双旋转圆形石英谐振器加速度不灵敏度的参数化研究

Pcy Lee, M. Tang
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引用次数: 5

摘要

本研究的目的是通过计算各种谐振器参数的综合效应,寻找可能对加速度不敏感的圆形石英谐振器,以降低或最小化加速度灵敏度。利用Mindlin晶体板二维一阶平衡方程的有限元解,计算了由任意方向的稳定加速度作用在晶体盘上所引起的初始位移梯度和应变。然后将这些初始位移梯度和应变作为已知函数考虑到增量厚度振动的频率方程中,然后通过摄动方法求解频率变化。
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Parametric study of acceleration insensitivity of doubly rotated circular quartz resonators
The purpose of the study was to search for potentially acceleration-insensitive circular quartz resonators by computing the combined effect from various resonator parameters in order to reduce or minimize acceleration sensitivity. Initial displacement gradients and strains that were caused by the steady acceleration of an arbitrary direction acting on a crystal disk are calculated from the finite-element solution of Mindlin's two-dimensional first-order equations of equilibrium of crystal plates. These initial displacement gradients and strains are then taken into account as known functions in the frequency equation of incremental thickness vibrations which is, in turn, solved for frequency changes by a perturbation method.<>
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