Literature Cited
V. A. Andrushchenko, I. F. Vovkodav, V. L. Karlash, and A. F. Ulitko, “Electromechanical coupling coefficient of circular piezoceramic plates”, Prikl. Mekh.,11, No. 4, 42–48 (1975).
D. A. Berlincourt, D. R. Curran, and H. Jaffe, “Piezoelectric and piezomagnetic materials and their function in transducers” in: Physical Acoustics (edited by W.P. Mason), Vol. 1, Part A, Academic Press (dy1964).
All-Union State Standard (GOST) 12370–72 Piezoceramic Materials. Testing Methods [in Russian], Izd. Standartov, Moscow (1973).
Yu. A. Kramarov and V. A. Klyushnichenko “A nonuniformly polarizedpiezoelectric transducer,” in: Acoustic Methods and Instruments for Oceanic Research [in Russian], Part 2, Izd. DVPI, Vladivostok (1974), pp. 3–6.
Yu. A. Kramarov and V. A. Klyushnichenko, “Equivalent circuits of a nonuniformly polarized piezoelectric transducer for certain special cases”, in: Acoustic Methods and Instruments for Oceanic Research [in Russian], Part 2, Izd. DVPI, Vladivostck (1974), pp. 7–8.
K. Okadzahi and M. Umino, “Analysis of vibrations in thin piezoceramic resonators with annular electrodes”, Nippon Onkyo Gakkaishi,25, No. 6, 325–334 (1969).
R. Holland, “Analysis of multiterminal piezoelectric plates”, J. Acoust. Soc. Amer.,41, 940–952 (1967).
E. C. Munk, “The equivalent circuit for radial modes of apiezoelectric ceramic disk with concentric electrodes”, Philips Res. Rep.,20, 170–189 (1965).
Additional information
Rostov State University. Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 13, No. 8, pp. 56–62, August, 1977.
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Karlash, V.L., Klyushnichenko, V.A., Kramarov, Y.A. et al. Radial vibrations of thin piezoceramic disks under a nonuniform electric load. Soviet Applied Mechanics 13, 784–789 (1977). https://doi.org/10.1007/BF00885009
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DOI: https://doi.org/10.1007/BF00885009