Hostname: page-component-848d4c4894-tn8tq Total loading time: 0 Render date: 2024-07-07T06:34:35.006Z Has data issue: false hasContentIssue false
  • English
  • Français

Analysis of Wave Propagation in Infinite Piezoelectric Plates

Published online by Cambridge University Press:  05 May 2011

C. Y. Wu ,
J. S. Chang  and
K. C. Wu
C. Y. Wu*
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
J. S. Chang*
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
K. C. Wu*
Affiliation:
Institute of Applied Mechanics, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
*
*Ph.D. student
**Professor
**Professor
Get access

Abstract

An analysis is presented for wave propagation in infinite homogeneous elastic plates of piezoelectric materials. The analysis is an extension to the work by Shuvalov [1] on wave propagation in general anisotropic elastic plates. A real form of dispersion equation is provided for a piezoelectric plate subjected to different boundary conditions on the plate surfaces. Perturbation theory [2] is exploited to obtain long-wavelength low-frequency approximation for physical quantities of wave propagation, including wave amplitude, stress, electric potential, electric displacement and velocity.

Keywords

Piezoelectric platesElastic wavesStroh's formalismPerturbation method
Type
Articles
Information
Journal of Mechanics , Volume 21 , Issue 2 , June 2005 , pp. 103 - 108
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2005

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1.Shuvalov, A. L., “On the Theory of Wave Propagation in Anisotropic Plates,” Proc. Soc. Lond. A., 456, pp. 2197–2222 (2000).CrossRefGoogle Scholar
2.Stewart, G. W. and Ji-guang, Sun, Matrix Perturbation Theory, Academic Press, Inc. (1990).Google Scholar
3.Kaul, R. K. and Mindlin, R. D., “Frequency Spectrum of a Monoclinic Crystal Plate,” J. Acoust. Soc. Am., 34, pp. 1902–1910 (1961).CrossRefGoogle Scholar
4.Lee, P. C., Syngellakis, Y. S. and Hou, J. P., “A Two-Dimensional Theory for High-Frequency Vibration of Piezoelectric Crystal Plates with or without Electrodes,” Journal of applied Physics 61, pp. 134–141 (1987).CrossRefGoogle Scholar
5.Ting, T. C. T., Anisotropic Elasticity, Oxford University Press (1996).CrossRefGoogle Scholar