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23404

Finite Element Modeling of Smart Timoshenko Beams with Piezoelectric Materials

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Last updated: 04 Jan 2025

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Abstract

In the present work, a finite element model has been proposed to describe the response of isotropic and anisotropic smart beams with piezoelectric materials subjected to different mechanical loads as well as electrical load. The assumed field displacements of the beam are represented by First-order Shear Deformation Theory (FSDT), the Timoshenko beam theory. The equation of motion of the smart beam system is derived using the principle of virtual displacements. A hermit cubic shape function is used to represent the axial displacement u, the transverse displacement is represented by a quadratic shape function, and the normal rotation is represented by a linear shape function and the electric potential at each node. The shear correction factor is used to improve the obtained results. A MATLAB code is developed to compute the natural frequency and the static deformations of the structure system due to the applied mechanical and electrical loads at different boundary conditions. The obtained results obtained of the developed are compared to the available results of other investigators, good agreement is generally obtained.

DOI

10.21608/asat.2011.23404

Keywords

Finite Element, piezoelectric materials, Timoshenko beam theory, composite materials structure, smart structure system-solid mechanics

Authors

First Name

M.

Last Name

Elshafei

MiddleName

A.

Affiliation

Egyptian Armed Forces, Egypt.

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Orcid

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First Name

M.

Last Name

Ajala

MiddleName

R.

Affiliation

Egyptian Armed Forces, Egypt.

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Orcid

-

First Name

A.

Last Name

Riad

MiddleName

M.

Affiliation

Egyptian Armed Forces, Egypt.

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Volume

14

Article Issue

AEROSPACE SCIENCES & AVIATION TECHNOLOGY, ASAT - 14 – May 24 - 26, 2011

Related Issue

4330

Issue Date

2011-05-01

Receive Date

2019-01-02

Publish Date

2011-05-01

Page Start

1

Page End

28

Print ISSN

2090-0678

Online ISSN

2636-364X

Link

https://asat.journals.ekb.eg/article_23404.html

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https://asat.journals.ekb.eg/service?article_code=23404

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90

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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

Finite Element Modeling of Smart Timoshenko Beams with Piezoelectric Materials

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Article

Created At

22 Jan 2023