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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23 | 11 | 2024
2018, 12 December

DOI: 10.14489/td.2018.12.pp.028-037

 

Sviridov Yu. B., Slyadnev A. M.
NUMERICAL ILLUSTRATION TO THE STUDY OF ACOUSTIC PROCESSES IN THE IMPEDANCE METHOD OF CONTROLLING PRODUCTS BY MEANS OF LONGITUDINAL WAVES
(pp. 28-37)

Abstract. The paper presents the results of numerical calculations of harmonic elastic fields of displacements, stresses, specific acoustic impedances in a cylindrical sound transmission and a tread detector for different wave resistances OK and the concentration parameter. The calculations were performed on the basis of exact solutions of the Helmholtz and Webster equations obtained in the previous article of the authors. Modules (envelopes) of wave functions, specific acoustic impedances are analyzed and a physical explanation is given to the peculiarities of their behavior. The problem of the approximation of wave fields in an irregular resonator with the help of Ermit interpolation polynomials with multiple nodes is considered. The results of the previous and given articles of the authors made it possible to draw a number of conclusions and recommendations useful for practical applications. The approach adopted in both works is an alternative to the method of electromechanical analogies known in acoustics.

Keywords: parameters, low-frequency harmonic elastic fields, envelopes, specific acoustic impedance, informative measured characteristics, sensitivity of control to changes in impedance of OK, approximation.

 

Yu. B. Sviridov, A. M. Slyadnev (OOO NPK “Tekhnovotum”, Moscow, Russia) Е-mail: Данный адрес e-mail защищен от спам-ботов, Вам необходимо включить Javascript для его просмотра. , Данный адрес e-mail защищен от спам-ботов, Вам необходимо включить Javascript для его просмотра.  

 

 

1. Sviridov Yu. B., Slyadnev A. M. (2017). The study of acoustic processes in the impedance method of testing products using longitudinal waves. Kontrol'. Diagnostika, (9), pp. 54-61. [in Russian language] DOI: 10.14489/td.2017.09.pp.054-061
2. Yakovlev K. P. (Ed.) (1962). A brief physico-technical handbook. Vol. 2. General Mechanics, Material Resistance, Theory of Mechanisms and Machines. Moscow: Fizmatgiz. [in Russian language]
3. Rudenko O. V. (Ed.), Kayno G. (1990). Acoustic waves. Devices, visualization and analog signal processing. Moscow: Mir. [in Russian language]
4. Klyuev V. V. (Ed.), Ermolov I. N., Lange Yu. V. (2006). Non-destructive testing: a handbook: in 8 volumes. Vol. 3. Ultrasonic testing. 2nd ed. Moscow: Mashinostroenie. [in Russian language]
5. Rabotnov Yu. N. (1979). Mechanics of a deformable solid. Мoscow: Nauka. [in Russian language]
6. Lange Yu. V. (1990). Acoustic impedance methods of non-destructive testing (review). Defektoskopiya, (8), pp. 3-19. [in Russian language]
7. Lange Yu. V. (1991). Acoustic low-frequency methods and means of control of multilayer structures. Moscow: Mashinostroenie. [in Russian language]
8. Bondarenko A. I. (2010). Methods of low-frequency acoustic flaw detection with dry contact in the system "converter – product". Tekhnicheskaya diagnostika i nerazrushayuschiy kontrol', (1), pp. 38-44. [in Russian language]
9. Murashov V. V., Slyusarev M. V., Evdokimov A. A. (2016). Quality control of shells of the arched elements of the above-ground parts of the supports of prefabricated bridge structures made of PCM. Tr. VIAM, 43(7), pp. 84-97. [in Russian language]
10. Dzheffris G., Svirls B. (1970). Methods of mathematical physics. Issue 3. Moscow: Mir. [in Russian language]
11. Olver F. (1978). Introduction to asymptotic methods and special functions. Moscow: Nauka. [in Russian language]
12. Ozhigova E. P. (1982). Charles Hermite. Leningrad: Nauka. [in Russian language]
13. Golovinskiy I. A. (1980). To the history of the interpolation problem with multiple nodes. History and methodology of natural sciences. Issue XXV. Moscow: Izdatel'stvo MGU, pp. 67-74. [in Russian language]
14. Mikeladze Sh. E. (1948). New quadrature formulas and their applications to the integration of differential equations. DAN SSSR, 61(4), pp. 613-615. [in Russian language]
15. Mikeladze Sh. E. (1980). Selected proceedings. Vol. 2. Numerical analysis and the theory of ordinary differential equations. Tbilisi: Metsniereba. [in Russian language]
16. Vlasov V. G. (1959). Collected proceedings: in 7 volumes. Vol. 5. Integral interpolation and interpolation on initial and final derivatives. Leningrad: Sudpromgiz. [in Russian language]
17. Lantsosh K. (1961). Practical methods of applied analysis: a reference manual. Moscow: Fizmatgiz. [in Russian language]
18. Berezin I. S., Zhidkov N. P. (1962). Calculation methods. Vol. 1. Moscow: Fizmatgiz. [in Russian language]
19. Krylov V. I., Bobkov V. V., Monastyrnyy P. I. (1976). Computational methods. Vol. 1. Moscow: Nauka. [in Russian language]
20. Kalitkin N. N. (1978). Numerical methods. Moscow: Nauka. [in Russian language]
21. Mezon U. (Ed.), Eysner E. (1967). Calculation of resonant oscillatory systems. Physical. VOL. I. Moscow: Mir, pp. 339-358. [in Russian language]
22. Postnov V. A. (1977). Numerical methods for calculating ship designs. Leningrad: Sudostroenie. [in Russian language]
23. Sviridov Yu. B. (2000). Numerical illustration of Hermite interpolation method. Ii. Solving ordinary differential equations. Izvestiya AN RM. Matematika, 32(1), pp. 3-11. [in Russian language]

 

 

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