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Advances in Acoustics and Vibration
Volume 2014, Article ID 746847, 9 pages
Research Article

Analysis of Excitation and Dead Vibration Modes of Quartz Resonators

Department of Mechanical Design Engineering, National Formosa University, No. 64, Wenhua Road, Huwei Township, Yunlin County 632, Taiwan

Received 12 September 2013; Revised 25 December 2013; Accepted 25 December 2013; Published 10 February 2014

Academic Editor: Rama Bhat

Copyright © 2014 Zi-Gui Huang and Zheng-Yu Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This study uses the finite element method (FEM) to analyze the excitation and dead vibration modes of two-dimensional quartz plates. We first simplify three-dimensional quartz plates with plane strain simplification and then compare the modes of the simplified three-dimensional plates to those of two-dimensional plates. We then analyze quartz vibrating elements of AT-cut plates and SC-cut plates. To understand the regularity of the resonance frequency of plates that are excitable by voltage loading, we compare the natural vibrations of quartz plates with the excitation frequency generated after the plates are excited by voltage loading.