Title :
An analysis of frequency of a quartz crystal tuning fork resonator by modifidy Sezawa´s theory
Author :
Xiang-wu Xu ; Ji Wang ; Zhen Wang ; Ting-feng Ma ; Jian-ke Du
Author_Institution :
Piezoelectr. Device Lab., Ningbo Univ., Ningbo, China
Abstract :
The resonance frequency of a quartz crystal tuning fork resonator for applications in communication and electronic system has been analyzed by Sezawa with Euler-Bernoulli beam theory and modifications. To improve the accuracy in the vibration frequency and mode shape prediction, the Timoshenko beam theory is used with the resonator model and boundary conditions. The solution procedure is the same and the results are different with noticeable gap. This reminds us that the analytical solutions are to be validated with other techniques before it can be used in the resonator design and optimization. The emerging applications of tuning fork type resonators through MEMS technology demands further analytical studies with new approaches.
Keywords :
crystal resonators; vibrations; Euler-Bernoulli beam theory; MEMS technology; Timoshenko beam theory; boundary conditions; communication system; electronic system; mode shape prediction; modifidy Sezawa theory; quartz crystal tuning fork resonator model; resonance frequency; vibration frequency analysis; Boundary conditions; Crystals; Equations; Joints; Mathematical model; Resonant frequency; Vibrations; Beam; Frequency; Quartz crystal; Resonator; Tuning fork; Vibration;
Conference_Titel :
Piezoelectricity, Acoustic Waves and Device Applications (SPAWDA), 2012 Symposium on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4673-4814-0
DOI :
10.1109/SPAWDA.2012.6464087