title: Membrane analogy of the Stevens-Tiersten equation for essentially thickness modes in plate quartz resonators.
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.
authors.forename: Weiping
authors.initials: W
authors.lastname: Zhang
authors.forename: Zengtao
authors.initials: Z
authors.lastname: Yang
authors.forename: Jiashi
authors.initials: J
authors.lastname: Yang
mesh_terms: D000162:Acoustics / Q000295:instrumentation*; D003198:Computer Simulation; D017076:Computer-Aided Design; D004581:Electronics / Q000295:instrumentation*; D004867:Equipment Design; D019544:Equipment Failure Analysis; D008962:Models, Theoretical; D011791:Quartz / Q000737:chemistry*; D012542:Scattering, Radiation; D014159:Transducers; D014732:Vibration
chemical_list: D011791:Quartz