Free vibration of bi-directional functionally graded sandwich plates using layerwise finite element approach
In this paper, layerwise finite element analysis for the free vibration behavior of two-dimensional functionally graded sandwich plates with different boundary conditions is presented. The plates consist of three layers; a functionally graded layer embedded between ceramic and metal isotropic layers...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Ayandegan Institute of Higher Education, Iran
2021-12-01
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| Series: | Journal of Applied Research on Industrial Engineering |
| Subjects: | |
| Online Access: | http://www.journal-aprie.com/article_138377_560a79bcfb726a20030f92e97232293e.pdf |
| _version_ | 1811330309337120768 |
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| author | Laith Mazahreh Ibrahim M. Abu-Alshaikh |
| author_facet | Laith Mazahreh Ibrahim M. Abu-Alshaikh |
| author_sort | Laith Mazahreh |
| collection | DOAJ |
| description | In this paper, layerwise finite element analysis for the free vibration behavior of two-dimensional functionally graded sandwich plates with different boundary conditions is presented. The plates consist of three layers; a functionally graded layer embedded between ceramic and metal isotropic layers. The layerwise approach is based on the third order shear deformation theory for the middle layer, while the first order shear deformation theory is used to model both the upper and lower isotropic layers. Quadrilateral 8-noded element with 13-degrees of freedom per node is used for this purpose. The present results show very good agreements with the published analytical results of plates consist of a single functionally graded layer. Furthermore, for sandwich plates good agreements were obtained when the present results are compared with similar problems solved by other methods in literature. Parametric studies were investigated for various plate parameters including applied boundary conditions, volume fraction exponents and plate side to thickness ratio. |
| first_indexed | 2024-04-13T15:59:06Z |
| format | Article |
| id | doaj.art-00667691148c43688650d8b70dc098bb |
| institution | Directory Open Access Journal |
| issn | 2538-5100 2676-6167 |
| language | English |
| last_indexed | 2024-04-13T15:59:06Z |
| publishDate | 2021-12-01 |
| publisher | Ayandegan Institute of Higher Education, Iran |
| record_format | Article |
| series | Journal of Applied Research on Industrial Engineering |
| spelling | doaj.art-00667691148c43688650d8b70dc098bb2022-12-22T02:40:35ZengAyandegan Institute of Higher Education, IranJournal of Applied Research on Industrial Engineering2538-51002676-61672021-12-018432334010.22105/jarie.2021.296070.1358138377Free vibration of bi-directional functionally graded sandwich plates using layerwise finite element approachLaith Mazahreh0Ibrahim M. Abu-Alshaikh1Oil and Natural Gas Directorate, Ministry of Energy and Mineral Resources, Amman, Jordan. Department of Mechanical Engineering, Faculty of Engineering, University of Jordan, Jordan.Department of Mechanical Engineering, Faculty of Engineering, University of Jordan, Jordan.In this paper, layerwise finite element analysis for the free vibration behavior of two-dimensional functionally graded sandwich plates with different boundary conditions is presented. The plates consist of three layers; a functionally graded layer embedded between ceramic and metal isotropic layers. The layerwise approach is based on the third order shear deformation theory for the middle layer, while the first order shear deformation theory is used to model both the upper and lower isotropic layers. Quadrilateral 8-noded element with 13-degrees of freedom per node is used for this purpose. The present results show very good agreements with the published analytical results of plates consist of a single functionally graded layer. Furthermore, for sandwich plates good agreements were obtained when the present results are compared with similar problems solved by other methods in literature. Parametric studies were investigated for various plate parameters including applied boundary conditions, volume fraction exponents and plate side to thickness ratio.http://www.journal-aprie.com/article_138377_560a79bcfb726a20030f92e97232293e.pdffgmmode shapenatural frequencyceramicmetalquadrilateral element |
| spellingShingle | Laith Mazahreh Ibrahim M. Abu-Alshaikh Free vibration of bi-directional functionally graded sandwich plates using layerwise finite element approach Journal of Applied Research on Industrial Engineering fgm mode shape natural frequency ceramic metal quadrilateral element |
| title | Free vibration of bi-directional functionally graded sandwich plates using layerwise finite element approach |
| title_full | Free vibration of bi-directional functionally graded sandwich plates using layerwise finite element approach |
| title_fullStr | Free vibration of bi-directional functionally graded sandwich plates using layerwise finite element approach |
| title_full_unstemmed | Free vibration of bi-directional functionally graded sandwich plates using layerwise finite element approach |
| title_short | Free vibration of bi-directional functionally graded sandwich plates using layerwise finite element approach |
| title_sort | free vibration of bi directional functionally graded sandwich plates using layerwise finite element approach |
| topic | fgm mode shape natural frequency ceramic metal quadrilateral element |
| url | http://www.journal-aprie.com/article_138377_560a79bcfb726a20030f92e97232293e.pdf |
| work_keys_str_mv | AT laithmazahreh freevibrationofbidirectionalfunctionallygradedsandwichplatesusinglayerwisefiniteelementapproach AT ibrahimmabualshaikh freevibrationofbidirectionalfunctionallygradedsandwichplatesusinglayerwisefiniteelementapproach |