Guided wave propagating in a 1-D hexagonal piezoelectric quasi-crystal plate

In the context of Bak's model, guided waves in a 1-D hexagonal piezoelectric quasi-crystal plate are investigated by applying the Legendre polynomial method. Three cases of quasi-periodic directions are discussed. The dispersion curves, phonon, and phason displacement distributions are illustrated. Some new wave phenomena are revealed: The phase velocity of Lamb wave phason modes decreases as the phonon-phason coupling parameters, R-i, increase. Phason displacements and the electric potential have consistent distributions with those of phonon displacement components in the quasi-periodic direction. These obtained results lay the theoretical basis for the design and optimization of piezoelectric devices.

Automated summary

The guided waves in a 1-D hexagonal piezoelectric quasi-crystal plate were investigated using the Legendre polynomial method within Bak's model. Three cases of quasi-periodic directions were discussed, revealing new wave phenomena that can contribute to the design and optimization of piezoelectric devices.