Finite Element Analysis of Displacement at Base Portion of a Quartz Crystal Tuning Fork

Abstract

A finite element method is used to analyze the displace- ments at the base portion of B quartz crystal tuning fork for a wristwatch unit. From the analysis, the quantitative reason for the great improve- ment in the effective reasonant quality factor Qe of the supported tun- ing fork with ann comers cut off becomes clear. This desirable charac- teristic is also realized in tuning forks with a circle hole at the slit end or those with a wide base portion.