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Model for a Quartz-Crystal Tuning Fork Using Torsion Spring at the Joint of the Arm and the Base and Analysis of Its Frequency

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Copyright (c) 2002 The Japan Society of Applied Physics
, , Citation Hideaki Itoh et al 2002 Jpn. J. Appl. Phys. 41 3422 DOI 10.1143/JJAP.41.3422

1347-4065/41/5S/3422

Abstract

We developed a method for analyzing the frequency of a quartz-crystal tuning fork using a torsion spring model. In order to calculate the frequency near the actual frequency of the tuning fork, we approximated the right half of the tuning fork as an L-shaped bar in which two bars acting as the base and the arm undergo bending vibration. Furthermore, we applied the torsion spring model with torsion spring constant R to the joint of beam A corresponding to the base and beam B corresponding to the arm. A comparison was made between frequencies calculated by this method and experimental results, and the relationship between R and the width of the base was discussed.

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10.1143/JJAP.41.3422