An Investigation into the Free Vibration of Intact and Cracked FGM Plates

Mohamed B.  Shehab; Moustafa S.  Taima; Hussein  Sayed; Tamer Elsayed

doi:10.1007/s11668-023-01744-2

An Investigation into the Free Vibration of Intact and Cracked FGM Plates

Mohamed B. Shehab, Moustafa S. Taima, Hussein Sayed, Tamer Elsayed^* (Corresponding Author)

^*Corresponding author for this work

Helwan University

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

Abstract

In this study, the linear free vibration of intact and cracked functionally graded material plates is investigated numerically and experimentally. The experimental work is limited to the isotropic materials. The numerical work is based on finite element, where a code is developed to obtain the natural frequencies of intact plates based on the first-order shear deformation theory (FSDT) using MATLAB software. Also, a model of through-cracked FGM plate is developed using ANSYS Workbench with the help of APDL coding. The material properties of the plates under study are graded in one, two, and three directions. The novelty of this study emerges through its examination of the synergistic impacts resulting from variations in FGM material properties, crack length, crack orientation, and crack location. These effects are comprehensively discussed in the results section. The result of the present model shows that the use of three-directional FGM reduces the natural frequency compared with the other cases of two-directional and unidirectional FGM. Also, the results show that the effect of FGM gradient on the frequency of intact and cracked plate is high when the gradient index n< 3. The present paper results are useful for the design of FGM plates especially when cracks exist.

Original language	English
Pages (from-to)	2142-2168
Number of pages	27
Journal	Journal of Failure Analysis and Prevention
Volume	23
Early online date	15 Sept 2023
DOIs	https://doi.org/10.1007/s11668-023-01744-2
Publication status	Published - Oct 2023

Data Availability Statement

The raw/processed data required to reproduce these findings cannot be shared at this time as the data also form part of an ongoing study.

Keywords

ANSYS
Experimental analysis
FGM
FSDT
Finite element
Free vibration
Plates
Through cracks

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Cite this

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title = "An Investigation into the Free Vibration of Intact and Cracked FGM Plates",

abstract = "In this study, the linear free vibration of intact and cracked functionally graded material plates is investigated numerically and experimentally. The experimental work is limited to the isotropic materials. The numerical work is based on finite element, where a code is developed to obtain the natural frequencies of intact plates based on the first-order shear deformation theory (FSDT) using MATLAB software. Also, a model of through-cracked FGM plate is developed using ANSYS Workbench with the help of APDL coding. The material properties of the plates under study are graded in one, two, and three directions. The novelty of this study emerges through its examination of the synergistic impacts resulting from variations in FGM material properties, crack length, crack orientation, and crack location. These effects are comprehensively discussed in the results section. The result of the present model shows that the use of three-directional FGM reduces the natural frequency compared with the other cases of two-directional and unidirectional FGM. Also, the results show that the effect of FGM gradient on the frequency of intact and cracked plate is high when the gradient index n< 3. The present paper results are useful for the design of FGM plates especially when cracks exist.",

keywords = "ANSYS, Experimental analysis, FGM, FSDT, Finite element, Free vibration, Plates, Through cracks",

author = "Shehab, {Mohamed B.} and Taima, {Moustafa S.} and Hussein Sayed and Tamer Elsayed",

year = "2023",

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doi = "10.1007/s11668-023-01744-2",

language = "English",

volume = "23",

pages = "2142--2168",

journal = "Journal of Failure Analysis and Prevention",

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AU - Sayed, Hussein

AU - Elsayed, Tamer

PY - 2023/10

Y1 - 2023/10

N2 - In this study, the linear free vibration of intact and cracked functionally graded material plates is investigated numerically and experimentally. The experimental work is limited to the isotropic materials. The numerical work is based on finite element, where a code is developed to obtain the natural frequencies of intact plates based on the first-order shear deformation theory (FSDT) using MATLAB software. Also, a model of through-cracked FGM plate is developed using ANSYS Workbench with the help of APDL coding. The material properties of the plates under study are graded in one, two, and three directions. The novelty of this study emerges through its examination of the synergistic impacts resulting from variations in FGM material properties, crack length, crack orientation, and crack location. These effects are comprehensively discussed in the results section. The result of the present model shows that the use of three-directional FGM reduces the natural frequency compared with the other cases of two-directional and unidirectional FGM. Also, the results show that the effect of FGM gradient on the frequency of intact and cracked plate is high when the gradient index n< 3. The present paper results are useful for the design of FGM plates especially when cracks exist.

AB - In this study, the linear free vibration of intact and cracked functionally graded material plates is investigated numerically and experimentally. The experimental work is limited to the isotropic materials. The numerical work is based on finite element, where a code is developed to obtain the natural frequencies of intact plates based on the first-order shear deformation theory (FSDT) using MATLAB software. Also, a model of through-cracked FGM plate is developed using ANSYS Workbench with the help of APDL coding. The material properties of the plates under study are graded in one, two, and three directions. The novelty of this study emerges through its examination of the synergistic impacts resulting from variations in FGM material properties, crack length, crack orientation, and crack location. These effects are comprehensively discussed in the results section. The result of the present model shows that the use of three-directional FGM reduces the natural frequency compared with the other cases of two-directional and unidirectional FGM. Also, the results show that the effect of FGM gradient on the frequency of intact and cracked plate is high when the gradient index n< 3. The present paper results are useful for the design of FGM plates especially when cracks exist.

KW - ANSYS

KW - Experimental analysis

KW - FGM

KW - FSDT

KW - Finite element

KW - Free vibration

KW - Plates

KW - Through cracks

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EP - 2168

JO - Journal of Failure Analysis and Prevention

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ER -

An Investigation into the Free Vibration of Intact and Cracked FGM Plates

Abstract

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Keywords

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