Statistics – Computation
Scientific paper
Jun 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992esasp.340..273b&link_type=abstract
In ESA, Frequency and Time Forum p 273-277 (SEE N93-24978 09-70)
Statistics
Computation
Dynamic Characteristics, Modal Response, Quartz Crystals, Resonant Frequencies, Differential Equations, Harmonic Analysis, Mathematical Models, Resonators, Thickness, Trapping
Scientific paper
Based upon the general relation of dispersion for a quartz plate of doubly rotated cut, an analytical model is presented. It describes the modes shapes of a resonator exhibiting a linear thickness variation along in-plane directions and is only submitted to the following assumptions: small wave numbers along the plate plane and slowly varying thickness. The proposed model allows a direct computation of overtones and anharmonic mode frequencies, as well as the motional elements of the resonator, as functions of the tilt angle.
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