Calculation of the frequency response of a piezoceramic converter in the Lamb wave excitation mode. Part 1. Statement and general solution of a complex boundary value problem
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Abstract
In this paper were provided statement and solution of the complex boundary problem of the Lamb wave excitations by means of the disk piezoelectric converter operating in single surface size access mode. Received expressions can be used for the calculation of the plate displacement that induced with radial Lamb waves spread within the mechanical contact area. The mathematical modeling of the piezoelectric converter transfer function were provided considering active element (disk) finite value and peculiarities of the elastic disturbance guided propagation.
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References
V. Grinchenko and V. Meleshko, Harmonic oscillations and waves in elastic bodies, Kyiv: Naukova Dumka, 1981, p. 283.
L. Donnell, Beams, Plates and Shells, Moscow: Nauka, 1982, p. 567.
V. Danilov, “Calculation of the acoustic path of a flaw detector with straight round transducers”, Defectoscopy, no. 10, pp. 11–17, 1996.
V. Danilov, “On the issue of calculating the acoustic field of a direct transducer with piezoelectric plates of various shapes”, Defectoscopy, no. 2, pp. 3–15, 2004.
V. Chabanov, “On publications devoted to the study of the operation of piezoelectric transducers”, Defectoscopy, no. 12, pp. 58–67, 1998.
V. Danilov and I. Ermolov, “Calculation of the ARD diagram by the maximum of echo signals”, Defectoscopy, no. 12, pp. 35–42, 2000.
V. Danilov, “Calculation of the acoustic path for direct transducers and reflectors of the type of a flat-bottomed hole of various shapes”, Defectoscopy, no. 1, pp. 23–39, 2009.
V. Danilov, “On the calculation of ARD diagrams of direct transducers for reflectors of spherical and cylindrical shapes”, Defectoscopy, no. 8, pp. 38–55, 2009.
N. Koshlyakov, E. Gliner, and M. Smirnov, Equations in partial derivatives of mathematical physics, Moscow: Higher School, 1970, p. 710.
O. Petrishchev, Electromagnetic excitation of radially propagating Lamb waves in metal sheets.Current aspects of physical and mechanical research. Acoustics and waves, Kyiv: Naukovadumka, 2007, pp. 259–273.
V. Didkovskiy, A. Klimov, O. Petrishchev, A. Shablatovich, and A. Shamarin, “Express method for assessing the physical and mechanical parameters of piezoelectric ceramics”, Electronics and Communications, vol. 41, no. 6, pp. 60–66, 2007.
L. Loitsyansky, Mechanics of liquids and gases, Moscow: Nauka, 1970, p. 904.
V. Novatsky, Electromagnetic effects in solids, Moscow: Mir, 1986, p. 160.
I. Tamm, Fundamentals of the Theory of Electricity, Moscow: Nauka, 1976, p. 616.
V. Grinchenko, A. Ulitko, and N. Shulga,Mechanics of linked fields in elements designs, vol. 5. Kyiv: Naukova Dumka, 1989, p. 280.
