Abstract
The acoustic path for a noncircular reflector is calculated on the basis of the method for determining the echo-signal amplitude from a reflector in the form of a flat-bottom hole using the Kirchhoff approximation in the far-field zone of a normal transceiver. Examples of calculations of the directivity characteristics for reflectors in the form of an ellipse, triangle, and rhomb are presented. In limiting cases of circular and square reflectors, the results of numerical calculations of the directivity characteristics coincide with the data obtained from known analytic expressions.
Similar content being viewed by others
References
Ermolov, I.N., Kontrol’ ul’trazvukom (kratkii spravochnik) (Ultrasonic Testing: Concise Handbook), Moscow: NPO “TsNIITMASh”, 1992.
Ermolov, I.N., Vopilkin, A.Kh., and Badalyan, V.G., Raschety v ul’trazvukovoi defektoskopii (kratkii spravochnik) (Calculations in Ultrasonic Flaw Detection: Concise Handbook), Moscow: NPTs NK “EKhO+”, 2000.
Ermolov, I.N. and Lange, Yu.V., Nerazrushayushchii kontrol’. T. 3. Ul’trazvukovoi kontrol’. Spravochnik (Nondestructive Testing. Ultrasonic Testing: A Handbook), Moscow: Mashinostroenie, 2004, vol. 3.
Danilov, V.N. and Ermolov, I.N., Calculation of DGS Diagrams, Defektoskopiya, 2000, no. 7, pp. 35–43 [Rus. J. Nondestr. Test. (Engl. Transl.), 2000, vol. 36, no. 7, pp. 491–498].
Danilov, V.N. and Ermolov, I.N., Calculation of DGS Diagrams from the Echo-Signal Maximum, Defektoskopiya, 2000, no. 12, pp. 35–42 [Rus. J. Nondestr. Test. (Engl. Transl.), 2000, vol. 36, no. 12, pp. 881–886].
Danilov, V.N., Calculation of Echo Signals from a Flat-Bottom Hole for Normal Transducers, Defektoskopiya, 2007, no. 11, pp. 23–33 [Rus. J. Nondestr. Test. (Engl. Transl.), 2000, vol. 36, no. 11, pp. 724–732].
Kruglov, B.A., Angular Characteristics of Scattering of Longitudinal and Transverse SV and SH Waves by an Acoustically Soft Disk inside a Solid, Vopr. Metalloved., 2001, no. 4, pp. 66–77.
Ivanov, E.A., Difraktsiya elektromagnitnykh voln na dvukh telakh (Diffraction of Electromagnetic Waves at Two Bodies), Minsk: Nauka, 1968.
Beitmen, G. and Erdein, A., Vysshie transtsendentnye funktsii, (Higher Transcendent Functions), Moscow: Nauka, 1974, vol. 2.
Yamshchikov, V.S., Danilov, V.N., and Shkuratnik, V.L., Features of Excitation and Reception of Elastic Waves in a Solid by a Piston-Type Transducer, Defektoskopiya, 1983, no. 3, pp. 16–23.
Bronshtein, I.N. and Semendyaev, K.A., Spravochnik po matematike dlya inzhenerov i ichashchikhsya vuzov (Handbook on Mathematics for Engineers and Students of Higher Engineering Schools), Moscow: Nauka, 1964.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.N. Danilov, 2008, published in Defektoskopiya, 2008, Vol. 44, No. 7, pp. 28–41.
Rights and permissions
About this article
Cite this article
Danilov, V.N. Calculation of amplitudes of echo signals for a normal transceiver and reflectors in the form of flat-bottom holes of different shapes. Russ J Nondestruct Test 44, 462–471 (2008). https://doi.org/10.1134/S1061830908070036
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1061830908070036