  16. Tyutekin, V.V. and Boiko, A.I., Diffraction of plane sound waves by elastic cylindrical shells with different types of longitudinal fixations, Acoust. Phys., 2006, vol. 52, no. 3, pp. 408–415.

    Article  Google Scholar 

  17. Andronov, I.V., Diffraction by a strongly elongated body of revolution, Acoust. Phys., 2011, vol. 57, no. 2, pp. 121–126.

    Article  Google Scholar 

  18. Andronov, I.V., Calculation of diffraction by strongly elongated bodies of revolution, Acoust. Phys., 2012, vol. 58, no. 1, pp. 22–29.

    Article  Google Scholar 

  19. Michurov, A.V. and Sokolkin, A.V., Calculating the energy transmission factor for a couplant layer with nonuniform thickness, Russ. J. Nondestr. Test., 2017, vol. 53, no. 8, pp. 545–559.

    Article  Google Scholar 

  20. Kaya, O.A., Kaleci, D., and Şahin, A., Finite amplitude pressure field of elliptical and rhomboid transducers in three dimensions, Acoust. Phys., 2011, vol. 57, no. 2, pp. 127–135.

    Article  Google Scholar 

  21. Ermolov, I.N., Bychkov, I.V., and Rozina, M.V., Limitations in the use of DGS-diagrams when testing cylindrical products, Defektoskopiya, 1993, no. 10, pp. 3–12.

  22. Danilov, V.N., Influence of the size of a normal probe’s piezoelectric plate on the amplitude of a detected echo signal, Russ. J. Nondestr. Test., 2006, vol. 42, no. 1, pp. 42–46.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to A. V. Michurov or A. V. Sokolkin.

Additional information

Translated by V. Potapchouck

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Michurov, A.V., Sokolkin, A.V. Calculating the Influence of Refractions and Reflections from Curvilinear Surfaces of Shells of Revolution on Acoustic Field. Russ J Nondestruct Test 56, 28–40 (2020). https://doi.org/10.1134/S1061830920010076

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1061830920010076

Keywords:

Navigation