Журнал Российского общества по неразрушающему контролю и технической диагностике
The journal of the Russian society for non-destructive testing and technical diagnostic
 
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2021, 04 April

DOI: 10.14489/td.2021.04.pp.004-019

Danilov V. N.
ABOUT HEAD WAVES AND UNDER-SURFACE LONGITUDINAL WAVES, RADIATED BY THE NORMAL PROBE WHICH IS TAKING PLACE ON A FREE FLAT SURFACE OF THE ELASTIC ENVIRONMENT
(pp.4-19)

Abstract. On the basis of integrated representations Fourier–Bessel a component of displacement of elastic waves, radiating by the normal converter which is taking place on a free flat surface of the elastic environment, receives analytical estimations of displacement a under-surface longitudinal and head (it is surface-longitudinal) waves. Components of displacement a under-surface longitudinal wave are the sum a component in approximation of geometrical acoustics (GA), the diffraction amendments to this approximation and the amendments which are taking into account influence of feature when the parameter of integrated representation is equal to wave number of a longitudinal wave. Components of displacement of a head wave are defined as the sum appropriate diffraction amendments for a component of displacement of a volumetric longitudinal wave in approximation GA and a component of displacement of a lateral wave. The maximum of amplitude of displacement a under-surface longitudinal wave in angular area of a direction of distribution near to a free surface of environment is caused by one of local maxima of the directivity characteristic of the normal probe. Thus dependence of change of amplitude of this wave of distance wave from the centre of the probe practically corresponds to similar dependence for displacement of a volumetric longitudinal wave in GA approximation. Quantitative estimations of maxima of amplitude of displacement under-surface longitudinal and head waves concerning the greatest amplitude, radiated by the normal probe of a volumetric longitudinal wave.

Keywords: head wave, under-surface longitudinal wave, lateral wave, normal probe, diffraction amendment, geometrical acoustic approximation, free surface, displacement of a wave, critical angle.

V. N. Danilov (JSC “RPA “CNIITMASH”, Moscow, Russia) E-mail: Данный адрес e-mail защищен от спам-ботов, Вам необходимо включить Javascript для его просмотра.  

1. Ermolov I. N., Lange Yu. V. (2006). Non-destructive testing: handbook: in 8 volumes. Vol. 3. Ultrasonic testing. 2nd ed. Moscow: Mashinostroenie. [in Russian language]
2. Ermolov I. N. (2004). Advances in theoretical issues of ultrasonic flaw detection, tasks and prospects. Defektoskopiya, (10), pp. 13 – 48. [in Russian language]
3. Razygraev N. P., Ermolov I. N., Shcherbinskiy V. G. (1978). Using head-type waves for ultrasonic testing. Defektoskopiya, (1), pp. 33 – 40. [in Russian language]
4. Razygraev N. P., Ermolov I. N., Shcherbinskiy V. G. (1978). Investigation of the process of formation of the acoustic field of the head wave in a controlled environment. Defektoskopiya, (11), pp. 5 – 10. [in Russian language]
5. Razygraev N. P. (2020). Physics, terminology and technology in ultrasonic flaw detection by head waves. Defektoskopiya, (9), pp. 3 – 19. [in Russian language]
6. Danilov V. N. (2001). On the issue of calculating the parameters of surface-longitudinal waves on the free plane boundary of the product. Defektoskopiya, (10), pp. 27 – 35. [in Russian language]
7. Brekhovskih L. M. (1973). Waves in layered media. Moscow: Nauka. [in Russian language]
8. Danilov V. N. (1986). On the influence of the static pressure of the direct transducer on the directivity of the radiation field. Defektoskopiya, (5), pp. 24 – 28. [in Russian language]
9. Yamshchikov V. S., Danilov V. N., Shkuratnik V. L., Ermolin A. A. (1982). Excitation of an elastic wave in a layer by a disk radiator of finite dimensions. Defektoskopiya, (2), pp. 78 – 84. [in Russian language]
10. Beytmen G., Erdeyi A. (1974). Higher transcendental functions. Vol. 2. Moscow: Nauka. [in Russian language]
11. Yamshchikov V. S., Danilov V. N., Shkuratnik V. L. (1983). Features of excitation and reception of elastic waves in a solid layer by a piston-type transducer. Defektoskopiya, (3), pp. 16 – 23. [in Russian language]
12. Brekhovskih L. M., Godin O. A. (1989). Acoustics of layered media. Moscow: Nauka. [in Russian language]
13. Felsen L., Markuvits N. (1978). Radiation and scattering of waves. Vol. 1. Moscow: Mir. [in Russian language]
14. Viktorov I. A. (1981). Sound surface waves in solids. Moscow: Nauka. [in Russian language]
15. Felsen L., Markuvits N. (1978). Radiation and scattering of waves. Vol. 2. Moscow: Mir. [in Russian language]
16. Danilov V. N. (2019). The influence of a critical angle on an orientation of radiation of a shear wave the angle beam probe. Kontrol'. Diagnostika, (5), pp. 14 – 25. [in Russian language] DOI: 10.14489/td.2019.05.pp.014-025
17. Danilov V. N., Samokrutov A. A. (2003). Taking into account the influence of the critical angle on the parameters of the displacement of transverse elastic waves excited by lumped sources. Defektoskopiya, (10), pp. 45 – 54. [in Russian language]
18. Forsayt Dzh., Mal'kol'm M., Mouler K. (1980). Machine methods of mathematical calculations. Moscow: Mir. [in Russian language]
19. Yamshchikov V. S., Baukov Yu. N. (1975). Geoacoustics. Sections: Issues of radiation of elastic vibrations into an array. Propagation of elastic waves in waveguides. Moscow: Izdatel'stvo MGI. [in Russian language]

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DOI: 10.14489/td.2021.04.pp.004-019

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