Numerical Analysis of Three-Dimensional Coupled Vibrations of Rectangular AT-Cut Quartz Plates with X-Edge Regions of Heavy Viscosity
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概要
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Coupled vibrations in AT-cut quartz plates were analyzed. In this analysis, the viscosity constants of edge regions were multiplied by the weighting coefficient $\mathit{Wv}$. The viscosity data of quartz measured by Lamb and Richter were introduced into the analysis. The admittance charts and complex resonant frequencies near the main thickness-shear (TS) response were calculated as a function of increasing loss coefficient $\mathit{Wv}$. The calculation results revealed that for two strongly coupled vibrations, a single resonance was observed on the real frequency axis and the resonant resistance decreased as $\mathit{Wv}$ increased. Moreover, there was an optimal $\mathit{Wv}$ to obtain the highest $Q$ of the main TS resonance and to control the spurious pole. It was also shown that even at optimum, the suppression of spurious resonance was incomplete, and an undesirable jump of resistance occurred in the temperature behavior of the main resonance.
- 2008-05-25
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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Tamura Jun
Graduate School of Engineering, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan
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Goka Shigeyoshi
Graduate School of Science and Engineering, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397, Japan
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Tamura Jun
Graduate School of Science and 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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