Abstract
Coupled electroelasticity theory, acoustic approximation, and two-wire transmission line theory are used to study the generation of waves by a submerged cylindrical piezoelectric transducer connected by a cable to a source of nonstationary electric signals. The problem is reduced to a system of integral Volterra equations using the Laplace transform and analytical inversion of boundary conditions. The results of calculations for different cable lengths are presented
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References
A. É. Babaev, Nonstationary Waves in Solid Media with Reflecting Surfaces [in Russian], Naukova Dumka, Kiev (1990).
A. É. Babaev and V. G. Savin, “Radiation of nonstationary acoustic waves by a radially polarized, cylindrical piezoelectric transducer,” Int. Appl. Mech., 31, No. 4, 281–287 (1995).
I. S. Gonorovskii, Fundamentals of Radio Engineering [in Russian], Gos. Izd. Lit. Vopr. Svyazi Radio, Moscow (1957).
I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products [in Russian], Gos Izd. Fiz.-Mat. Lit., Moscow (1963).
I. T. Grinchenko, A. F. Ulitko, and N. A. Shul’ga, Electroelasticity, Vol. 5 of the six-volume series Mechanics of Coupled Fields in Structural Members [in Russian], Naukova Dumka, Kiev (1989).
V. A. Ditkin and A. P. Prudnikov, Operational Calculus [in Russian], Vyssh. Shk., Moscow (1966).
S. I. Pugachev (ed.), Piezoceramic Transducers [in Russian], Sudostroenie, Leningrad (1984).
N. A. Shul’ga and A. M. Bolkisev, Vibration of Piezoelectric Bodies [in Russian], Naukova Dumka, Kiev (1990).
N. A. Artsykova, A. K. Pertsev, and S. V. Yakovlev, “Interaction of a spherical shock wave and an elastic circular cylindrical shell,” Int. Appl. Mech., 40, No. 9, 1018–1027 (2004).
A. A. Babaev, “Excitation of a spherical piezoemitter which generates nonsteady electric signals with allowance for processes in the cable channel,” Int. Appl. Mech., 35, No. 2, 145–151 (1999).
A. A. Babaev, “Nonsteady operating conditions of a multimode cylindrical radiator, taking account of processes in the cable channel,” Int. Appl. Mech., 35, No. 8, 784–793 (1999).
A. É. Babaev and L. I. Dokuchaeva, “Generation of nonstationary waves by a spherical piezoelectric transducer filled with a viscous and surrounded by a perfect compressible liquids,” Int. Appl. Mech., 38, No. 4, 477–484 (2002).
A. É. Babaev, V. G. Savin, and A. A. Leiko, “Transient interaction of parallel thin-walled cylindrical piezoelectric ceramic radiators,” J. Acoust. Soc. Amer., 108, No. 1, July, 154–166 (2000).
A. N. Guz, V. D. Kubenko, and A. É. Babaev, “Dynamics of shell systems interacting with a liquid,” Int. Appl. Mech., 38, No. 3, 260–301 (2002).
V. D. Kubenko and A. A. Babaev, “Influence of a cable line on the transient operation of a piezoelectric transmitter,” Int. Appl. Mech., 33, No. 11, 888–894 (1997).
V. D. Kubenko, “Nonstationary plane elastic contact problem for matched cylindrical surfaces,” Int. Appl. Mech., 40, No. 1, 51–60 (2004).
V. D. Kubenko, “Impact of blunted bodies on a liquid or elastic medium,” Int. Appl. Mech., 40, No. 11, 1185–1225 (2004).
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Translated from Prikladnaya Mekhanika, Vol. 41, No. 11, pp. 127–136, November 2005.
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Babaev, A.É., Babaev, A.A. Generation of nonstationary waves by a thick-walled piezoceramic cylinder excited by electric signals. Int Appl Mech 41, 1316–1323 (2005). https://doi.org/10.1007/s10778-006-0038-7
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DOI: https://doi.org/10.1007/s10778-006-0038-7