The method of characteristics is used to obtain an analytical solution describing the thickness vibrations of a piezoelectric layer polarized across the thickness and subjected to a nonstationary electric potential. The features of how the vibrations are excited and propagate under electric loading are studied. The dynamic electromechanical state of the layer is analyzed. The electric and mechanical characteristics as functions of time are plotted
Similar content being viewed by others
References
A. É. Babaev, Nonstationary Waves in Continuous Media with a System of Reflecting Surfaces [in Russian], Naukova Dumka, Kyiv (1990).
V. M. Bazhenov and A. F. Ulitko, “Investigation of the dynamic behavior of a piezoelectric ceramic layer during instantaneous electric loading,” Int. Appl. Mech., 11, No. 1, 16–20 (1975).
L. O. Grigor'eva and V. M. Shul'ga, “Numerical analysis of the deformation of a piezoceramic cylinder under axisymmetric dynamic loading,” Teor. Prikl. Mekh., 42, 171–176 (2006).
Yu. N. Kuliev and Kh. A. Rakhmatulin, “Longitudinal impact on a piezoceramic rod,” Izv. AN SSSR, Mekh. Tverd. Tela, No. 5, 117–122 (1972).
O. Yu. Zharii and A. F. Ulitko, An Introduction to the Mechanics of Nonstationary Vibrations and Waves [in Russian], Vyshcha Shkola, Kyiv (1989).
V. T. Grinchenko, A. F. Ulitko, and N. A. Shul'ga, Electroelasticity, Vol. 5 of the five-volume series Mechanics of Coupled Fields in Structural Members [in Russian], Naukova Dumka, Kyiv (1989).
S. P. Timoshenko, Vibration Problems in Engineering, Wiley, New York (1974).
G. M. Polozhii, Equations of Mathematical Physics [in Russian], Rad. Shk., Kyiv (1959).
N. A. Shul'ga and A. M. Bolkisev, Vibrations of Piezoelectric Bodies [in Russian], Naukova Dumka, Kyiv (1990).
H. J. Ding, H. M. Wang, and P. F. Hou, “The transient responses of piezoelectric hollow cylinders for axysimmetrical plane stress problems,” Int. J. Solids Struct., 40, 105–123 (2003).
L. O. Grigor'eva, “Numerical solution to the initial-boundary-value problem of electroelasticity for a radially polarizated hollow piezoceramic cylinder,” Int. Appl. Mech., 42, No. 12, 1371–1379 (2006).
L. O. Grigor'eva, “Vibrations of a piezoceramic cylinder subject to nonstationary electric excitation,” Int. Appl. Mech., 43, No. 3, 303–308 (2007).
V. L. Karlash, “Planar electroelastic vibrations of piezoceramic rectangular plate and half-disk,” Int. Appl. Mech., 43, No. 5, 547–553 (2007).
V. L. Karlash, “Evolution of the planar vibrations of a rectangular piezoceramic plate as its aspect ratio is changed,” Int. Appl. Mech., 43, No. 7, 786–793 (2007).
V. G. Savin and I. O. Morgun, “Electric to acoustic conversion by a spherical piezoceramic shell with shields,” Int. Appl. Mech., 43, No. 2, 238–243 (2007).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Prikladnaya Mekhanika, Vol. 44, No. 10, pp. 23–27, October 2008.
Rights and permissions
About this article
Cite this article
Shul’ga, N.A., Grigor’eva, L.O. Method of characteristics in analysis of the propagation of electroelastic thickness oscillations in a piezoceramic layer under electric excitation. Int Appl Mech 44, 1093–1097 (2008). https://doi.org/10.1007/s10778-009-0129-3
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10778-009-0129-3