Numerical Analysis of Three-Dimensional Coupled Vibrations of Rectangular AT-Cut Quartz Plates with X-Edge Regions of Heavy Viscosity
Numerical Analysis of Three-Dimensional Coupled Vibrations of Rectangular AT-Cut Quartz Plates with X-Edge Regions of Heavy Viscosity
复制标题
X 边缘高粘度矩形 AT 切割石英板三维耦合振动的数值分析
DOI：
10.1143/jjap.47.3702
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发表时间：
2008
影响因子：
1.5
通讯作者：
Y. Watanabe
中科院分区：
文献类型：
--
作者：
H. Sekimoto;J. Tamura;S. Goka;Y. Watanabe
分析了 AT 切割石英板的耦合振动。在此分析中，边缘区域的粘度常数乘以加权系数Wv。将Lamb和Richter测量的石英粘度数据引入分析中。主厚度剪切 (TS) 响应附近的导纳图和复共振频率被计算为增加的损耗系数 Wv 的函数。计算结果表明，对于两个强耦合振动，在实频轴上观察到单一共振，并且共振电阻随着Wv的增加而减小。此外，存在一个最佳Wv来获得主TS谐振的最高Q值并控制杂散极点。还表明，即使在最佳状态，寄生谐振的抑制也不完全，并且主谐振的温度行为中会出现不希望的电阻跳跃。
Coupled vibrations in AT-cut quartz plates were analyzed. In this analysis, the viscosity constants of edge regions were multiplied by the weighting coefficient 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 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 Wv increased. Moreover, there was an optimal 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.