Probabilistic Evaluation on the Free Vibration of Functionally Graded Material Plates Using 3D Solution and Meta-Model Methods
This paper presents a probabilistic assessment on the free vibration analysis of functionally graded material plates, including layers with magneto-electro-elastic properties, using the 3D solution and surrogate models. The plate is located on an elastic foundation and the intra-layer slipping effec...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | fas |
| Published: |
Isfahan University of Technology
2020-08-01
|
| Series: | Ravish/hā-yi ̒adadī dar Muhandisī |
| Subjects: | |
| Online Access: | http://jcme.iut.ac.ir/article-1-767-en.html |
| _version_ | 1818773208554274816 |
|---|---|
| author | N. Cheraghi M. Miri M. Rashki |
| author_facet | N. Cheraghi M. Miri M. Rashki |
| author_sort | N. Cheraghi |
| collection | DOAJ |
| description | This paper presents a probabilistic assessment on the free vibration analysis of functionally graded material plates, including layers with magneto-electro-elastic properties, using the 3D solution and surrogate models. The plate is located on an elastic foundation and the intra-layer slipping effect is also considered in the analysis by employing the generalized intra-layer spring model. Due to the high computational cost of the 3D solution in calculating the free vibration frequency of the plate, surrogate models are used. The meta models including kriging method, radial fundamental function method and polynomial response surface method are used to construct the surrogate model. For surrogate models training, the results of the three-dimensional solving method are used. The elastic foundation hardness, the intra-layer slipping effect, the material properties index, and the layer densities are considered as the variables with uncertainty. The three-dimensional solution method is validated through a comparison with other available reference. The results obtained through the surrogate models have been compared to those of the 3D solution formulation, showing a good agreement. The effects of some parameters including the elastic foundation hardness, the intra-layer slipping effect, the density of each layer, and the material properties index on the fundamental frequency of functionally graded material plates are investigated. By using three-dimensional solution method and Kriging Surrogate Model, it is shown that the shear and transverse components of elastic foundation hardness and the density of each layer have the greatest effect on the fundamental frequency of the functionally graded material plates. |
| first_indexed | 2024-12-18T10:21:36Z |
| format | Article |
| id | doaj.art-ca296edd8a6f483a828d4ab1df1fc66d |
| institution | Directory Open Access Journal |
| issn | 2228-7698 2423-5741 |
| language | fas |
| last_indexed | 2024-12-18T10:21:36Z |
| publishDate | 2020-08-01 |
| publisher | Isfahan University of Technology |
| record_format | Article |
| series | Ravish/hā-yi ̒adadī dar Muhandisī |
| spelling | doaj.art-ca296edd8a6f483a828d4ab1df1fc66d2022-12-21T21:11:08ZfasIsfahan University of TechnologyRavish/hā-yi ̒adadī dar Muhandisī2228-76982423-57412020-08-013914566Probabilistic Evaluation on the Free Vibration of Functionally Graded Material Plates Using 3D Solution and Meta-Model MethodsN. Cheraghi0M. Miri1M. Rashki2 Department of Civil Engineering, Faculty of Engineering, University of Sistan and Baluchestan, Zahedan, Iran Department of Civil Engineering, Faculty of Engineering, University of Sistan and Baluchestan, Zahedan, Iran Department of Civil Engineering, Faculty of Engineering, University of Sistan and Baluchestan, Zahedan, Iran This paper presents a probabilistic assessment on the free vibration analysis of functionally graded material plates, including layers with magneto-electro-elastic properties, using the 3D solution and surrogate models. The plate is located on an elastic foundation and the intra-layer slipping effect is also considered in the analysis by employing the generalized intra-layer spring model. Due to the high computational cost of the 3D solution in calculating the free vibration frequency of the plate, surrogate models are used. The meta models including kriging method, radial fundamental function method and polynomial response surface method are used to construct the surrogate model. For surrogate models training, the results of the three-dimensional solving method are used. The elastic foundation hardness, the intra-layer slipping effect, the material properties index, and the layer densities are considered as the variables with uncertainty. The three-dimensional solution method is validated through a comparison with other available reference. The results obtained through the surrogate models have been compared to those of the 3D solution formulation, showing a good agreement. The effects of some parameters including the elastic foundation hardness, the intra-layer slipping effect, the density of each layer, and the material properties index on the fundamental frequency of functionally graded material plates are investigated. By using three-dimensional solution method and Kriging Surrogate Model, it is shown that the shear and transverse components of elastic foundation hardness and the density of each layer have the greatest effect on the fundamental frequency of the functionally graded material plates.http://jcme.iut.ac.ir/article-1-767-en.htmlfree vibrationfunctionally graded materialthree-dimensional solutionsurrogate modelsuncertaintyreliability analysismonte carlo simulation. |
| spellingShingle | N. Cheraghi M. Miri M. Rashki Probabilistic Evaluation on the Free Vibration of Functionally Graded Material Plates Using 3D Solution and Meta-Model Methods Ravish/hā-yi ̒adadī dar Muhandisī free vibration functionally graded material three-dimensional solution surrogate models uncertainty reliability analysis monte carlo simulation. |
| title | Probabilistic Evaluation on the Free Vibration of Functionally Graded Material Plates Using 3D Solution and Meta-Model Methods |
| title_full | Probabilistic Evaluation on the Free Vibration of Functionally Graded Material Plates Using 3D Solution and Meta-Model Methods |
| title_fullStr | Probabilistic Evaluation on the Free Vibration of Functionally Graded Material Plates Using 3D Solution and Meta-Model Methods |
| title_full_unstemmed | Probabilistic Evaluation on the Free Vibration of Functionally Graded Material Plates Using 3D Solution and Meta-Model Methods |
| title_short | Probabilistic Evaluation on the Free Vibration of Functionally Graded Material Plates Using 3D Solution and Meta-Model Methods |
| title_sort | probabilistic evaluation on the free vibration of functionally graded material plates using 3d solution and meta model methods |
| topic | free vibration functionally graded material three-dimensional solution surrogate models uncertainty reliability analysis monte carlo simulation. |
| url | http://jcme.iut.ac.ir/article-1-767-en.html |
| work_keys_str_mv | AT ncheraghi probabilisticevaluationonthefreevibrationoffunctionallygradedmaterialplatesusing3dsolutionandmetamodelmethods AT mmiri probabilisticevaluationonthefreevibrationoffunctionallygradedmaterialplatesusing3dsolutionandmetamodelmethods AT mrashki probabilisticevaluationonthefreevibrationoffunctionallygradedmaterialplatesusing3dsolutionandmetamodelmethods |