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

doi:10.1109/TUFFC.2003.1214496

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

Mechanical & Materials Engineering

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

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 language	English (US)
Pages (from-to)	765-772
Number of pages	8
Journal	IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
Volume	50
Issue number	7
DOIs	https://doi.org/10.1109/TUFFC.2003.1214496
State	Published - Jul 2003

ASJC Scopus subject areas

Instrumentation
Acoustics and Ultrasonics
Electrical and Electronic Engineering

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10.1109/TUFFC.2003.1214496

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title = "Two-Dimensional Equations for Electroelastic Plates with Relatively Large Shear Deformations",

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.",

author = "Yang, {Jiashi S.} and Xiaomeng Yang and Turner, {Joseph A.} and Kosinski, {John A.} and Pastore, {Robert A.}",

note = "Funding Information: Manuscript received July 15, 2002; accepted February 24, 2003. This work was supported by the Army Research Office under DAAD19-01-1-0443, and a Layman Grant from the University of Nebraska-Lincoln.",

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T1 - Two-Dimensional Equations for Electroelastic Plates with Relatively Large Shear Deformations

AU - Yang, Jiashi S.

AU - Yang, Xiaomeng

AU - Turner, Joseph A.

AU - Kosinski, John A.

AU - Pastore, Robert A.

N1 - Funding Information: Manuscript received July 15, 2002; accepted February 24, 2003. This work was supported by the Army Research Office under DAAD19-01-1-0443, and a Layman Grant from the University of Nebraska-Lincoln.

PY - 2003/7

Y1 - 2003/7

N2 - 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.

AB - 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.

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

Abstract

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