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Energy trapping in high-frequency vibrations of piezoelectric plates with partial mass layers under lateral electric field excitation
Authors:Liu Bo  Jiang Qing  Xie Huimin  Yang Jiashi
Institution:a Department of Mechanical Engineering, University of California, Riverside, CA 92521, USA
b Key Laboratory of Applied Mechanics, Dept. of Engineering Mechanics, Tsinghua University, Beijing 100084, China
c Department of Engineering Mechanics, University of Nebraska, Lincoln, NE 68588-0526, USA
Abstract:We study coupled face-shear (FS) and thickness-twist (TT) motions of a piezoelectric plate of monoclinic crystals with mass layers on the central parts of the plate surfaces. The plate is driven by a lateral electric field. Mindlin’s first-order theory of piezoelectric plates is used. An analytical solution is obtained. Numerical results are presented for an AT-cut quartz plate, including the motional capacitance of the plate as a resonator and the vibration modes trapped under the mass layers in the central portion of the plate. The relationship between the dimension of the mass layers and the number of trapped modes is examined.
Keywords:Piezoelectricity  Crystal  Plate  Vibration
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