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Telecommunications and Radio Engineering

Publicado 12 números por año

ISSN Imprimir: 0040-2508

ISSN En Línea: 1943-6009

SJR: 0.185 SNIP: 0.268 CiteScore™:: 1.5 H-Index: 22

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TWO-DIMENSIONAL MODEL OF QUARTZ RESONATOR ON BASIS OF MATRIX-OPERATOR METHOD

Volumen 78, Edición 20, 2019, pp. 1781-1794
DOI: 10.1615/TelecomRadEng.v78.i20.10
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SINOPSIS

We consider a mathematical model of the electromechanical thickness-shear oscillations of plates of limited dimensions of the rotated Y-cut quartz on basis of solving the equations of state, motion and electrostatics by a matrix-operator method. Analytical expressions are obtained for mechanical stress, mechanical displacement, potential and resonant frequency of oscillations that take into account the influence of geometric dimensions of plates of oscillatory systems in communication devices, sensors and other mechatronic systems. The results of numerical analysis for the case of an AT-cut quartz are presented, the dependence of the resonance frequency on both the thickness and the width of the plate is taken into account, the dependences of the relative vibration frequency on the ratio of geometric dimensions of the plate for different oscillation modes are presented. It is shown that in the case of oscillation excitation of the piezoelectric element at higher harmonics, the dependence of the relative frequency on the plate width changes, which is an important factor in the design of piezoresonant devices.

REFERENCIAS
  1. Pidchenko, S., (2013) Dual-frequency temperature-compensated Quartz Crystal Oscillator, Proceedings of IEEE 23th Int. Crimean Conf. Microwave and Telecommunication Technology, September 8-14, Sevastopol, Crimea, Ukraine, 2013, pp. 669-670.

  2. Pidchenko, S. and Taranchuk, A., (2016) Principles of Quartz Multifrequency Oscillatory Systems with Digital Compensation of Temperature and Vibrational Instability Frequency, Proceedings of IEEE International Conference Radio Electronics & Info Communications, (UkrMiCo-2016), Kyiv, Ukraine, pp. 281-284.

  3. Yang, J., Zhou, H.G., and Zhang, W.P., (2006) The Mechanics of Piezoelectric Structures: World Scientific, Singapore, 312 p.; Thickness-shear vibration of rotated Y-cut quartz plates with relatively thick electrodes of unequal thickness, IEEE Trans, on Ultrasonics, Ferroelectrics, and Frequency Control, 52, pp. 918-922.

  4. Yang, J., (2009) Special Topics in the Theory of Piezoelectricity, Springer Science + Business Media, 329 p.

  5. Yang, Z., Guo, S., Hu, Y., and Yang, J., (2009) Thickness-shear Vibration of Rotated Y-cut Quartz Plates with Unattached Electrodes and Asymmetric Air Gaps, Philosophical Magazine Letters, 89(5), pp. 313-321.

  6. Yang, J.S., Hu, Y.T., Zeng, Y., and Fan, H., (2006) Thickness-shear vibration of rotated Y-cut quartz plates with imperfectly bounded surface mass layers, IEEE Trans, on Ultrasonics, Ferroelectrics, and Frequency Control, 53, pp. 241-245.

  7. Yao, S.Y., Huang, R., and Lam, C.S., (2007) Energy trapping effect of stepped electrode in miniature AT-cut quartz resonator, in: Ji Wang, Weiqiu Chen (eds.), Piezoelectricity, Acoustic Waves, and Device Applications, World Scientific, Singapore, pp. 152-154.

  8. Chen, H., Wang, J., Du, J.K., and Yang, J.S., (2015) Thickness-shear modes and energy trapping in a rectangular piezoelectric quartz resonator with partial electrodes, Ferroelectrics Letters, 42, pp. 10-17.

  9. Li, P., Jin, F., and Yang, J.S., (2012) Thickness-shear vibration of an AT-cut quartz resonator with a hyperbolic contour, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 59, pp. 1006-1012.

  10. Wang, W.J., Wu, R.X., Wang, J., Du, J.K., and Yang, J.S., (2013) Thickness-shear modes of an elliptic, contoured AT-cut quartz resonator, IEEE Trans. Ultrason., Ferroelect., Freq. Contr., 60, pp. 1192-1198.

  11. Liu, N., Yang, J., and Chen, W., (2011) Effects of a mass layer with gradually varying thickness on a quartz crystal microbalance, IEEE Sensors Journal, 11(8), pp. 1635-1639.

  12. Wang, J., Shen, L.J., and Yang, J.S., (2008) Effects of electrodes with continuously varying thickness on energy trapping in thickness-shear mode quartz resonators, ULTRASONIC, 48(2), pp. 150-154.

  13. Liu, N., Yang, J., and Chen, W., (2011) Effects of mass layer nonuniformity on a quartz-crystal microbalance, IEEE Sensors Journal, 11(4), pp. 934-938.

  14. Khutornenko, S., Vasilchuk, D., Semenets, D., and Komolov, V., (2016) Mathematical model of fluctuations of the piezoelement on the basis of the matrix symbolical method, Radioelektronni i Kompyuterni Systemy, 2(76), pp. 26-31, (in Russian).

  15. Parton, V.Z. and Kudrjavcev, B.A., (1988) Electromagnetoelasticity of Piezoelectric and Electrowire Bodies, Moscow, Russia: Science. Ch. ed. Phys.-mat. lit., 472 p., (in Russian).

  16. Khutornenko, S.V., Krivenko, S.S., Lukin, V.V., Semenets, D.A., and Vasilchuk, D.P., (2017) Mathematical model of the piezoelectric vibrating system with the electrode of the hyperbolic form in air gap, IEEE 37th International Conference on Electronics and Nanotechnology (ELNANO), Conference Proceedings, 18-20 April, Kyiv, Ukraine, pp. 465-470.

  17. Khutornenko, S., Osadchuk, O., Osadchuk, I., Vasilchuk, D., Semenets, D., and Lukin, V., (2017) Mathematical model of piezoelectric oscillating system with electrodes of variable nonlinear and constant linear air gap, Telecommunications and Radio Engineering, 76(18), pp. 1639-1648.

  18. Khutornenko, S.V., Lukin, V.V., Krivenko, S.S., Vasilchuk, D.P., and Semenets, D.A., (2018) Oscillation frequency of piezoelectric oscillating system with electrodes of hyperbolic and linear form in variable air gap, IEEE 38th International Conference on Electronics and Nanotechnology (ELNANO), Conference Proceedings, 24-26 April, Kyiv, Ukraine, pp. 325-330.

  19. Khutornenko, S.V., Osadchuk, A.V., Vasilchuk, D.P., Semenets, D.A., and Abramova, V.V., (2018) TSh vibrations of limited size plates of rotated y-cut quartz with development of matrix-operation method for solving equations, IEEE International Conference on Mathematical Methods in Electromagnetic Theory (MMET), Conference Proceedings, 2-5 July, Kyiv, Ukraine, pp. 346-349.

  20. Tiersten, H.F., (1995) Linear Piezoelectric Plate Vibrations: Elements of the Linear Theory of Piezoelectricity and the Vibrations of Piezoelectric Plates, Springer US, 212 p.

  21. Dwight, H.R., (1961) Tables of Integrals and Other Mathematical Data, New York: Macmillan, 288 p.

  22. Mindlin, R.D., (1972) High Frequency Vibrations of Piezoelectric Crystal Plates, Columbia Univ Newyork Dept of Civil Engineering and Engineering Mechanics, 8, pp. 895-906.

  23. Wang, J. and Lee, P.C.Y., (1996) The effect of contouring on the thickness-shear and flexural vibrations of anisotropic strips, Proc. IEEE Ultrason. Symp., pp. 977-980.

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