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  • Title: Membrane analogy of the Stevens-Tiersten equation for essentially thickness modes in plate quartz resonators.
    Author: Zhang W, Yang Z, Yang J.
    Journal: IEEE Trans Ultrason Ferroelectr Freq Control; 2008 Jul; 55(7):1665-8. PubMed ID: 18986957.
    Abstract:
    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.
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