Affiliation:
1. School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo, P.R. China
2. LSIE-ERMAM, Faculte Polydisciplinaire d’Ouarzazate, Univ. Ibn Zohr, Ouarzazate, Morocco
Abstract
For the purpose of design and optimization for piezoelectric quasi-crystal transducers, guided waves in a functionally graded 1-D hexagonal piezoelectric quasi-crystal plate are investigated. In this paper, a model combined with the Bak’s and elastohydrodynamic models is utilized to derive governing equations of wave motion, and real, pure imaginary, and complex roots of governing equations are calculated by using the modified Legendre polynomial method. Subsequently, dispersion curves and displacements of phonon and phason modes are illustrated. Then, guided waves in functionally graded 1-D hexagonal piezoelectric quasi-crystal plates with different quasi-periodic directions are studied. And the phonon-phason coupling effect on Lamb and SH waves are analyzed. Accordingly, some interesting results are obtained: The phonon-phason coupling just affects Lamb waves in the x- and z-direction quasi-crystal plates, and SH waves in the y-direction quasi-crystal plate. Besides, frequencies of propagative phason modes decrease as phonon-phason coupling coefficients Ri increase. Furthermore, a variation in the polarization has a more significant influence on phonon modes, and a variation in the quasi-periodic direction has a more significant influence on phason modes.
Funder
Education Department of Henan Province
Henan Polytechnic University
National Natural Science Foundation of China
Subject
Mechanical Engineering,General Materials Science
Cited by
2 articles.
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