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249536

Vibration of 2D FG Higher Order Plates using Differential Integral Quadrature Method

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Last updated: 04 Jan 2025

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Abstract

This article presented a mathematical model to investigate the free vibration behavior of bi-directional (2D) functionally graded plate (FGP) using higher order shear deformation theory. The gradation of the material through the thickness and axial directions is described by power distribution function, which derived based on Voigt rule of mixture. Kinematic higher order shear theory developed by Reddy, equivalent single layer 2D constitutive equation, and Hamilton's principle are exploited to describe the strains, stress-strain relations, and equations of motions of 2D-FGP. Numerical differential integral quadrature method (DIQM) is manipulated to discretize the structure spatial domain and solve the system equations. Validation with previous work is presented. Numerical parametric studies are developed to illustrate the influence of gradation indices, slenderness ratio and aspect ratio on the natural frequencies of 2D-FG plate. The proposed model is economical in designing many applications used in nuclear, mechanical, aerospace, naval, dental, and medical fields.

DOI

10.21608/jest.2022.249536

Keywords

free vibration, Bi-directional FGM, Higher order Plate, Numerical DIQM

Authors

First Name

E. Assie

Last Name

Amr

MiddleName

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Affiliation

Mechanical Engineering Department, Faculty of Engineering, Jazan University, P. O. Box 45142, Jazan, Kingdom of Saudi Arabia, Department of Mechanical Design and Production, Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Egypt

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City

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Orcid

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First Name

Mohamed

Last Name

Salwa

MiddleName

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Affiliation

Department of Engineering Mathematics, Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Egypt

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Volume

19

Article Issue

3

Related Issue

35677

Issue Date

2022-07-01

Receive Date

2022-07-18

Publish Date

2022-07-01

Page Start

80

Page End

93

Print ISSN

2090-5882

Online ISSN

2090-5955

Article File

JEST_Volume 19_Issue 3_Pages 80-93.pdf

PDF . 552.4kB

Link

https://jest.journals.ekb.eg/article_249536.html

Detail API

https://jest.journals.ekb.eg/service?article_code=249536

Order

249,536

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Original Article

Type Code

1,211

Publication Type

Journal

Publication Title

Journal of the Egyptian Society of Tribology

Publication Link

https://jest.journals.ekb.eg/

MainTitle

Vibration of 2D FG Higher Order Plates using Differential Integral Quadrature Method

Details

Type

Article

Created At

22 Jan 2023