An analysis of frequency of a quartz crystal tuning fork by Sezawa's approximation-the effect of clamped position of its base

The base of a quartz crystal tuning fork has not usually been taken into consideration in the analysis of frequency by the bar model. The right half section of a quartz crystal tuning fork was approximated to an L-shaped bar and then its frequency analyzed by Sezawa's approximation with the effect of clamped position of its base taken into account. A comparison was made of frequencies calculated by this theory with those by the conventional cantilever model and of frequency changes calculated by this theory with those by FEM, and the influence of both the clamped position and length of the base on frequency and frequency change is discussed.

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