IEEE Trans Ultrason Ferroelectr Freq Control. 2010 Aug;57(8):1880-3. doi: 10.1109/TUFFC.2010.1628.
We study stress-induced frequency shifts in a rotated Y-cut quartz resonator (theta = 23.7 degrees ) with degenerate fundamental thickness-shear modes when the biasing stress is not present. Using the recently derived perturbation procedure for degenerate frequencies in crystal resonators, we show that when a planar stress system is applied, the degenerate frequency splits into two. This phenomenon is expected to be typical for degenerate frequencies in crystal resonators and may be responsible in part for the jump discontinuities in frequency temperature curves and other frequency jump phenomena.
我们研究了在没有偏置应力的情况下,旋转 Y 切石英谐振器(θ=23.7 度)中简并基频厚度剪切模式的应力感应频率移动。使用最近推导出的用于晶体谐振器简并频率的微扰程序,我们表明,当施加平面应力系统时,简并频率会分裂成两个。这种现象预计在晶体谐振器的简并频率中是典型的,并且可能部分导致频率温度曲线中的跳跃不连续性和其他频率跳跃现象。