Coupled extension and thickness-twist vibrations of lateral field excited AT-cut quartz plates
Coupled extension and thickness-twist vibrations of lateral field excited AT-cut quartz plates
复制标题
横向场激励 AT 切割石英板的耦合延伸和厚度扭转振动
DOI：
10.1007/s10409-014-0007-z
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发表时间：
2014-02-01
影响因子：
3.5
通讯作者：
Xie, Chao
中科院分区：
文献类型：
--
作者：
Ma, Ting-Feng;Wu, Rong-Xing;Xie, Chao
本文研究了沿x(1)方向变化的横向电场激励(LFE)作用下AT切石英板的拉伸和厚度-扭转耦合振动。各向异性晶片采用Mindlin二维方程。同时考虑了自由振动和电强迫振动。得到了重要的振动特性，包括色散关系、频谱和运动电容。结果表明，为了避免伸缩振动和厚度-扭转振动之间的耦合影响，需要排除一系列晶片长厚比的离散值。研究结果对LFE谐振器和传感器的设计具有重要的指导意义。
In this paper, the coupled extension and thickness-twist vibrations are studied for AT-cut quartz plates under Lateral Field Excitation (LFE) with variations along the x (1)-direction. Mindlin's two-dimensional equations are used for anisotropic crystal plates. Both free and electrically forced vibrations are considered. Important vibration characteristics are obtained, including dispersion relations, frequency spectra, and motional capacitances. It is shown that, to avoid the effects of the couplings between extension and thickness-twist vibrations, a series of discrete values of the length/thickness ratio of the crystal plate need to be excluded. The results are of fundamental significance for the design of LFE resonators and sensors.