Theoretical research on the bending effect of piezoelectric quartz and experimental verification

The bending effect of a piezoelectric quartz beam is first investigated in the paper. According to the anisotropic elasticity and Maxwell electromagnetic theory, the stress field and electrostatic field is deduced. The distribution of the electric field in the piezoelectric beam is calculated by the Finite Element Method. Based on the theoretical analysis of the bound charge distribution, using the partitioned electrode method the measuring electrodes are effectively disposed on the surfaces of the piezoelectric quartz beam. A specially designed experiment is performed to validate that the polarization charge is linear with the external force, and the experimental results are agreement with the theoretical ones. The research will provide the theoretical and experimental foundation for designing a new type of quartz resonator or actuator based on the bending effect of a quartz beam, and eventually establishing the piezoelectric theory of quartz crystal based on deformation analysis.