Skip to main content
Log in

An efficient approach to approximation and practical application of DGS diagrams

  • Acoustic Methods
  • Published:
Russian Journal of Nondestructive Testing Aims and scope Submit manuscript

Abstract

A nonstandard experimental and mathematical approach to the development of analytical and numerical multidimensional approximations for DGS diagrams is proposed. This method features sufficiently high accuracy, versatility, and reliability for different types of piezoelectric probes (PPs) and test objects (TOs). The efficiency of the approach is demonstrated by a test example and is also checked in its implementation in software for the UD4-S device based on standard specimens simulating flaws. Issues related to the solution of the direct and inverse problems of ultrasonic nondestructive testing are discussed.

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.

Similar content being viewed by others

REFERENCES

  1. Sviridov, Yu.B. and Veremeenko, S.V., Experimental-Mathematical Approach to the Construction and Application of DGS Diagrams, in 1-ya Natsional’naya nauchno-tekhnicheskaya konferentsiya i vystavka (Proc. of the 1st National Scientific and Technical Conference and Exhibition), Kishinev, October 21–24, 2003, pp. 38–41.

  2. Sukhorukov, V.V., Vainberg, E.I., Kazhis, R.-I.Yu., and Abakumov, A.A., Nerazrushayushchii kontrol’. Kn. 5. Introskopiya i avtomatizatsiya kontrolya (Nondestructive Testing. Vol. 5. Introscopy and Inspection Automation), Moscow: Vysshaya Shkola, 1993.

    Google Scholar 

  3. Ermolov, I.N., Teoriya i praktika ul‘trazvukovogo kontrolya (Theory and Practice of Ultrasonic Inspection), Moscow: Mashinostroenie, 1981.

    Google Scholar 

  4. Krautkramer, J. and Krautkramer, H., Werkstoffprufung mit Ultraschall, Berlin, Heidelberg, New York, London, Paris, Tokyo: Springer-Verlag 1986. Translated under the title Ultrazvukovoi kontrol’ materialov. Spravochnik, Moscow: Metallurgiya, 1991.

    Google Scholar 

  5. Nerazrushayushchii kontrol’ i diagnostika. Spravochnik (Nondestructive Testing and Diagnostics. Handbook), Klyuev, V.V., Ed., Moscow: Mashinostroenie, 1995.

    Google Scholar 

  6. Ermolov, I.N., Optimization of Testing Conditions by Ultrasonic Echo-Method. I., Defektoskopiya, 1996, no. 1, pp. 3–16.

  7. Ermolov, I.N., Optimization of Testing Conditions by Ultrasonic Echo-Method. II. Calculation of Echo-Signals from Flaws, Defektoskopiya, 1996, no. 2, pp. 87–106.

  8. Danilov, V.N., Ermolov, I.N., Calculations of Amplitude-Distance-Diameter Diagrams, Defektoskopiya, 2000, no. 7, pp. 35–43 [Rus. J. of Nondestructive Testing (Engl. Transl.), 2000, vol. 36, no. 7, p. 491].

  9. Danilov, V.N. and Ermolov, I.N., Calculations of ADD Diagrams Based on Peaks of Reflected Acoustic Signals, Defektoskopiya, 2000, no. 12, pp. 35–42 [Rus. J. of Nondestructive Testing (Engl. Transl.), 2000, vol. 36, no. 12, p. 889].

  10. Lutsenko, G.G., On the Measurement Accuracy of the Equivalent Diameter of a Flaw Using DGS Diagrams, Tekh. Diagnostika i Nerazrushayushchii Kontrol’, 2003, no. 2, pp. 27–31.

  11. Davidenko, V.F. and Tkachev, V.S., Archive-Experimental or Adaptive-Calculated Settings of Modern Ultrasonic Flaw Detectors, in 4-ya Natsional’ya nauchno-tekhnicheskaya konferentsiya i vystavka “Nerazrushayushii kontrol’ i tekhnicheskaya diagnostika” (Proc. of the 4th National Scientific and Technical Conference and Exhibition “Nondestructive Testing and Technical Diagnostics”), Kiev, May 19–23, 2003, pp. 101–104.

  12. Berezin, I.S. and Zhidkov, N.P., Metody vychislenii (Calculation Methods), Moscow: Fizmatgiz, 1962, vol. 1.

    Google Scholar 

  13. Kalitkin, N.N., Chislennye metody (Calculus of Approximations), Moscow: Nauka, 1978.

    Google Scholar 

  14. Popov, B.A. and Tesler, G.S., Priblizhenie funktsii dlya tekhnicheskikh prilozhenii (Approximation of Functions for Technical Applications), Kiev: Naukova Dumka, 1980.

    Google Scholar 

  15. Baker, J., Jr. and Graves-Morris, P., Pade Approximation; Translated under the title Approksimatsiya Pade, Moscow: Mir, 1986.

    Google Scholar 

  16. Panchenkov, A.N., Osnovy teorii predel’noi korrektnosti (Principles of Limit Correctness Theory), Moscow: Nauka, 1976.

    Google Scholar 

  17. Defedktoskop-tomograf ul’razvukovoi UD4-S (UD4-S Ultrasonic Flaw Detector and Tomograph), Operating Manual VTM 038 RE, Kishinev, 2003.

  18. GOST (State Standard) 18576–85: Nondestructive Testing. Railway Lines. Ultrasonic Methods, 1985.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Defektoskopiya, Vol. 40, No. 10, 2004, pp. 49–61.

Original Russian Text Copyright © 2004 by Sviridov, Gaburov, Veremeenko, Pokladov.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sviridov, Y.B., Gaburov, A.S., Veremeenko, S.V. et al. An efficient approach to approximation and practical application of DGS diagrams. Russ J Nondestruct Test 40, 679–688 (2004). https://doi.org/10.1007/s11181-005-0071-3

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11181-005-0071-3

Keywords

Navigation