Abstract
We developed a method for analyzing the effect of a supporting wire on the frequency of a quartz-crystal tuning fork independent of the finite element method (FEM). In order to estimate the influence of the supporting wire of the tuning fork, we approximated the right half of the tuning fork as an L-shaped bar in which the bars at both the base and the arm undergo bending vibration. Furthermore, we approximated the supporting wire as an elastic foundation with a spring constant K. A comparison was made between frequency changes calculated by this method and those calculated by FEM, and the influences of spring constant K and the length of the supporting wire on the frequency change calculated by this method are discussed.
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