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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.
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Received: 19 March 2025
Published: 26 June 2025
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Corresponding Authors:
Bo wuZhang
E-mail: bozhanghpu@163.com
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2025, Vol. 46 
