Mechanical & Materials Engineering, Department of
Document Type
Article
Date of this Version
Winter 10-2011
Citation
Huijing He et al. "Thickness-shear and Thickness-twist Vibrations of an AT-cut Quartz Mesa Resonator" IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control Vol. 58 Iss. 10 (2011) p. 2050 - 2055
Abstract
We study thickness-shear and thickness-twist vibrations of an AT-cut quartz plate mesa resonator with stepped thickness. The equations of anisotropic elasticity are used with the omission of the small elastic constant c56. An analytical solution is obtained using Fourier series from which the resonant frequencies, mode shapes, and energy trapping are calculated and examined. The solution shows that a mesa resonator exhibits strong energy trapping of thickness-shear and thickness-twist modes, and that the trapping is sensitive to some of the structural parameters of the resonator.
Included in
Mechanics of Materials Commons, Nanoscience and Nanotechnology Commons, Other Engineering Science and Materials Commons, Other Mechanical Engineering Commons
Comments
© 2011 IEEE