Zhang Weiping, Yang Zengtao, Yang Jiashi
IEEE Trans Ultrason Ferroelectr Freq Control. 2008 Jul;55(7):1665-8. doi: 10.1109/TUFFC.2008.843.
We show that the well-known Stevens-Tiersten equation for essentially thickness modes in doubly rotated quartz resonators is mathematically analogous to the equation governing the transverse motion of a pre-stretched elastic membrane resting on an elastic foundation. The implication of this analogy is that commercial finite element software for structural analysis can be used to solve the Stevens-Tiersten equation for resonators.
我们证明，双旋转石英谐振器中本质厚度模式的著名史蒂文斯 - 蒂尔斯滕方程在数学上类似于描述置于弹性基础上的预拉伸弹性膜横向运动的方程。这种类比的意义在于，可使用商业结构分析有限元软件来求解谐振器的史蒂文斯 - 蒂尔斯滕方程。
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