Assessment of RBFs Based Meshfree Method for the Vibration Response of FGM Rectangular Plate Using HSDT Model
Radial basis functions (RBFs) with modified radial distance are proposed for vibration analysis of functionally graded materials (FGM) rectangular plates. The displacement field with five variables higher-order shear deformation theory (HSDT) is considered. The governing differential equations (GDEs...
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Semnan University
2023-04-01
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| Series: | Mechanics of Advanced Composite Structures |
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| Online Access: | https://macs.semnan.ac.ir/article_7041_1e87211656814ae09dcd4cd397656fa8.pdf |
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| author | Manish Srivastava Jeeoot Singh |
| author_facet | Manish Srivastava Jeeoot Singh |
| author_sort | Manish Srivastava |
| collection | DOAJ |
| description | Radial basis functions (RBFs) with modified radial distance are proposed for vibration analysis of functionally graded materials (FGM) rectangular plates. The displacement field with five variables higher-order shear deformation theory (HSDT) is considered. The governing differential equations (GDEs) and boundary conditions are obtained using Hamilton's principle. The governing differential equations formulations are solved via strong-form solutions. The rectangular plates are analyzed in the framework of the RBF-based meshfree method. The novelty of the present modified method is to analyze the square and rectangular plates without changing the shape parameters. Here, the seventeen different RBFs are available in various literature to demonstrate the accuracy and efficiency of the present method in terms of the number of nodes and computational time. The results of several numerical examples have shown that the present modified RBF-based mesh-free method can lead to much more accurate solutions. Computational times of different RBFs are also analyzed. |
| format | Article |
| id | doaj-art-09d049a2e5074cb19773e1933d892fc7 |
| institution | DOAJ |
| issn | 2423-4826 2423-7043 |
| language | English |
| publishDate | 2023-04-01 |
| publisher | Semnan University |
| record_format | Article |
| series | Mechanics of Advanced Composite Structures |
| spelling | doaj-art-09d049a2e5074cb19773e1933d892fc72025-08-20T02:49:16ZengSemnan UniversityMechanics of Advanced Composite Structures2423-48262423-70432023-04-0110113715010.22075/macs.2022.27615.14187041Assessment of RBFs Based Meshfree Method for the Vibration Response of FGM Rectangular Plate Using HSDT ModelManish Srivastava0Jeeoot Singh1Department of Mechanical Engineering, MMMUT, Gorakhpur-273010, IndiaDepartment of Mechanical Engineering, MMMUT, Gorakhpur-273010, IndiaRadial basis functions (RBFs) with modified radial distance are proposed for vibration analysis of functionally graded materials (FGM) rectangular plates. The displacement field with five variables higher-order shear deformation theory (HSDT) is considered. The governing differential equations (GDEs) and boundary conditions are obtained using Hamilton's principle. The governing differential equations formulations are solved via strong-form solutions. The rectangular plates are analyzed in the framework of the RBF-based meshfree method. The novelty of the present modified method is to analyze the square and rectangular plates without changing the shape parameters. Here, the seventeen different RBFs are available in various literature to demonstrate the accuracy and efficiency of the present method in terms of the number of nodes and computational time. The results of several numerical examples have shown that the present modified RBF-based mesh-free method can lead to much more accurate solutions. Computational times of different RBFs are also analyzed.https://macs.semnan.ac.ir/article_7041_1e87211656814ae09dcd4cd397656fa8.pdffree vibrationfg platemeshfreerbf |
| spellingShingle | Manish Srivastava Jeeoot Singh Assessment of RBFs Based Meshfree Method for the Vibration Response of FGM Rectangular Plate Using HSDT Model Mechanics of Advanced Composite Structures free vibration fg plate meshfree rbf |
| title | Assessment of RBFs Based Meshfree Method for the Vibration Response of FGM Rectangular Plate Using HSDT Model |
| title_full | Assessment of RBFs Based Meshfree Method for the Vibration Response of FGM Rectangular Plate Using HSDT Model |
| title_fullStr | Assessment of RBFs Based Meshfree Method for the Vibration Response of FGM Rectangular Plate Using HSDT Model |
| title_full_unstemmed | Assessment of RBFs Based Meshfree Method for the Vibration Response of FGM Rectangular Plate Using HSDT Model |
| title_short | Assessment of RBFs Based Meshfree Method for the Vibration Response of FGM Rectangular Plate Using HSDT Model |
| title_sort | assessment of rbfs based meshfree method for the vibration response of fgm rectangular plate using hsdt model |
| topic | free vibration fg plate meshfree rbf |
| url | https://macs.semnan.ac.ir/article_7041_1e87211656814ae09dcd4cd397656fa8.pdf |
| work_keys_str_mv | AT manishsrivastava assessmentofrbfsbasedmeshfreemethodforthevibrationresponseoffgmrectangularplateusinghsdtmodel AT jeeootsingh assessmentofrbfsbasedmeshfreemethodforthevibrationresponseoffgmrectangularplateusinghsdtmodel |