An analysis of the in-plane acceleration sensitivity of contoured quartz resonators stiffened by identical top and bottom quartz cover plates supported by clips

Since it is impossible to construct a perfectly symmetric resonator plus support configuration in practice, a stiffened structure which significantly reduces the linear increase in acceleration sensitivity with fabrication error has been under investigation. The normal acceleration sensitivity of this configuration was treated and a sharp minimum in the linear increase in the normal acceleration sensitivity with fabrication error was found for a particular case. An analysis of the linear increase in the in-plane acceleration sensitivity for the stiffened configuration is performed. Results are presented which show the influence of differences in the properties of the mounting clips and a mispositioning of either a clip or the mode shape for a range of thickness of the cover plates relative to the active plate