Date of Award

Spring 1997

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mechanical & Aerospace Engineering

Program/Concentration

Engineering Mechanics

Committee Director

Chuh Mei

Committee Member

Thomas E. Alberts

Committee Member

Stephen A. Rizzi

Call Number for Print

Special Collections ; LD4331.E57 B48

Abstract

Piezoelectric material inherently possesses coupling between electrostatics and structural dynamics. Utilizing linear piezoelectric theory results in an intrinsically coupled pair of piezoelectric constitutive equations. One set describes the direct piezoelectric effect, where strains produce an electric field, and the other set describes the converse effect, where an applied electrical field produces strain. The purpose of this study is to compare the finite element analysis and experiments of a thin plate with bonded piezoelectric material.

Since an isotropic plate in combination with a thin piezoelectric layer constitutes a laminated composite, the classical laminate plate theory is used in the formulation to accommodate generic laminated composite panels with multiple bonded and embedded piezoelectric layers. Additionally, the von Karman large deflection plate theory is incorporated in the stress-strain relations of the laminate. The formulation results in laminate constitutive equations that are amenable to the inclusion of the piezoelectric constitutive equations, yielding a fully coupled electrical-structural composite laminate.

Using the finite element formulation, the governing differential equations of motion of a composite laminate with embedded piezoelectric layers are determined. The finite element model (FEM) not only considers structural nodal degrees of freedom (d.o.f.) but an additional electrical d.o.f. for each piezoelectric layer.

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DOI

10.25777/p145-f021

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