Abstract：Piezoelectric quasi-crystal materials possess excellent piezoelectric and phonon-phason coupling effects, ensuring they have promising applications in piezoelectric devices, such as sensors. For the design and optimization of piezoelectric sensors, the free vibration of one-dimensional hexagonal piezoelectric quasi-crystal discs is investigated using three-dimensional electro-elasticity theory and the improved double Legendre orthogonal polynomial method. The influence of the diameter-height ratio and phonon-phason coupling effect on the resonance frequency is analyzed. Based on the finite element method, a simulation program for the free vibration of piezoelectric quasi-crystal discs was developed to verify the theoretical calculation results. The results show that changing the diameter-to-height ratio significantly influences the normalized frequency of the phason modes, and the higher-order modes are more sensitive to the change of the diameter-to-height ratio. The influence of phonon-phason coupling coefficients on the phason modes is more significant.
2025, Vol. 46 
