Static Buckling and Free Vibration Analysis of Bi-Dimensional FG Metal Ceramic Porous Beam
This study presents an analytical solution for static buckling and free vibration analysis of bi-dimensional functionally graded (2D-FG) metal-ceramic porous beams. To achieve this goal, equations of motion for the beam are derived by using Hamilton's principle and then the derived equations we...
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| Format: | Article |
| Language: | English |
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Semnan University
2024-04-01
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| Series: | Mechanics of Advanced Composite Structures |
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| Online Access: | https://macs.semnan.ac.ir/article_8140_90d0999b24da43c83e8b5bf6c07289b0.pdf |
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| author | Yasin Shabani Pejman Mehdianfar Korosh Khorshidi |
| author_facet | Yasin Shabani Pejman Mehdianfar Korosh Khorshidi |
| author_sort | Yasin Shabani |
| collection | DOAJ |
| description | This study presents an analytical solution for static buckling and free vibration analysis of bi-dimensional functionally graded (2D-FG) metal-ceramic porous beams. To achieve this goal, equations of motion for the beam are derived by using Hamilton's principle and then the derived equations were solved in the framework of Galerkin’s well-known analytical method for solution of equations. The material properties of the beam are variable along with thickness and length according to the power-law function. During the fabrication of functionally graded materials (FGMs), porosities may occur due to technical problems causing micro-voids to appear. Detailed mathematical derivations are presented and numerical investigations are performed, while emphasis is placed on investigating the effect of various parameters such as FG power indexes along both directions of thickness and length, porosity, and slenderness ratios (L/h), on the non-dimensional frequency and static buckling of the beam based on new higher deformation beam theory. The accuracy of the proposed model is validated based on comparisons of the results with the accepted studies. According to the result in both buckling and vibration analysis, the presented modified transverse shear stress along the thickness has shown closer consequences in comparison with TBT. |
| format | Article |
| id | doaj-art-521780e311d34fa88b82ec4d702ea962 |
| institution | DOAJ |
| issn | 2423-4826 2423-7043 |
| language | English |
| publishDate | 2024-04-01 |
| publisher | Semnan University |
| record_format | Article |
| series | Mechanics of Advanced Composite Structures |
| spelling | doaj-art-521780e311d34fa88b82ec4d702ea9622025-08-20T02:49:16ZengSemnan UniversityMechanics of Advanced Composite Structures2423-48262423-70432024-04-0111114915810.22075/macs.2023.29847.14768140Static Buckling and Free Vibration Analysis of Bi-Dimensional FG Metal Ceramic Porous BeamYasin Shabani0Pejman Mehdianfar1Korosh Khorshidi2Department of Mechanical Engineering, Faculty of Engineering, Arak University, Arak, 38156-88349, IranDepartment of Mechanical Engineering, Faculty of Engineering, Arak University, Arak, 38156-88349, IranDepartment of Mechanical Engineering, Faculty of Engineering, Arak University, Arak, 38156-88349, IranThis study presents an analytical solution for static buckling and free vibration analysis of bi-dimensional functionally graded (2D-FG) metal-ceramic porous beams. To achieve this goal, equations of motion for the beam are derived by using Hamilton's principle and then the derived equations were solved in the framework of Galerkin’s well-known analytical method for solution of equations. The material properties of the beam are variable along with thickness and length according to the power-law function. During the fabrication of functionally graded materials (FGMs), porosities may occur due to technical problems causing micro-voids to appear. Detailed mathematical derivations are presented and numerical investigations are performed, while emphasis is placed on investigating the effect of various parameters such as FG power indexes along both directions of thickness and length, porosity, and slenderness ratios (L/h), on the non-dimensional frequency and static buckling of the beam based on new higher deformation beam theory. The accuracy of the proposed model is validated based on comparisons of the results with the accepted studies. According to the result in both buckling and vibration analysis, the presented modified transverse shear stress along the thickness has shown closer consequences in comparison with TBT.https://macs.semnan.ac.ir/article_8140_90d0999b24da43c83e8b5bf6c07289b0.pdfporositycomputational analysis2d-fgmcomposite materialsbuckling |
| spellingShingle | Yasin Shabani Pejman Mehdianfar Korosh Khorshidi Static Buckling and Free Vibration Analysis of Bi-Dimensional FG Metal Ceramic Porous Beam Mechanics of Advanced Composite Structures porosity computational analysis 2d-fgm composite materials buckling |
| title | Static Buckling and Free Vibration Analysis of Bi-Dimensional FG Metal Ceramic Porous Beam |
| title_full | Static Buckling and Free Vibration Analysis of Bi-Dimensional FG Metal Ceramic Porous Beam |
| title_fullStr | Static Buckling and Free Vibration Analysis of Bi-Dimensional FG Metal Ceramic Porous Beam |
| title_full_unstemmed | Static Buckling and Free Vibration Analysis of Bi-Dimensional FG Metal Ceramic Porous Beam |
| title_short | Static Buckling and Free Vibration Analysis of Bi-Dimensional FG Metal Ceramic Porous Beam |
| title_sort | static buckling and free vibration analysis of bi dimensional fg metal ceramic porous beam |
| topic | porosity computational analysis 2d-fgm composite materials buckling |
| url | https://macs.semnan.ac.ir/article_8140_90d0999b24da43c83e8b5bf6c07289b0.pdf |
| work_keys_str_mv | AT yasinshabani staticbucklingandfreevibrationanalysisofbidimensionalfgmetalceramicporousbeam AT pejmanmehdianfar staticbucklingandfreevibrationanalysisofbidimensionalfgmetalceramicporousbeam AT koroshkhorshidi staticbucklingandfreevibrationanalysisofbidimensionalfgmetalceramicporousbeam |