Two-Dimensional Equations for Electroelastic Plates with Relatively Large Shear Deformations

Jiashi S. Yang, Xiaomeng Yang, Joseph A Turner, John A. Kosinski, Robert A. Pastore

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

A set of two-dimensional, nonlinear equations for electroelastic plates in moderately large thickness-shear deformations is obtained from the variational formulation of the three-dimensional equations of nonlinear electroelasticity by expanding the mechanical displacement vector and the electric potential into power series in the plate thickness coordinate. As an example, the equations are used to study nonlinear thickness-shear vibrations of a quartz plate driven by an electrical voltage. Nonlinear electrical current amplitude-frequency behavior near resonance is obtained. The equations and results are useful in the study and design of piezoelectric crystal resonators and the measurement of nonlinear material constants of electroelastic materials.

Original languageEnglish (US)
Pages (from-to)765-772
Number of pages8
JournalIEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
Volume50
Issue number7
DOIs
StatePublished - Jul 1 2003

Fingerprint

Shear deformation
Crystal resonators
shear
Electric potential
Nonlinear equations
Quartz
piezoelectric crystals
power series
electric potential
nonlinear equations
quartz
resonators
formulations
vibration

ASJC Scopus subject areas

  • Instrumentation
  • Acoustics and Ultrasonics
  • Electrical and Electronic Engineering

Cite this

Two-Dimensional Equations for Electroelastic Plates with Relatively Large Shear Deformations. / Yang, Jiashi S.; Yang, Xiaomeng; Turner, Joseph A; Kosinski, John A.; Pastore, Robert A.

In: IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, Vol. 50, No. 7, 01.07.2003, p. 765-772.

Research output: Contribution to journalArticle

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