Axial guided wave characteristics in functionally graded one-dimensional hexagonal piezoelectric quasi-crystal cylinders

In one-dimensional hexagonal piezoelectric quasi-crystals, there exist the phonon-phason, electro-phonon, and electro-phason couplings. Therefore, the phonon-phason coupling and piezoelectric effects on axial guided wave characteristics in one-dimensional hexagonal functionally graded piezoelectric quasi-crystal (FGPQC) cylinders are investigated by utilizing the Legendre polynomial series method. The dispersion curves and cut-off frequencies are illustrated. Wave characteristics in three hollow cylinders with different quasi-periodic directions are comparatively studied. Some new wave phenomena are revealed: the phonon-phason coupling and piezoelectric effects on the longitudinal and torsional phonon modes (N = 0) vary as the quasi-periodic direction changes; the phonon-phason coupling effect on flexural-torsional modes in the r-, z-FGPQC hollow cylinders, and on flexural-longitudinal modes in & thetasym;-FGPQC hollow cylinders increases as N increases. The corresponding results obtained in this work lay the theoretical foundation for the design and manufacture of piezoelectric transducers with high resolution and energy-conversion efficiency.

Automated summary

This study investigates the phonon-phason coupling and piezoelectric effects on wave characteristics in one-dimensional hexagonal functionally graded piezoelectric quasi-crystal cylinders. The results reveal new wave phenomena and lay the theoretical foundation for the design and manufacture of piezoelectric transducers with high resolution and energy-conversion efficiency.