Stress Distribution of Thin Circular Quartz Plate with the Radial Force

Abstract

Based on the analysis of stress distribution in the medium of semi-infinite anisotropic thin medium plates with centralized forces, in the method of protracting and adding additional stress, the relation of relative frequency variation and adding force azimuth and strength of the plates with the diameter centralized forces can be gained. And it is compared with relative frequency variation of resonation with central electrode. Meanwhile by using finite element method to analyze stress variation in different places when the quartz plate is with the diameter centralized forces, and the frequency variation characteristic of resonator in different places is also be measured in the actual evaporated electrode way.

The analysis of harmonic frequency of AT-cut disc-typed quartz crystals resonator

“…In the process of measurement, quartz crystal resonator converts the measurands such as displacement, force and pressure into the change of harmonic frequency [2][3][4]. Because of the anisotropy of quartz crystal, different quartz cutting and dimension, different harmonic frequency and vibration patterns.…”