Recently, some researchers have studied the frequency characteristics of a quartz crystal resonator (QCR) covered with micropillars to measure the physical and geometric parameters of the micropillars. A recent study showed that the QCR-pillars device can greatly enhance the sensitivity when compared with conventional QCR sensors. In this research, we calculate the frequency and bandwidth shift of a QCR covered with micropillars based on the transmission line model with conductance analysis and small-load approximation, respectively. Numerical results showed that the frequency and bandwidth shift of QCR changed significantly when the height of the pillar approaches the critical height, which implies the coupled resonance. Two results fit very well except for the neighborhood of resonance point where the small-load approximation does not hold. The small-load approximation is quite simple and efficient as long as the frequency shift is small. The conductance analysis is relatively complicated but can deal with any case. The outcomes of this research are helpful for micro/nanowires characterization and further improvement of QCR-pillars devices for various applications such as biochemical sensors.
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Changsha 410007,
e-mail: jemmy_1989@126.com
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August 2019
Research-Article
Electromechanical Coupling and Frequency Characteristics of a Quartz Crystal Resonator Covered With Micropillars
Xuan Xie,
Xuan Xie
1
College of Hydraulic & Environmental Engineering,
Yichang 443002,
e-mail: lifeyeart@foxmail.com
China Three Gorges University
,Yichang 443002,
China
e-mail: lifeyeart@foxmail.com
1Corresponding author.
Search for other works by this author on:
Jiemin Xie,
Changsha 410007,
e-mail: jemmy_1989@126.com
Jiemin Xie
State Grid Hunan Electric Power Test & Research Institute
,Changsha 410007,
China
e-mail: jemmy_1989@126.com
Search for other works by this author on:
Wei Luo,
Wei Luo
College of Hydraulic & Environmental Engineering,
Yichang 443002,
e-mail: wluo@lzu.edu.cn
China Three Gorges University
,Yichang 443002,
China
e-mail: wluo@lzu.edu.cn
Search for other works by this author on:
Zeyan Wu
Zeyan Wu
College of Hydraulic & Environmental Engineering,
Yichang 443002,
e-mail: wuzeyan2000@163.com
China Three Gorges University
,Yichang 443002,
China
e-mail: wuzeyan2000@163.com
Search for other works by this author on:
Xuan Xie
College of Hydraulic & Environmental Engineering,
Yichang 443002,
e-mail: lifeyeart@foxmail.com
China Three Gorges University
,Yichang 443002,
China
e-mail: lifeyeart@foxmail.com
Jiemin Xie
State Grid Hunan Electric Power Test & Research Institute
,Changsha 410007,
China
e-mail: jemmy_1989@126.com
Wei Luo
College of Hydraulic & Environmental Engineering,
Yichang 443002,
e-mail: wluo@lzu.edu.cn
China Three Gorges University
,Yichang 443002,
China
e-mail: wluo@lzu.edu.cn
Zeyan Wu
College of Hydraulic & Environmental Engineering,
Yichang 443002,
e-mail: wuzeyan2000@163.com
China Three Gorges University
,Yichang 443002,
China
e-mail: wuzeyan2000@163.com
1Corresponding author.
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the Journal of Vibration and Acoustics. Manuscript received August 9, 2018; final manuscript received February 17, 2019; published online March 5, 2019. Assoc. Editor: Slava Krylov.
J. Vib. Acoust. Aug 2019, 141(4): 044501 (4 pages)
Published Online: March 5, 2019
Article history
Received:
August 9, 2018
Revision Received:
February 17, 2019
Accepted:
February 17, 2019
Citation
Xie, X., Xie, J., Luo, W., and Wu, Z. (March 5, 2019). "Electromechanical Coupling and Frequency Characteristics of a Quartz Crystal Resonator Covered With Micropillars." ASME. J. Vib. Acoust. August 2019; 141(4): 044501. https://doi.org/10.1115/1.4042936
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