Please use this identifier to cite or link to this item: https://doi.org/10.1016/S0022-460X(02)01494-3
Title: Dispersion of waves and characteristic wave surfaces in functionally graded piezoelectric plates
Authors: Liu, G.R. 
Dai, K.Y. 
Han, X. 
Ohyoshi, T.
Issue Date: 13-Nov-2003
Source: Liu, G.R., Dai, K.Y., Han, X., Ohyoshi, T. (2003-11-13). Dispersion of waves and characteristic wave surfaces in functionally graded piezoelectric plates. Journal of Sound and Vibration 268 (1) : 131-147. ScholarBank@NUS Repository. https://doi.org/10.1016/S0022-460X(02)01494-3
Abstract: An inhomogeneous layer element method is presented to analyze the dispersion of waves and characteristic wave surfaces in plates of functionally graded piezoelectric material (FGPM). In this method, the FGPM plate is divided into a number of layered elements. The elemental elastic and electric properties are assumed as linear functions of the thickness to adopt the variety of the material property of FGPM. The Hamilton principle is applied to determine the governing equations. The phase velocity surface, phase slowness surface, phase wave surface, group velocity surface, group slowness surface, and group wave surface for FGPM plate are formulated using Rayleigh quotient and the orthogonality condition of the eigenvectors. These six surfaces are then used to illustrate the characteristics of waves in FGPM plates. Numerical examples are presented using the present formulations to analyze dispersions and characteristics of waves in FGPM plates.
Source Title: Journal of Sound and Vibration
URI: http://scholarbank.nus.edu.sg/handle/10635/59969
ISSN: 0022460X
DOI: 10.1016/S0022-460X(02)01494-3
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