Waves and Vibrations in Electroplated Piezoelectric Plates and Substrate Systems

Abstract

In the present research, a new, infinite system of plate equations is obtained. They are applicable to piezoelectric plates of any crystal symmetry and requiring no correction factors. Firstly, a system of first-order plate equations is extracted from the infinite system, and they are employed to study the thickness shear and flexure vibrations of rectangular plates of AT- and SC-cuts of quartz and are shown to give accurate predictions in dispersion relations, frequency spectra, and capacitances without any corrections. Secondly, a system of second-order plate equations is extracted from the infinite system by a new truncation procedure, and these equations are employed to study the thickness-stretch, symmetric thickness-shear, and extensional vibrations of finite strips and circular disks of ceramics. The accuracy of the prediction is validated by the close comparison with experimental data, without any correction.

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Document Details

Document Type
Technical Report
Publication Date
Feb 09, 2001
Accession Number
ADA388439

Entities

People

  • Peter C. Lee

Organizations

  • Princeton University

Tags

Communities of Interest

  • Sensors

DTIC Thesaurus Topics

  • Accuracy
  • Barium Titanates
  • Dispersion Relations
  • Dispersions
  • Environmental Engineering
  • Equations
  • Experimental Data
  • Frequency
  • Piezoelectric Crystals
  • Spectra
  • Symmetry
  • Thickness
  • Three Dimensional
  • Truncation
  • Two Dimensional
  • Vibration
  • Waves

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.