Free Vibration Analysis of 2D Functionally Graded Strip Beam using Finite Element Method
This article aims to investigate the free vibration of axial and bi-directional functionally graded (2D-FG) two-dimensional plane stress strip by using finite element method. The rule of mixture based on Vogit model is proposed to describe the change in the volume fractions of metal and ceramics con...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Shahid Chamran University of Ahvaz
2022-10-01
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| Series: | Journal of Applied and Computational Mechanics |
| Subjects: | |
| Online Access: | https://jacm.scu.ac.ir/article_17552_625f61c18631c024254abb387141c593.pdf |
| _version_ | 1818172157792878592 |
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| author | Meshal A. Al-Zahrani Saeed A. Asiri Khaled I. Ahmed Mohamed A. Eltaher |
| author_facet | Meshal A. Al-Zahrani Saeed A. Asiri Khaled I. Ahmed Mohamed A. Eltaher |
| author_sort | Meshal A. Al-Zahrani |
| collection | DOAJ |
| description | This article aims to investigate the free vibration of axial and bi-directional functionally graded (2D-FG) two-dimensional plane stress strip by using finite element method. The rule of mixture based on Vogit model is proposed to describe the change in the volume fractions of metal and ceramics constituents. The materials are graded continuously and smoothly in both axial and thickness directions according to the power law formula. Two-dimensional plane stress constitutive equations are proposed to describe the stress and strain across the beam domain. Finite element model using ANSYS software is developed to discretize the spatial domain of strip and modal solution is exploited to evaluate the eigenvalues (natural frequencies) and mode shapes of 2D FG strip beam. The effects of materials gradation in axial and bi-directional and boundary conditions on the natural frequencies are investigated. The proposed model can be used in design and analysis of 2D-FG structures manufactured from two different constituents and selecting the optimum gradation parameter based on the natural frequency’s constraints, such as naval, nuclear and aerospace structures. |
| first_indexed | 2024-12-11T19:08:09Z |
| format | Article |
| id | doaj.art-b7b95fd830d04a22ae881208a49c79c4 |
| institution | Directory Open Access Journal |
| issn | 2383-4536 |
| language | English |
| last_indexed | 2024-12-11T19:08:09Z |
| publishDate | 2022-10-01 |
| publisher | Shahid Chamran University of Ahvaz |
| record_format | Article |
| series | Journal of Applied and Computational Mechanics |
| spelling | doaj.art-b7b95fd830d04a22ae881208a49c79c42022-12-22T00:53:51ZengShahid Chamran University of AhvazJournal of Applied and Computational Mechanics2383-45362022-10-01841422143010.22055/jacm.2022.40253.357617552Free Vibration Analysis of 2D Functionally Graded Strip Beam using Finite Element MethodMeshal A. Al-Zahrani0Saeed A. Asiri1Khaled I. Ahmed2Mohamed A. Eltaher3Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi ArabiaMechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi ArabiaMechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi ArabiaMechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi ArabiaThis article aims to investigate the free vibration of axial and bi-directional functionally graded (2D-FG) two-dimensional plane stress strip by using finite element method. The rule of mixture based on Vogit model is proposed to describe the change in the volume fractions of metal and ceramics constituents. The materials are graded continuously and smoothly in both axial and thickness directions according to the power law formula. Two-dimensional plane stress constitutive equations are proposed to describe the stress and strain across the beam domain. Finite element model using ANSYS software is developed to discretize the spatial domain of strip and modal solution is exploited to evaluate the eigenvalues (natural frequencies) and mode shapes of 2D FG strip beam. The effects of materials gradation in axial and bi-directional and boundary conditions on the natural frequencies are investigated. The proposed model can be used in design and analysis of 2D-FG structures manufactured from two different constituents and selecting the optimum gradation parameter based on the natural frequency’s constraints, such as naval, nuclear and aerospace structures.https://jacm.scu.ac.ir/article_17552_625f61c18631c024254abb387141c593.pdffunctionally graded stripplane stress problemfree vibration analysisaxial gradient2d gradientfinite element analysis |
| spellingShingle | Meshal A. Al-Zahrani Saeed A. Asiri Khaled I. Ahmed Mohamed A. Eltaher Free Vibration Analysis of 2D Functionally Graded Strip Beam using Finite Element Method Journal of Applied and Computational Mechanics functionally graded strip plane stress problem free vibration analysis axial gradient 2d gradient finite element analysis |
| title | Free Vibration Analysis of 2D Functionally Graded Strip Beam using Finite Element Method |
| title_full | Free Vibration Analysis of 2D Functionally Graded Strip Beam using Finite Element Method |
| title_fullStr | Free Vibration Analysis of 2D Functionally Graded Strip Beam using Finite Element Method |
| title_full_unstemmed | Free Vibration Analysis of 2D Functionally Graded Strip Beam using Finite Element Method |
| title_short | Free Vibration Analysis of 2D Functionally Graded Strip Beam using Finite Element Method |
| title_sort | free vibration analysis of 2d functionally graded strip beam using finite element method |
| topic | functionally graded strip plane stress problem free vibration analysis axial gradient 2d gradient finite element analysis |
| url | https://jacm.scu.ac.ir/article_17552_625f61c18631c024254abb387141c593.pdf |
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