An analysis of drive level sensitivity in thickness shear quartz resonators

Theoretical modeling of the interaction between a thickness shear quartz resonator and a surface irregularity is used to characterize drive level dependent changes in resistance at series resonance R_s . In contrast to past efforts that used lumped mass/spring models, the present work uses a distributed model for the resonator and for some of the shapes of surface irregularities examined. The present work uses linear modeling and introduces drive level effects with either a variable friction coefficient or a variable resonant frequency in the surface irregularity, the goal being to identify the possible type, size, and number of surface irregularities causing observed changes in R _s with drive level