Influence of Viscosity Loss on Three-Dimensional Vibrations of Rectangular AT-Cut Quartz Plates
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概要
- 論文の詳細を見る
We introduced the viscosity loss of quartz, and analyzed three-dimensional (3-D) coupled vibrations of a very high frequency (VHF) rectangular AT-cut quartz plate with partial electrodes. Classical mode matching was utilized to solve the 3-D problem for forced vibration. From the admittance chart near the main thickness-shear (TS) response, we extracted the variation of resonant frequencies and resistances with the magnitudes of mode coupling. The results revealed that we could estimate the lower bound of resonant resistances or the upper bound of $Q$s for VHF rectangular AT-cut plates by introducing the viscosity constants of quartz that were measured by Lamb and Richter. We also found that two series resonances on the real frequency axis could occur only within a limited range of the length-to-thickness ratio, and although each of two resonant frequencies was almost the same as that evaluated with an assumption of no losses, the corresponding resistances increased with the magnitudes of mode coupling.
- Published by the Japan Society of Applied Physics through the Institute of Pure and Applied Physicsの論文
- 2007-07-30
著者
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Watanabe Yasuaki
Graduate School of Science and Engineering, Tokyo Metropolitan Univ.
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Sekimoto Hitoshi
Graduate School Of Engineering Tokyo Metropolitan University
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Goka Shigeyoshi
Graduate School Of Engineering Tokyo Metropolitan University
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Sekimoto Hitoshi
Graduate School of Engineering, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan
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Tamura Jun
Graduate School of Engineering, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan
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Goka Shigeyoshi
Graduate School of Engineering, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan
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Watanabe Yasuaki
Graduate School of Engineering, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan
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Watanabe Yasuaki
Graduate School of Engineering, Tokyo Metropolitan University, 1-1 Minamiosawa, Hachioji, Tokyo 192-0397, Japan
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Watanabe Yasuaki
Graduate School of Engineering, Tokyo Metropolitan University,
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