厚度砍和厚度扭曲颤动一有限并且部分, electroded 在切割石英共鸣器被调查。各向异性的弹性的方程与小有弹性的经常的 c56 的省略被使用。一个分析答案用从的 Fourier 系列被获得免费颤动套住的反响的频率,模式形状,和精力被计算并且检验。
The thickness-shear and thickness-twist vibrations of a finite and partially elec- troded AT-cut quartz resonator are investigated. The equations of anisotropic elasticity are used with the omission of the small elastic constant c56. An analytical solution is obtained using Fourier series from which the free vibration resonant frequencies, mode shapes, and energy trapping are calculated and examined.