Model for a Quartz-Crystal Tuning Fork Using Plate Spring Approximated to Torsion Spring Adopted at the Joint of the Arm and the Base
| Autor: | Hideaki Itoh, Y. Aoshima, Yuuki Sakaguchi |
|---|---|
| Rok vydání: | 2003 |
| Předmět: |
Physics
Cantilever Physics and Astronomy (miscellaneous) business.industry Bar (music) General Engineering Torsion (mechanics) General Physics and Astronomy Geometry Structural engineering Fundamental frequency Spring (mathematics) Torsion spring law.invention Vibration Length measurement law Bending stiffness Tuning fork business Beam (structure) |
| Zdroj: | Japanese Journal of Applied Physics. 42:3110-3114 |
| ISSN: | 1347-4065 0021-4922 |
| DOI: | 10.1143/jjap.42.3110 |
| Popis: | We developed a method for analyzing the frequency of a quartz-crystal tuning fork using a plate spring approximation. In order to calculate the actual frequency of the tuning fork, we approximated the right half of the tuning fork to an L-shaped bar, which two bars acting as the base and the arm undergo bending vibration, and a torsion spring at the joint of beams A corresponding to the base and B corresponding to the arm combined to form. Furthermore, we approximated the torsion spring with torsion spring constant R to a plate spring composed of the base. R was expressed in terms of both the sizes and the bending stiffness of the tuning fork. We could obtain a series of equations for calculating the frequency of the tuning fork by plate spring approximation and the convenient new frequency equation for a cantilever with the length l/sub 2/+w/sub 1//10 by considering the bend of a plate spring. A comparison was made of frequencies calculated by these methods and experimental results. |
| Databáze: | OpenAIRE |
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