On the tracking of resonance and antiresonance of a piezoelectric resonator
A quantitative analysis of the tracking of the zero-phase resonance frequency, f(r), and antiresonance frequency, f(a), of a piezoelectric resonator reported previously by the author (1990) is presented. Integral and integrodifferential equations for the system angular frequency omega( t) are derive...
| Publié dans: | IEEE transactions on ultrasonics, ferroelectrics, and frequency control. - 1986. - 38(1991), 3 vom: 28., Seite 231-6 |
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| Auteur principal: | |
| Format: | Article |
| Langue: | English |
| Publié: |
1991
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| Accès à la collection: | IEEE transactions on ultrasonics, ferroelectrics, and frequency control |
| Sujets: | Journal Article |
| Résumé: | A quantitative analysis of the tracking of the zero-phase resonance frequency, f(r), and antiresonance frequency, f(a), of a piezoelectric resonator reported previously by the author (1990) is presented. Integral and integrodifferential equations for the system angular frequency omega( t) are derived, and numerical calculations are carried out for a model in which the voltage-controlled oscillator (VCO) is of first order and the phase angle of the piezoelectric resonator is represented by a single square-well function of omega. In order to confirm the plausibility of the model, the resulting omega(t) and VCO input waveforms and phase-plane trajectories are compared with the corresponding results for the exact phase angle function. Lock-in conditions and lock-acquisition time are expressed in terms of dimensionless quantities involving the difference between initial frequency and either of f(r) or f(a), the difference f(a)-f (r), the loop gain, the VCO delay time constant, and the loop filter time constant. The results are consistent with the experimental data for a sample PZT resonator |
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| Description: | Date Completed 02.10.2012 Date Revised 12.02.2008 published: Print Citation Status PubMed-not-MEDLINE |
| ISSN: | 1525-8955 |