Investigating parametric homogenization models for natural frequency of FGM nano beams
This research focuses on exploring the free vibration behavior of functionally graded (FG) nano-beams. To calculate the effective properties of the FG nano-beam, which varies solely in the thickness direction, the four homogenization schemes Mori-Tanaka, Tamura, Reuss and Voigt are employed. This st...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-10-01
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| Series: | AIMS Materials Science |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/matersci.2023048?viewType=HTML |
| _version_ | 1797366775131668480 |
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| author | Abdelhak Berkia Billel Rebai Bilal Litouche Soufiane Abbas Khelifa Mansouri |
| author_facet | Abdelhak Berkia Billel Rebai Bilal Litouche Soufiane Abbas Khelifa Mansouri |
| author_sort | Abdelhak Berkia |
| collection | DOAJ |
| description | This research focuses on exploring the free vibration behavior of functionally graded (FG) nano-beams. To calculate the effective properties of the FG nano-beam, which varies solely in the thickness direction, the four homogenization schemes Mori-Tanaka, Tamura, Reuss and Voigt are employed. This study employs high-order shear deformation nano-beam theory and derives the governing equations of motion using nonlocal differential constitutive relations of Eringen. Hamilton's principle is utilized in conjunction with the refined three variables beam theory. The consideration of a length scale parameter accounts for small-scale effects. Analytical solutions are obtained for a simply supported FG nano-beam and compared with existing literature solutions. The research also investigates the influence of different homogenization schemes, the nonlocal parameter, beam aspect ratio and various material compositions on the dynamic response of the FG nano-beam. |
| first_indexed | 2024-03-08T17:08:31Z |
| format | Article |
| id | doaj.art-1138affc03ce47b4950696a33a55040a |
| institution | Directory Open Access Journal |
| issn | 2372-0484 |
| language | English |
| last_indexed | 2024-03-08T17:08:31Z |
| publishDate | 2023-10-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Materials Science |
| spelling | doaj.art-1138affc03ce47b4950696a33a55040a2024-01-04T01:50:42ZengAIMS PressAIMS Materials Science2372-04842023-10-0110589190810.3934/matersci.2023048Investigating parametric homogenization models for natural frequency of FGM nano beamsAbdelhak Berkia0Billel Rebai1Bilal Litouche 2Soufiane Abbas3Khelifa Mansouri41. Faculty of Sciences & Technology, Mechanical Eng Department, University Abbes Laghrour Khenchela, Algeria2. Faculty of Sciences & Technology, Civil Eng Department, University Abbes Laghrour Khenchela, Algeria3. Mechanic and Electro-Mechanic Department, University Center Abdelhafid Boussouf, Mila, Algeria4. LMRS Laboratory, Faculty of Technology, University of Sidi Bel Abbes, Algeria1. Faculty of Sciences & Technology, Mechanical Eng Department, University Abbes Laghrour Khenchela, Algeria5. Laboratory of Eng and Sciences of Advanced Materials (ISMA), Khenchela, AlgeriaThis research focuses on exploring the free vibration behavior of functionally graded (FG) nano-beams. To calculate the effective properties of the FG nano-beam, which varies solely in the thickness direction, the four homogenization schemes Mori-Tanaka, Tamura, Reuss and Voigt are employed. This study employs high-order shear deformation nano-beam theory and derives the governing equations of motion using nonlocal differential constitutive relations of Eringen. Hamilton's principle is utilized in conjunction with the refined three variables beam theory. The consideration of a length scale parameter accounts for small-scale effects. Analytical solutions are obtained for a simply supported FG nano-beam and compared with existing literature solutions. The research also investigates the influence of different homogenization schemes, the nonlocal parameter, beam aspect ratio and various material compositions on the dynamic response of the FG nano-beam.https://www.aimspress.com/article/doi/10.3934/matersci.2023048?viewType=HTMLhamilton's principlelength scale parametereringen theoryfree vibrationhomogenization modelsnano-beams |
| spellingShingle | Abdelhak Berkia Billel Rebai Bilal Litouche Soufiane Abbas Khelifa Mansouri Investigating parametric homogenization models for natural frequency of FGM nano beams AIMS Materials Science hamilton's principle length scale parameter eringen theory free vibration homogenization models nano-beams |
| title | Investigating parametric homogenization models for natural frequency of FGM nano beams |
| title_full | Investigating parametric homogenization models for natural frequency of FGM nano beams |
| title_fullStr | Investigating parametric homogenization models for natural frequency of FGM nano beams |
| title_full_unstemmed | Investigating parametric homogenization models for natural frequency of FGM nano beams |
| title_short | Investigating parametric homogenization models for natural frequency of FGM nano beams |
| title_sort | investigating parametric homogenization models for natural frequency of fgm nano beams |
| topic | hamilton's principle length scale parameter eringen theory free vibration homogenization models nano-beams |
| url | https://www.aimspress.com/article/doi/10.3934/matersci.2023048?viewType=HTML |
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