Numerical Investigation on Free Vibration Response of Bi-Directional Porous Functionally Graded Circular/Annular Plates
The article presents non-axisymmetric free vibration results of porous bi-directional functionally graded (BDFG) plates. The bi-directional grading index changes with the thickness (z-) and radial (r-) directions and porosity distributions are classified as uniform or non-uniform type. A displacemen...
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Semnan University
2022-11-01
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| Series: | Mechanics of Advanced Composite Structures |
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| Online Access: | https://macs.semnan.ac.ir/article_6789_1a70806ed8043485db864c9f9ed0a498.pdf |
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| author | Dilsukh Vasara Sumit Khare Akhilesh Malguri Rahul Kumar |
| author_facet | Dilsukh Vasara Sumit Khare Akhilesh Malguri Rahul Kumar |
| author_sort | Dilsukh Vasara |
| collection | DOAJ |
| description | The article presents non-axisymmetric free vibration results of porous bi-directional functionally graded (BDFG) plates. The bi-directional grading index changes with the thickness (z-) and radial (r-) directions and porosity distributions are classified as uniform or non-uniform type. A displacement field model is formulated based on First-order Shear Deformation Theory (FSDT). Hamilton’s principle is used to develop the governing equations for porous BDFG plates. The spatial discretization of the proposed mathematical model in five variables is carried out using the fast converging Differential Quadrature Method (DQM). The numerous examples demonstrate the accuracy and stability of the present DQM model by comparing the reported results available in the literature. The influence of aspect ratios, boundary conditions, and porosity distributions on the free vibration response of porous bi-directional functionally graded material plates is investigated intensively. These findings reveal that increasing the porosity volume fraction significantly impacts the mechanical properties of porous bi-directional functionally graded plates. |
| format | Article |
| id | doaj-art-5dc916fc54b341a1bb869a85aeeee34a |
| institution | DOAJ |
| issn | 2423-4826 2423-7043 |
| language | English |
| publishDate | 2022-11-01 |
| publisher | Semnan University |
| record_format | Article |
| series | Mechanics of Advanced Composite Structures |
| spelling | doaj-art-5dc916fc54b341a1bb869a85aeeee34a2025-08-20T02:49:16ZengSemnan UniversityMechanics of Advanced Composite Structures2423-48262423-70432022-11-019224326210.22075/macs.2022.26556.13876789Numerical Investigation on Free Vibration Response of Bi-Directional Porous Functionally Graded Circular/Annular PlatesDilsukh Vasara0Sumit Khare1Akhilesh Malguri2Rahul Kumar3Department of Mechanical Engineering, Sardar Vallabhbhai National Institute of Technology, Surat-395007, IndiaDepartment of Mechanical Engineering, Sardar Vallabhbhai National Institute of Technology, Surat-395007, IndiaOil and gas, HEPIPL, Adani Group, Ahmedabad – 380009, IndiaDepartment of Mechanical Engineering, Sardar Vallabhbhai National Institute of Technology, Surat-395007, IndiaThe article presents non-axisymmetric free vibration results of porous bi-directional functionally graded (BDFG) plates. The bi-directional grading index changes with the thickness (z-) and radial (r-) directions and porosity distributions are classified as uniform or non-uniform type. A displacement field model is formulated based on First-order Shear Deformation Theory (FSDT). Hamilton’s principle is used to develop the governing equations for porous BDFG plates. The spatial discretization of the proposed mathematical model in five variables is carried out using the fast converging Differential Quadrature Method (DQM). The numerous examples demonstrate the accuracy and stability of the present DQM model by comparing the reported results available in the literature. The influence of aspect ratios, boundary conditions, and porosity distributions on the free vibration response of porous bi-directional functionally graded material plates is investigated intensively. These findings reveal that increasing the porosity volume fraction significantly impacts the mechanical properties of porous bi-directional functionally graded plates.https://macs.semnan.ac.ir/article_6789_1a70806ed8043485db864c9f9ed0a498.pdfporous bi-directional functionally graded materialsvibrationcircular/annular platesnon-axisymmetricdqm |
| spellingShingle | Dilsukh Vasara Sumit Khare Akhilesh Malguri Rahul Kumar Numerical Investigation on Free Vibration Response of Bi-Directional Porous Functionally Graded Circular/Annular Plates Mechanics of Advanced Composite Structures porous bi-directional functionally graded materials vibration circular/annular plates non-axisymmetric dqm |
| title | Numerical Investigation on Free Vibration Response of Bi-Directional Porous Functionally Graded Circular/Annular Plates |
| title_full | Numerical Investigation on Free Vibration Response of Bi-Directional Porous Functionally Graded Circular/Annular Plates |
| title_fullStr | Numerical Investigation on Free Vibration Response of Bi-Directional Porous Functionally Graded Circular/Annular Plates |
| title_full_unstemmed | Numerical Investigation on Free Vibration Response of Bi-Directional Porous Functionally Graded Circular/Annular Plates |
| title_short | Numerical Investigation on Free Vibration Response of Bi-Directional Porous Functionally Graded Circular/Annular Plates |
| title_sort | numerical investigation on free vibration response of bi directional porous functionally graded circular annular plates |
| topic | porous bi-directional functionally graded materials vibration circular/annular plates non-axisymmetric dqm |
| url | https://macs.semnan.ac.ir/article_6789_1a70806ed8043485db864c9f9ed0a498.pdf |
| work_keys_str_mv | AT dilsukhvasara numericalinvestigationonfreevibrationresponseofbidirectionalporousfunctionallygradedcircularannularplates AT sumitkhare numericalinvestigationonfreevibrationresponseofbidirectionalporousfunctionallygradedcircularannularplates AT akhileshmalguri numericalinvestigationonfreevibrationresponseofbidirectionalporousfunctionallygradedcircularannularplates AT rahulkumar numericalinvestigationonfreevibrationresponseofbidirectionalporousfunctionallygradedcircularannularplates |