کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1759531 1019282 2011 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The calculation of electrical parameters of AT-cut quartz crystal resonators with the consideration of material viscosity
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم آکوستیک و فرا صوت
پیش نمایش صفحه اول مقاله
The calculation of electrical parameters of AT-cut quartz crystal resonators with the consideration of material viscosity
چکیده انگلیسی

Electrical parameters like resistance and quality factor of a quartz crystal resonator cannot be determined through vibration analysis without considering the presence of material dissipation. In this study, we use the first-order Mindlin plate equations of piezoelectric plates for thickness-shear vibrations of a simple resonator model with partial electrodes. We derive the expressions of electrical parameters with emphasis on the resistance that is related to the imaginary part of complex elastic constants, or the viscosity, of quartz crystal. Since all electrical parameters are frequency dependent, this procedure provides the chance to study the frequency behavior of crystal resonators with a direct formulation. We understand that the electrical parameters are strongly affected by the manufacturing process, with the plating techniques in particular, but the theoretical approach we presented here will be the first step for the precise estimation of such parameters and their further applications in the analysis of nonlinear behavior of resonators. We calculated the parameters from our simple resonator model of AT-cut quartz crystal with the first-order Mindlin plate theory to demonstrate the procedure and show that the numerical results are consistent with earlier measurements.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Ultrasonics - Volume 51, Issue 1, January 2011, Pages 65–70
نویسندگان
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