The general solution to the problem of the nonaxisymmetric electromechanical vibrations of a piezoceramic ring plate is obtained. The spectra of natural frequencies and modes for the first circumferential harmonics are numerically determined and analyzed for plates with radially cut electrode coating and the following boundary conditions: clamped edge–free edge, free edge–clamped edge, free edge–free edge
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics, Dover, New York (1990).
N. A. Shul’ga and A. M. Bolkisev, Vibrations of Piezoelectric Bodies [in Russian], Naukova Dumka, Kyiv (1990).
M. O. Shul’ga, ”Revisiting the theory of nonaxisymmetric electromechanical vibrations of piezoceramic plates polarized across the thickness,” Sist. Tekhnol., No. 7, 63–68 (2007).
M. O. Shul’ga and V. V. Levchenko, “Revisiting the theory of nonaxisymmetric electroelastic vibrations of piezoceramic plates,” Dop. NAN Ukrainy, No. 6, 6168 (2012).
E. Dieulesant and D. Royer, On dea elastiques dans les solides. Application au raiment du signal, Masson et C, Paris (1974).
V. T. Grinchenko, A. F. Ulitko, and N. A. Shul’ga, Electroelasticity, Vol. 5 of the series Mechanics of Coupled Fields in Structural Members [in Russian], Naukova Dumka, Kyiv (1989).
C. H. Huang, C. C. Ma, and Y. C. Lin, “Theoretical, numerical, and experimental investigation on resonant vibrations of piezoceramic annular disks,” IEEE Trans. on Ultrasonics, Ferroelectrics and Frequency Control, 52, No. 8, 1204–1216 (2005).
C. H. Huang, “Resonant vibration investigations for piezoceramic disks and annuli by using the equivalent constant method,” IEEE Trans. on Ultrasonics, Ferroelectrics and Frequency Control, 52, No. 8, 1217–1228 (2005).
W. P. Mason, “Piezoelectricity, its history and applications,” J. Acoust. Soc. Am., 70, No. 6, 1561–1566 (1981).
N. A. Shul’ga, “Mixed systems of equations in Kirchhoff’s theory of the transverse vibrations of plates,” Int. Appl. Mech., 49, No. 2, 203–210 (2013).
N. A. Shul’ga, V. V. Levchenko, and O. I. Mekievskii, “Nonaxisymmetric electroelastic vibrations of piezoceramic of ring plates with radial cuts of electrodes,” Int. Appl. Mech., 48, No. 4, 438–446 (2012).
N. A. Shul’ga, V. V. Levchenko, and O. I. Mekievskii, “Influence of boundary conditions on the natural frequencies of nonaxisymmetric electroelstic vibrations of piezoceramic plates,” Int. Appl. Mech., 48, No. 5, 592–601 (2012).
H. F. Tiersten, Linear Theory of Piezoelectric Plate Vibrations, Plenum Press, New York (1969).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Prikladnaya Mekhanika, Vol. 50, No. 5, pp. 119–131, September–October 2014.
Rights and permissions
About this article
Cite this article
Shul’ga, N.A., Levchenko, V.V. Natural Modes of Vibration of Piezoelectric Circular Plates with Radially Cut Electrodes. Int Appl Mech 50, 582–592 (2014). https://doi.org/10.1007/s10778-014-0657-3
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10778-014-0657-3