Mechanical & Materials Engineering, Department of
Date of this Version
Summer 6-2013
Citation
Huijing He, et al. "Thickness-shear and thickness-twist vibrations of circular AT-cut quartz resonators" Acta Mechanica Solida Sinica Vol. 26 Iss. 3 (2013) p. 245 - 253
Abstract
Exact solutions for free vibration frequencies and modes are obtained for thickness-shear and thickness-twist vibrations of unelectroded circular AT-cut quartz plates governed by the two-dimensional scalar differential equation derived by Tiersten and Smythe. Comparisons are made with experimental results and the widely-used perturbation solution by Tiersten and Smythe under the assumption of weak in-plane anisotropy. Our solution is found to be much closer to the experimental results than the perturbation solution . For the frequency of the fundamental thickness- shear mode, the error of the perturbation method is 0.4549%, significant in resonator applications.
Included in
Mechanics of Materials Commons, Nanoscience and Nanotechnology Commons, Other Engineering Science and Materials Commons, Other Mechanical Engineering Commons
Comments
Published by AMSS Press, Wuhan, China