Comparison of lumped-element and transmission-line models forthickness-shear-mode quartz resonator sensors

摘要

Both a transmission-line model and its simpler variant, anlumped-element model, can be used to predict the responses of anthickness-shear-mode quartz resonator sensor. Relative deviations in thenparameters computed by the two models (shifts in resonant frequency andnmotional resistance) do not exceed 3% for most practical sensornconfigurations operating at the fundamental resonance. If the ratio ofnthe load surface mechanical impedance to the quartz shear characteristicnimpedance does not exceed 0.1, the lumped-element model always predictsnresponses within 1% of those for the transmission-line model