Research and Simulation of the Bending Effect of Piezoelectric Quartz under Uniformly Distributed Load

The bending effect of a piezoelectric quartz beam under uniformly distributed load is studied. First according to the anisotropic elasticity, the differential equation in the form of plane stress function is obtained, and then the bending stress components are calculated. By the piezoelectric equation the polarization is obtained. By means of the electrostatic theory in the presence of matter the bound surface charge and bound volume charge are computed, and then by the Finite Element Method the distribution of the electric field in the piezoelectric body is simulated. Based on theoretical analysis of the bound charge distribution, the measuring electrodes are effectively disposed on the surfaces of the piezoelectric quartz beam, and then a specially designed experimental is performed. Finally in order to obtain the maximum of bending charge sensitivity, the method of optimization cutting angle of quartz bar is applied. Both theoretical calculation and experimental results show that the bending effect exists, and the polar charge is linear with the external force. Undoubtedly this research will provide the theoretical and experimental foundation for the piezoelectric theory of quartz crystal based on deformation analysis.