Abstract
The interaction between a transient cylindrical acoustic wave and a cylindrical piezoelectric transducer with sectioned electrodes is considered. The solution is obtained using the integral Laplace transform with respect to time (in the form of natural-mode series). In going to the space of originals, the problem is reduced to integral Volterra equations. The results of calculation are presented for various angular dimensions of the electrode sections and various distances from the wave source to the piezoelectric transducer.
Similar content being viewed by others
References
A. É. Babaev,Transient Waves in Continua with a System of Reflecting Surfaces [in Russian], Naukova Dumka, Kiev (1990).
A. É. Babaev, A. A. Leiko, and V. G. Savin, “Transient conditions of radiation for a system of two multimode cylindrical piezoelectric transducers,”Acoust. J.,41, No. 4, 554–558 (1995).
A. É. Babaev and A. A. Leiko, “Joint operation of a cylindrical piezoelectric transducer and a receiver under transient conditions,”Prikl. Mekh.,34, No. 3, 77–85 (1998).
A. É. Babaev and G. L. Matsenko, “The effect of a plane transient acoustic wave on a cylindrical piezoelectric transducer with sectioned electrodes,”Prikl. Mekh.,34, No. 2, 78–85 (1998).
A. F. Verlan' and V. S. Sizikov,Methods of Solution of Integral Equations with Computer Programs [in Russian], Naukova Dumka, Kiev (1978).
V. T. Grinchenko, A. F. Ulitko, and H. A. Shul'ga,Mechanics of Coupled Fields in Structural Elements [in Russian], in five volumes, Vol. 5,Electroelasticity, Naukova Dumka, Kiev (1989).
A. N. Guz' and V. D. Kubenko,Methods of Shells Design [in Russian], in five volumes, Vol. 5,Theory of Transient Aerohydroelasticity of Shells, Naukova Dumka, Kiev (1983).
V. A. Datkin and A. P. Prudnikov,Operational Calculus: A Reference Book [in Russian], Vysshaya Shkola, Moscow (1965).
O. Yu. Zharii and A. F. Ulitko,Introduction to Mechanics of Transient Oscillations and Waves [in Russian], Vyshcha Shkola, Kiev (1989).
S. I. Pugachev, ed.,Piezoelectric Ceramic Converters [in Russian], Sudostroenie, Leningrad (1984).
N. A. Shul'ga and A. M. Bolkisev,Vibrations of Piezoelectric Bodies [in Russian], Naukova Dumka, Kiev (1990).
Author information
Authors and Affiliations
Additional information
Translated from Prikladnaya Mekhanika, Vol. 35, No. 10, pp. 37–45, October, 1999.
Rights and permissions
About this article
Cite this article
Babaev, A.E., Matsenko, G.L. Interaction of a transient cylindrical acoustic wave with a multimode cylindrical piezoelectric transducer. Int Appl Mech 35, 1005–1013 (1999). https://doi.org/10.1007/BF02682311
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02682311