Simulation and verification of piezoelectric torsional effect of quartz pillar

摘要

The simulation and experimental verification of torsional effect of a piezoelectric quartz pillar is studied in the article. Based on the theory of elasticity of an anisotropic body, the torsion stress function is obtained. According to the Maxwell electromagnetic theory the Poisson equation and boundary conditions of the electrostatic field in the quartz pillar is deduced, and then by the piezoelectric equation the distribution of bound volume and surface charge densities are computed. By Finite element method, the distributions of the potential and the electric field intensity by torsion are simulated. Based on theoretical analyses of the bound charge densities and simulation, the detection electrodes are effectively disposed on the surface of the piezoelectric pillar. The theoretical and experimental results show that the charge measured is linear with the torque applied. The research on torsional effect of piezoelectric quartz will provide a new method for torque measurement.