Application of the Generalized Mean Value Function for Detection of Defects in Metal Cylindrical Slugs

Subscription Access

Authors

  • Raoul R. Nigmatullin Kazan (Volga region) Federal University, Institute of Physics, Kremlevskaya str., bld. 18, 420008, Kazan, Ta-tarstan, Russian Federation; Kazan National Research Technical University (KNRTU-KAI), 10 Karl Marx street, 420011, Kazan, Tatarstan, Russian Federation Author
  • Sergey I. Osokin Kazan (Volga region) Federal University, Institute of Physics, Kremlevskaya str., bld. 18, 420008, Kazan, Ta-tarstan, Russian Federation Author
  • Victor M. Larionov Kazan (Volga region) Federal University, Institute of Physics, Kremlevskaya str., bld. 18, 420008, Kazan, Ta-tarstan, Russian Federation Author
  • Yuriy V. Vankov Kazan State Power Engineering University, Krasnoselskaya str., bld. 51, 420066, Kazan, Tatarstan, Russian Federation Author
  • Evgeniya V. Izmajlova Kazan State Power Engineering University, Krasnoselskaya str., bld. 51, 420066, Kazan, Tatarstan, Russian Federation Author
  • Wei Zhang Department of Electronic Engineering, School of Information Science and Technology, JiNan University, Guang-zhou, 510632, China Author

DOI:

https://doi.org/10.5890/JAND.2016.03.002

Abstract

In this paper we present a free-oscillation method for acoustic detection of defects in metal rods. For detection of normal rods from rods with defects we use a treatment procedure based on the statistics of the fractional moments. This procedure allows to extract the quanti-tative information from the acoustic signals that are propagated in cylindrical slugs after mechanical strike and having different defects. This information allows separating normal rods (without defects) from the rods having different cuts and differentiating the saw-cut defects with different depth from each other. The analysis of data obtained from this research shows that the proposed method of the fractional moments can be applied for quantitative "reading" of envelopes of different acoustic signals that are obtained by means of free-oscillation method and propagated in dense medium having local defects.

References

[1] Nondestructive Testing Handbook, (2008) Vol. 8. Magnetic Testing / tech. ed.: David G. Moore; ed.: Patrick O. Moore. 3-rd ed. Columbus: ASNT.

[2] ASNT Level II Study Guide (2002), Liquid Penetrant Testing Method /William Spaulding and Mark Hermes. , 2-nd ed. Columbus: ASNT.

[3] ASNT Level III Study Guide (2007), Electromagnetic Testing / ed.: James E. Cox. 2-nd ed. Columbus: ASNT; Eddy Current Testing Theory and Practice / E. Dane Harvey. (1995) Columbus: ASNT.

[4] ASNT Level II Study Guide (2009), Ultrasonic Testing Method / William Spaulding and George C. Wheeler. (2002), 2-nd ed. Columbus: ASNT.

[5] An Introduction to Nondestructive Testing / George V. Crowe. 2-nd ed. Columbus: ASNT.

[6] Nondestructive Testing Handbook, (2010), Visual Testing / tech. eds: Michael W. Allgaier and Robert E. Cameron; ed.: Patrick O. Moore. Columbus: ASNT, Vol. 9.

[7] Bouraou, N.I. and Gelman, L.M. (1997), Theoretical bases of the free oscillation method for acoustical nondestructive testing, J. Acoust. Soc. Am. 101, 3085.

[8] Gelman, L. and Braun, S. The optimal usage of the Fourier transform for pattern recognition, Mechanical Systems and Signal Processing, 15(3), 641–645.

[9] Nigmatullin, R.R., Osokin, S.I., Munther, R., Shami, Al., and Mugdadi, A.R. (2013), (December 2013)Application of the fractional moments for comparing random variables with varying probability distributions, Applications and Applied Mathematics: An International Journal (AMM). 8(2), 366–390.

[10] Nigmatullin, R.R. (2006), The statistics of the fractionalmoments: Is there any chance to read "quantitatively" any randomness?, Journal of Signal Processing, 86, 2529–2547.

[11] Nigmatullin, R., Ceglie, C., Maione, G., and Striccoli, D. (2014), “Reduced Fractional Modeling of 3-D Video Streams: the FERMA Approach”, Nonlinear Dynamics, Springer, doi: 10.1007/s11071-014-1792-4

[12] Nigmatullin, R., Machado, J., and Menezes, R.(2013), Self-similarity principle: the reduced description of randomness, Central European Journal of Physics, 11(6), 724–739.

Downloads

Article Metrics

Citations 0 Crossref
PublishedMarch 2016

Usage tracking begins September 1, 2026.

History Published

Issue

Vol. 5 No. 1 (2016): Regular Issue

Section

Research Articles

License

Unless an article landing page states a Creative Commons or other article-specific license, the article is published by L&H Scientific Publishing, LLC and all rights are reserved. The article-level license and copyright notice govern access and reuse.

How to Cite

Nigmatullin, R. R., Osokin, S. I., Larionov, V. M., Vankov, Y. V., Izmajlova, E. V., & Zhang, W. (2026). Application of the Generalized Mean Value Function for Detection of Defects in Metal Cylindrical Slugs. Journal of Applied Nonlinear Dynamics, 5(1), 33-41. https://doi.org/10.5890/JAND.2016.03.002

Share

Tweet Share