AbstractCommon piezoelectric resonators such as quartz resonators have a very high Q and ultra stable resonant frequency. However, due to small material nonlinearities in the quartz crystal, the resonator is drive level dependent, that is, the resonator level of activity and its frequency are depend...
AbstractCommon piezoelectric resonators such as quartz resonators have a very high Q and ultra stable resonant frequency. However, due to small material nonlinearities in the quartz crystal, the resonator is drive level dependent, that is, the resonator level of activity and its frequency are dependent on the driving, or excitation, voltage. The size of these resonators will be reduced to one fourth of their current sizes in the next few years, but the electrical power which is applied will not be reduced as much. Hence, the applied power to resonator size ratio will be larger, and the drive level dependency may play a role in the resonator designs.We study this phenomenon using the Lagrangian nonlinear stress equations of motion and Piola–Kirchhoff stress tensor of the second kind. Solutions are obtained using COMSOL for the AT-cut, BT-cut, SC-cut and other doubly rotated cut quartz resonators and the results compared well with experimental data. The phenomenon of the drive level dependence is discussed in terms of the voltage drive, electric field, power density and current density. It is found that the drive level dependency is best described in terms of the power density. Experimental results for the AT-, BT- and SC-cut resonators in comparison with our model results are presented. Results for new doubly rotated cuts are presented. The effects of spurious modes, quality factor and air damping on DLD are presented.
AbstractCommon piezoelectric resonators such as quartz resonators have a very high Q and ultra stable resonant frequency. However, due to small material nonlinearities in the quartz crystal, the resonator is drive level dependent, that is, the resonator level of activity and its frequency are dependent on the driving, or excitation, voltage. The size of these resonators will be reduced to one fourth of their current sizes in the next few years, but the electrical power which is applied will not be reduced as much. Hence, the applied power to resonator size ratio will be larger, and the drive level dependency may play a role in the resonator designs.We study this phenomenon using the Lagrangian nonlinear stress equations of motion and Piola–Kirchhoff stress tensor of the second kind. Solutions are obtained using COMSOL for the AT-cut, BT-cut, SC-cut and other doubly rotated cut quartz resonators and the results compared well with experimental data. The phenomenon of the drive level dependence is discussed in terms of the voltage drive, electric field, power density and current density. It is found that the drive level dependency is best described in terms of the power density. Experimental results for the AT-, BT- and SC-cut resonators in comparison with our model results are presented. Results for new doubly rotated cuts are presented. The effects of spurious modes, quality factor and air damping on DLD are presented.
Gagnepain, J.J., Poncot, J.C., Pegeot, C. 1977. Amplitude frequency behavior of doubly rotated quartz resonators. In: Proceedings of 31st Annual Symposium on Frequency Control, US Army Command, Fort Monmouth, New Jersey, pp. 17-22.
Warner, A.W., 1959. Interim Reps. Bell Telephone Lab., pp. 10-11.
10.1109/FREQ.1967.199681 Wood, A.F.B., Seed, A., 1967. Activity dips in AT-Cut crystals. In: Proc. of 21st Annual Symposium on Frequency Control, pp. 420-435B.
Journal of Acoustical Society of America Tiersten 660 1974 Nonlinear electrostatic equations cubic in small field variables
10.1109/FREQ.1974.200001 Tiersten, H.F., 1975. Analysis of trapped-energy resonators operating in overtones of coupled thickness shear and thickness twist. In: Proc. of 28th Annual Symposium on Frequency Control, p. 44.
Journal of Acoustical Society of America Tiersten 57 3 667 1975 10.1121/1.380491 Analysis of intermodulation in thickness-shear and trapped energy resonators
10.1007/s11433-007-0064-4 Yong, Y.K., Patel, M.S., Hou, J., Lam, C.S., 2007. Piezoelectric resonators with mechanical damping and resistance in current conduction. Science in China Series G: Physics, Mechanics and Astronomy 50 (5), 650-672.
Proceedings of the Royal Society Lamb 293A 479 1966 10.1098/rspa.1966.0185 Anisotropic acoustic attenuation with new measurement for quartz at room temperatures
International Critical Tables of Numerical Data, Physics, Chemistry and Technology, 1929. International Critical Tables of Numerical Data, Physics, Chemistry and Technology, first edition, vol. 5. Prepared under Int. Research Council of National Academy of Sciences, USA, pp. 6-7.
Yong, Y.-K., Patel, M., Tanaka, M., 2005. Estimation of quartz resonator Q and other figures of merit by an energy sink method. In: Proceedings of the 2005 IEEE International Frequency Control Symposium.
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