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Calculation of the Acoustic Field of a Direct Transducer with Piezoelectric Plates of Different Shapes

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Abstract

For a direct transducer with a circular piezoelectric plate, a comparative analysis of acoustic field calculations by the Helmholtz–Huygens and Fourier–Bessel formulas is performed. The equivalence of these calculations is demonstrated. A refined expression is obtained for the pressure on the transducer axis as a function of distance. The field calculations are also performed for square and triangular piezoelectric plates. A comparison of numerical results is carried out.

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REFERENCES

  1. Ermolov, I.N., Teoriya i praktika ultrazvukovogo kontrolya(Theory and Practice of Ultrasonic Testing), Moscow: Mashinostroenie, 1981.

    Google Scholar 

  2. Danilov, V.N., To the Problem of Modeling the Effect of Direct Transducers for Elastic Stress Irradiation on the Tested Surface, Defektoskopiya, 1998, no. 8, pp. 20–27.

    Google Scholar 

  3. Tikhonov, A.N. and Samarskii, A.A., Uravneniya matematicheskoi fiziki(Equations of Mathematical Physics), Moscow: Nauka, 1972.

    Google Scholar 

  4. Yamshchikov, V.S., Danilov, V.N., et al., Elastic Wave Excitation in a Layer by a Disk-shaped Transducer of a Finite Size, Defektoskopiya, 1982, no. 2, pp. 78–84.

    Google Scholar 

  5. Skudrzyk, E.P.,Osnovy akustiki(The Foundations of Acoustics), Moscow: Mir, 1976, vol. 1.

    Google Scholar 

  6. Morse, P.M. and Feshbach, H.,Methods of Theoretical Physics(McGraw-Hill), 1953, vol. 1. Translated under the title: Metody teoreticheskoi fiziki, Moscow: Inostrannaya Literatura, 1958, vol. 1.

  7. Beitmen, G. and Erdei, A., Vysshie transtsendentnye funktsii(Higher Transcendental Functions), Moscow: Nauka, 1974, vol. 2.

    Google Scholar 

  8. Brekhovskikh, L.M., Volny v sloistykh sredakh(Waves in Stratified Media), Moscow: Nauka, 1973.

    Google Scholar 

  9. Ermolov, I.N., Vopilkin, A.Kh., and Badalyan, V.G., Raschety v ultrazvukovoi defektoskopii (kratkii spravochnik)Calculations in Ultrasonic Nondestructive Testing (Brief Handbook)), Moscow: OOO NPTs NK EKHO+, 2000.

  10. Danilov, V.N. and Ermolov, I.N., Estimation of the Length of the Near Zone of a Rectangular Transducer, Defektoskopiya,2003, vol. 39, no. 5, pp. 3–8 [Russian J. of Nondestructive Testing(Engl. Transl.), vol. 39, no. 5, p. 333].

    Google Scholar 

  11. Tikhonov, A.N. and Sveshnikov, A.G., Teoriya funktsii kompleksnoi peremennoi(Theory of the Functions of Complex Variables), Moscow: Nauka, 1979.

    Google Scholar 

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  1. Federal State Unitary Enterprise Central Research Institute for Machine-Building Technology (TsNIITMASh), Moscow, Russia

    V. N. Danilov

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  1. V. N. Danilov
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Danilov, V.N. Calculation of the Acoustic Field of a Direct Transducer with Piezoelectric Plates of Different Shapes. Russian Journal of Nondestructive Testing 40, 79–86 (2004). https://doi.org/10.1023/B:RUNT.0000036549.71004.db

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  • DOI: https://doi.org/10.1023/B:RUNT.0000036549.71004.db

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