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21879

Modeling and Forced Vibration of Smart Piezoelectric Beams Using Simple Higher Order Shear Deformation Theory

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Last updated: 04 Jan 2025

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Abstract

In the current work, a finite element formulation is developed for modeling and forced vibration of isotropic as well as orthotropic composite beams with distributed piezoelectric actuators subjected to both mechanical and electrical loads. The proposed model is developed based on a simple higher order shear deformation theory where the displacements field equations in the model accounts for a parabolic distribution of the shear strain and the non-linearity of in-plane displacements across the thickness and subsequences the shear correction factor is not involved. The virtual displacement method is used to formulate the equations of motion of the structure system. The model is valid for both segmented and continuous piezoelectric elements which can be either surface bonded or embedded in the laminated beams. A two-node element with four mechanical degrees of freedom in addition to one electrical degree of freedom for each node is used in the finite element formulation. The electric potential is considered as function of the thickness and the length of the beam element. The steady state responses for damped and undamprd beams are formulated. A MATLAB code is developed to compute the static deformation, free vibration parameters, and the beams responses due to harmonic excitation of mechanical and electrical loads. The predictions from the proposed model are in good shape.

DOI

10.21608/asat.2013.21879

Keywords

Finite Element, piezoelectric materials, higher order deformation theory, composite material mechanics, forced vibration

Authors

First Name

M.

Last Name

Elshafei

MiddleName

A.

Affiliation

Egyptian Armed Forces, Egypt.

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First Name

F.

Last Name

Alraiess

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Affiliation

Libyan Armed Forces, Libya.

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Volume

15

Article Issue

AEROSPACE SCIENCES & AVIATION TECHNOLOGY, ASAT - 15 – May 28 - 30, 2013

Related Issue

4183

Issue Date

2013-05-01

Receive Date

2018-12-13

Publish Date

2013-05-01

Page Start

1

Page End

14

Print ISSN

2090-0678

Online ISSN

2636-364X

Link

https://asat.journals.ekb.eg/article_21879.html

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https://asat.journals.ekb.eg/service?article_code=21879

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3

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Original Article

Type Code

737

Publication Type

Journal

Publication Title

International Conference on Aerospace Sciences and Aviation Technology

Publication Link

https://asat.journals.ekb.eg/

MainTitle

Modeling and Forced Vibration of Smart Piezoelectric Beams Using Simple Higher Order Shear Deformation Theory

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Article

Created At

22 Jan 2023