Abstract
A one-dimensional electromechanical model of a piezoelectric transducer, which reproduces excitation of ultrasonic pulses in a product, reception of echo signals, and calculation of waves in all its elements (damper, protector, piezoelectric element, contact-liquid layer, etc.), is considered. The results of calculations of electric and wave processes in a normal ultrasonic transducer, when it operates jointly with a generator of probing pulses, are presented. Good agreement between the calculation and experimental results is demonstrated.
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References
Fornberg, B., The pseudospectral Method: Comparisons with Finite Differences for the Elastic Wave Equation, Geophysics, 1987, vol. 52, pp. 483–501.
Fellinger, P., Marklein, R., Langenberg, K.J., and Klaholz, S., Numerical Modeling of Elastic-Wave Propagation and Scattering with EFIT-Elastodynamic Finite Integration Technique, Wave Motion, 1995, vol. 21, no. 1, pp. 47–66.
Kostek, S. and Randall, C.J., Modeling of a Piezoelectric Transducer and Its Application to Full-Waveform Acoustic Logging, J. Acoust. Soc. Am., 1994, vol. 1, pp. 109–122.
Veidt, M., Liu, T.R., and Kitipornchai, S., Experimental Investigation of the Acoustoultrasonic Transfer Characteristics of Adhesively Bonded Piezoceramic Transducers, Smart Mater. Struct., 2000, vol. 1, pp. 19–23.
Schubert, F., Numerical Time-Domain Modeling of Linear and Nonlinear Ultrasonic Wave Propagation using Finite Integration Techniques: Theory and Applications, Ultrasonics, 2004, vol. 42, pp. 221–229.
Raghavan, A. and Cesnik, C.E.S., Finite-Dimensional Piezoelectric Transducer Modeling For Guided Wave Based Structural Health Monitoring, Smart Mater. Struct., 2005, vol. 14, pp. 1448–1461.
Yang, M.J. and Qiao, P.Z., Modeling and Experimental Detection of Damage in Various Materials Using The Pulse-Echo Method and Piezoelectric Sensors/Actuators, Smart Mater. Struct., 2005, vol. 14, pp. 1083–1100.
Chagla, F. and Smith, P.M., Finite Difference Time-Domain Methods for Piezoelectric Crystals, IEEE Trans. Ultrason. Ferroelect. Freq. Contr., 2006, vol. 53, pp. 1895–1901.
Paradies, R. and Melnykowycz, M., Numerical Stress Investigation for Piezoelectric Elements with a Circular Cross Section and Interdigitated Electrodes, J. Intellig. Mater. Syst. Struct., 2007, vol. 18, no. 9, pp. 963–972.
IEEE Standard on Piezoelectricity (ANSI/IEEE Standard 176-1987, 1988).
Barkhatov, V.A., Solution of Wave Equations by the Finite-Difference Method in the Time Domain. 2D Problem. Main Formulas, Defektoskopiya, 2007, no. 9, pp. 54–70 [Russ. J. Nondestr. Test. (Engl. Transl.), 2007, vol. 43, no. 9, pp. ].
Barkhatov, V.A., Simulation of Ultrasonic Waves by the Finite-Difference Method in the Time Domain. 2D Problem. Optimal Algorithms. Analysis of Errors. Absorbing Regions Near the Grid Boundaries, Defektoskopiya, 2009, no. 6, pp. 58–75 [Russ. J. Nondestr. Test. (Engl. Transl.), 2009, vol. 45, no. 6, pp. 410–424].
Chua, L.O. and Lin, P.M., Machine Analysis of Electronic Circuits (Algorithms and Calculation Schemes), Moscow: Energiya, 1980.
Gavrilov, L.P. and Sosnin, D.A., Raschet i modelirovanie lineinykh elektricheskikh tsepei s primeneniem PK (Calculation and Modeling of Linear electric Circuits with the Use of PC), Moscow: SOLON-Press, 2010.
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Original Russian Text © V.A. Barkhatov, 2011, published in Defektoskopiya, 2011, Vol. 47, No. 8, pp. 3–15.
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Barkhatov, V.A. An electromagnetic model of a piezoelectric transducer. Russ J Nondestruct Test 47, 501–511 (2011). https://doi.org/10.1134/S1061830911080031
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DOI: https://doi.org/10.1134/S1061830911080031