Abstract
The general case of off-axis propagation of acoustoelectric waves in hollow cylinders made of a piezoelectric material such as a crystal of the class mm2 orthorhombic system with a two-fold radial symmetry axis is investigated. The basic system of equations for the wave problem in circular cylindrical coordinates is reduced to eight equations of the Hamiltonian type in the radial coordinate. A solution of the generalized spectral problem for harmonic waves is found by numerical methods. Special cases of the general problem are considered. The results of solving specific problems are analyzed.
Similar content being viewed by others
References
E. Dieulesaint and D. Royer,Elastic Waves in Solids: Applications to Signal Processing, Wiley-Interscience, New York (1981).
N. A. Kil'chevskii,Course in Theoretical mechanics [in Russian], in two volumes, vol. 2, Nauka, Moscow (1977).
I. A. Loza, “Propagation of nonaxisymmetric acoustoelectric waves in a circularly polarized, hollow cylindrical waveguide,”Prikl. Mekh. 20, No. 12, 19–23 (1984).
I. A. Loza, “Propagation of nonaxisymmetric acoustoelectric waves in a radially polarized, hollow piezoceramic cylinder,”Prikl. Mekh.,21, No. 1, 22–27 (1985).
V. T. Grinchenko, A. F. Ulitko, and N. A. Shul'ga,Mechanics of Coupled Fields in Structural Elements, Vol. 5,Electroelasticity [in Russian], Naukova Dumka, Kiev (1989).
V. M. Shul'ga, “Propagation of elastic waves in orthotropic cylinders,”Prikl. Mekh.,34, No. 7, 34–41 (1998).
N. A. Shul'ga, “Electroelastic waves in a longitudinally polarized, solid piezoceramic cylinder,”Prikl. Mekh.,22, No. 11, 17–21 (1986).
N. A. Shul'ga, “Propagation of torsional acoustoelectric waves in a circularly polarized piezoceramic cylinder,”Prikl. Mekh.,24, No. 4, 3–9 (1989).
N. A. Shul'ga, A. Ya. Grigorenko, and I. A. Loza, “Axisymmetric electroelastic waves in a hollow piezoceramic cylinder,”Prikl. Mekh.,29, No. 1, 26–32 (1984).
Additional information
Taras Shevchenko National University, Kiev, Ukraine. Translated from Prikladnaya Mekhanika, Vol. 35, No. 7, pp 49–58, July, 1999
Rights and permissions
About this article
Cite this article
Sul'ga, V.M. Propagation of acoustoelectric waves in a hollow cylinder whose physicomechanical properties have a radial symmetry axis. Int Appl Mech 35, 684–694 (1999). https://doi.org/10.1007/BF02682206
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02682206