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Vibrations and static responses of asymmetric bimorph disks of piezoelectric ceramics
Journal article

Vibrations and static responses of asymmetric bimorph disks of piezoelectric ceramics

P.C.Y Lee, Rui Rui Huang, Xiaoping Xiaoping Li and Wei-Heng Wei-Heng Shih
IEEE transactions on ultrasonics, ferroelectrics, and frequency control, v 47(3), pp 706-715
May 2000
PMID: 18238600

Abstract

Surface impedance Difference equations Resonant frequency Voltage Closed-form solution Resonance Ceramics Bonding Piezoelectric polarization Material properties
In an earlier article, the flexural vibrations in bimorph disks and extensional vibrations in homogeneous disks of piezoelectric ceramics were studied. In the present paper, the coupled flexural and extensional vibrations and static responses in an asymmetric bimorph disk, which is formed by bonding together two piezoelectric ceramic disks of unequal thickness and opposite polarization, are investigated. Governing equations of coupled motions for asymmetric bimorphs are deduced from the recently derived 2-D, first-order equations for piezoelectric crystal plates with thickness-graded material properties. Then, closed form solutions of these equations for circular disks are obtained for free vibrations, piezoelectrically forced vibrations, and responses under static voltage difference. Resonance frequencies, distribution of displacements and surface charges, impedances, and static responses are calculated for asymmetric bimorph disks of various thickness ratios and diameter-to-thickness ratios. Experimental data on resonances and impedances are obtained for asymmetric bimorph disks of PZT-857 for different thickness ratios. Comparisons of predicted and measured results show that the agreements are close.

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Collaboration types
Domestic collaboration
Web of Science research areas
Acoustics
Engineering, Electrical & Electronic
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