Frequency shifts in a quartz plate piezoelectric resonator in contact with a viscous fluid under a separated electrode

Article type: Research Article

Authors: Liu, Bo^a | Jiang, Qing^a | Yang, Jiashi^{b; *}

Affiliations: [a] Department of Mechanical Engineering, University of California, Riverside, CA, USA | [b] Department of Engineering Mechanics, University of Nebraska, Lincoln, NE, USA

Correspondence: [*] Corresponding author. E-mail: [email protected]

Abstract: We study thickness-shear vibration of a rotated Y-cut quartz crystal plate whose one surface is in contact with a viscous fluid layer of finite thickness. The fluid is under an electrode separated from the crystal plate and the driving electric field is in the plate thickness direction. The theory of piezoelectricity and the theory of Newtonian fluids are used. Both free and forced vibration solutions are obtained. An approximate expression for the frequency shifts in the crystal plate due to the fluid is presented. The admittance of the structure is also calculated. The results are useful for acoustic wave fluid sensors.

DOI: 10.3233/JAE-2011-1330

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 35, no. 3, pp. 177-187, 2011