TY - JOUR
T1 - Thickness-shear vibration of an AT-cut quartz resonator with a hyperbolic contour
AU - Li, Peng
AU - Jin, Feng
AU - Yang, Jiashi
PY - 2012
Y1 - 2012
N2 - A theoretical analysis is performed on thicknessshear vibrations of a contoured AT-cut quartz resonator with a hyperbolic thickness variation using the Legendre equation and hypergeometric function. Based on the solution, resonant frequencies and modes are calculated. Strong energy trapping of the modes is observed. The effects of the parameters of the hyperbolic contour on resonant frequencies and modes are examined. A comparison with the conventional contoured resonator in the literature with a quadratic thickness variation is made. The behaviors of the two types of resonators are qualitatively similar, with small but significant quantitative differences.
AB - A theoretical analysis is performed on thicknessshear vibrations of a contoured AT-cut quartz resonator with a hyperbolic thickness variation using the Legendre equation and hypergeometric function. Based on the solution, resonant frequencies and modes are calculated. Strong energy trapping of the modes is observed. The effects of the parameters of the hyperbolic contour on resonant frequencies and modes are examined. A comparison with the conventional contoured resonator in the literature with a quadratic thickness variation is made. The behaviors of the two types of resonators are qualitatively similar, with small but significant quantitative differences.
UR - https://www.scopus.com/pages/publications/84861520943
U2 - 10.1109/TUFFC.2012.2286
DO - 10.1109/TUFFC.2012.2286
M3 - 文章
AN - SCOPUS:84861520943
SN - 0885-3010
VL - 59
SP - 1006
EP - 1012
JO - IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
JF - IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
IS - 5
M1 - 6202425
ER -