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电信和无线电工程
SJR: 0.203 SNIP: 0.44 CiteScore™: 1

ISSN 打印: 0040-2508
ISSN 在线: 1943-6009

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电信和无线电工程

DOI: 10.1615/TelecomRadEng.v78.i20.10
pages 1781-1794

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

Serhii Khutornenko
National Aerospace University (Kharkov Aviation Institute), 17 Chkalov St., Kharkiv, 61070, Ukraine
O. Osadchuk
Vinnitsa National Technical University, 95 Khmelnytske Hwy, Vinnitsa, 21021, Ukraine
D. Vasilchuk
Ukrainian Engineering Pedagogics Academy, Educational-Scientific Professionally-Pedagogical Institute, 5 Myru St., Bakhmut, 84501, Ukraine
D. Semenets
Ukrainian Engineering Pedagogics Academy, Educational-Scientific Professionally-Pedagogical Institute, 5 Myru St., Bakhmut, 84501, Ukraine

ABSTRACT

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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