中文摘要：

在这份报纸，联合延期和厚度扭曲颤动沿着 x 1 方向与变化在侧面的地刺激(LFE ) 下面为在切割石英盘子被学习。Mindlins 二维的方程被用于各向异性的水晶盘子。免费、电子上强迫的颤动被考虑。重要颤动特征被获得，包括分散关系，频率系列，和动的电容。它被看那，到避免在扩展和厚度扭曲颤动之间的 couplings 的效果，水晶板的长度 / 厚度比率的一系列分离价值需要被排除。结果具有为 LFE 共鸣器和传感器的设计的基本意义。

英文摘要：

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 x1- 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.