Thickness-Shear Vibration of a Circular Crystal Plate in a Cylindrical Shell as a Pressure Sensor

HU Yuan-tai; CUI Zhi-jian; JIANG Shu-nong; YANG Jia-shi

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(6): 663-668

HU Yuan-tai, CUI Zhi-jian, JIANG Shu-nong, YANG Jia-shi. Thickness-Shear Vibration of a Circular Crystal Plate in a Cylindrical Shell as a Pressure Sensor[J]. Applied Mathematics and Mechanics, 2006, 27(6): 663-668.

Citation:

PDF( 266 KB)

Thickness-Shear Vibration of a Circular Crystal Plate in a Cylindrical Shell as a Pressure Sensor

1.
Institute of Mechanics and Sensing Technology, School of Civil Engineering and Architecture, Central South University, Changsha 410083, P. R. Chian;

Received Date: 2005-06-13
Rev Recd Date: 2006-02-18
Publish Date: 2006-06-15

Abstract

Abstract

Based on the theory for small fields superposed on relatively larger fields in an electroelastic body,a theoretical analysis was performed on a circular plate thickness-shear crystal resonator sealed in a circular cylindrical shell for pressure measurement.A simple expression is obtained for pressure induced frequency shifts in the resonator,which is examined for design optimization.Numerical results show that the frequency shifts depend linearly on the pressure,and that a pressure sensor with a softer outer shell or a smaller thickness ratio of the crystal plate to the outer shell has higher sensitivity.
- pressure sensor,
- resonator,
- biasing field,
- incremental field,
- frequency shift

FullText(HTML)

References(13)

References

[1]	Baumhauer J C, Tiersten H F. Nonlinear electroelastic equations for small fields superposed on a bias[J].J Acoust Soc Amer,1973,54(4):1017—1034. doi: 10.1121/1.1914312
[2]	Tiersten H F.On the accurate description of piezoelectric resonators subject to biasing deformations[J].Internat J Engng Sci,1995,33(15):2239—2259. doi: 10.1016/0020-7225(95)00069-A
[3]	Tiersten H F.Nonlinear electroelastic equations cubic in the small field variables[J].J Acoust Soc Amer,1975,57(3):660—666. doi: 10.1121/1.380490
[4]	Besson R J,Boy J J,Glotin B,et al.A dual-mode thickness-shear quartz pressure sensor[J].IEEE Trans Ultrasonics, Ferroelectrics, and Frequency Control,1993,40(4):584—591. doi: 10.1109/58.238112
[5]	EerNisse E P,Wiggins R B.Review of thickness-shear mode quartz resonator sensors for temperature and pressure[J].IEEE Sensors Journal,2001,1(1):79—87. doi: 10.1109/JSEN.2001.923590
[6]	EerNisse E P.Quartz resonators vs their environment: time base or sensor?[J].J Appl Phys,2001,40(5):3479—3483. doi: 10.1143/JJAP.40.3479
[7]	YANG Jia-shi,HU Yuan-tai.Mechanics of electroelastic bodies under biasing fields[J].Applied Mechanics Reviews,2004,57(3):173—189. doi: 10.1115/1.1689411
[8]	Tiersten H F,Zhou Y S.An analysis of transversely varying thickness modes in quartz resonators with bevelled cylindrical edges[A].In:IEEE,Ed.Proc 1993 IEEE Internat Frequency Control Symp[C].Piscataway,NJ:IEEE Press,1993,431—441.
[9]	Tiersten H F. Perturbation theory for linear electroelastic equations for small fields superposed on a bias[J].J Acoust Soc Amer,1978,64(3):832—837. doi: 10.1121/1.382031
[10]	YANG Jia-shi.An Introduction to the Theory of Piezoelectricity[M].New York:Springer,2005,287—297.
[11]	HU Yuan-tai,YANG Jia-shi,JIANG Qing.A model for electroelastic plates under biasing fields with applications in buckling analysis[J].Internat J Sol Struct,2002,39(9):2629—2642. doi: 10.1016/S0020-7683(02)00122-1
[12]	HU Yuan-tai,YANG Jia-shi,JIANG Qing. Surface waves in electroelastic materials under biasing fields[J].Z Anger Math Phys,2004,55(4):678—700.
[13]	HU Yuan-tai,YANG Jia-shi,JIANG Qing.On modeling of extension and flexure response of electro~elastic shells under biasing fields[J].Acta Mechanica,2002,156(3/4):163—178. doi: 10.1007/BF01176754