Publicado 12 números por año
ISSN Imprimir: 0040-2508
ISSN En Línea: 1943-6009
Indexed in
TWO-DIMENSIONAL MODEL OF QUARTZ RESONATOR ON BASIS OF MATRIX-OPERATOR METHOD
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.
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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.
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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.
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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.
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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.
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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.
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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.
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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.
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