Initial Buckling Behavior of Elastically Supported Rectangular FGM Plate based on Higher Order Shear Deformation Theory via Spline RBF Method
In the present paper, the effect of aspect ratio on the initial buckling response of an elastically supported rectangular FGM plate, the thin plate spline radial basis function (RBF) method can be used. This method involves the use of a thin plate spline to interpolate the displacement field of the...
Saved in:
| Main Authors: | , , , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Semnan University
2024-04-01
|
| Series: | Mechanics of Advanced Composite Structures |
| Subjects: | |
| Online Access: | https://macs.semnan.ac.ir/article_8047_683fca0e47e45d70ae5444e206cced7e.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850116601342328832 |
|---|---|
| author | Rahul Kumar Harish Sharma Sneha Gupta Akhilesh Malguri Basudeb Rajak Yash Srivastava Sikander Khan Ayush Pandey |
| author_facet | Rahul Kumar Harish Sharma Sneha Gupta Akhilesh Malguri Basudeb Rajak Yash Srivastava Sikander Khan Ayush Pandey |
| author_sort | Rahul Kumar |
| collection | DOAJ |
| description | In the present paper, the effect of aspect ratio on the initial buckling response of an elastically supported rectangular FGM plate, the thin plate spline radial basis function (RBF) method can be used. This method involves the use of a thin plate spline to interpolate the displacement field of the plate, allowing for accurate analysis of the plate's behavior. The higher-order shear deformation theory (HSDT) is used for the analysis of the FGM rectangular plate resting on two parameters of elastic foundation. The displacement field consists of five unknown variables and approximately parabolic distribution of the transverse stress profile through the plate thickness and tangential stress-free boundary conditions on the plate surface. The governing differential equations (GDEs) of the plate are developed in the framework of Hamilton’s principle. The thin plate spline radial basic function-based Meshfree method is used for discretizing the GDEs. To demonstrate the accuracy and efficacy of the present approach, the results obtained by the present approach are compared with the results given in the literature. The effect of various aspect ratios, grading index, span-to-thickness ratio, and two parameters of elastic foundations on the normalized buckling load is proposed. Some new results are also presented, which may be beneficial for future research works. The novelty of the present is the effects of aspect ratio on the elastically supported FGM plates. |
| format | Article |
| id | doaj-art-3bf5bf41bb4d4c3082362bf13bdadb18 |
| institution | OA Journals |
| 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-3bf5bf41bb4d4c3082362bf13bdadb182025-08-20T02:36:16ZengSemnan UniversityMechanics of Advanced Composite Structures2423-48262423-70432024-04-01111597210.22075/macs.2023.30125.14848047Initial Buckling Behavior of Elastically Supported Rectangular FGM Plate based on Higher Order Shear Deformation Theory via Spline RBF MethodRahul Kumar0Harish Sharma1Sneha Gupta2Akhilesh Malguri3Basudeb Rajak4Yash Srivastava5Sikander Khan6Ayush Pandey7Department of Mechanical Engineering DDU, Gorakhpur, IndiaDepartment of Mechanical Engineering, GLA University, Mathura, IndiaDepartment of Civil Engineering MMMUT, Gorakhpur, IndiaOil and gas, HEPIPL, Adani Group, Ahmedabad, IndiaDepartment of Mechanical Engineering IIT, BHU, IndiaDepartment of Mechanical Engineering MMMUT, Gorakhpur, IndiaMechanical Engineering SGI, Kukas, Jaipur, IndiaDepartment of Mechanical Engineering DDU, Gorakhpur, IndiaIn the present paper, the effect of aspect ratio on the initial buckling response of an elastically supported rectangular FGM plate, the thin plate spline radial basis function (RBF) method can be used. This method involves the use of a thin plate spline to interpolate the displacement field of the plate, allowing for accurate analysis of the plate's behavior. The higher-order shear deformation theory (HSDT) is used for the analysis of the FGM rectangular plate resting on two parameters of elastic foundation. The displacement field consists of five unknown variables and approximately parabolic distribution of the transverse stress profile through the plate thickness and tangential stress-free boundary conditions on the plate surface. The governing differential equations (GDEs) of the plate are developed in the framework of Hamilton’s principle. The thin plate spline radial basic function-based Meshfree method is used for discretizing the GDEs. To demonstrate the accuracy and efficacy of the present approach, the results obtained by the present approach are compared with the results given in the literature. The effect of various aspect ratios, grading index, span-to-thickness ratio, and two parameters of elastic foundations on the normalized buckling load is proposed. Some new results are also presented, which may be beneficial for future research works. The novelty of the present is the effects of aspect ratio on the elastically supported FGM plates.https://macs.semnan.ac.ir/article_8047_683fca0e47e45d70ae5444e206cced7e.pdffgm platespline rbfmeshfreebucklingfoundationaspect ratio |
| spellingShingle | Rahul Kumar Harish Sharma Sneha Gupta Akhilesh Malguri Basudeb Rajak Yash Srivastava Sikander Khan Ayush Pandey Initial Buckling Behavior of Elastically Supported Rectangular FGM Plate based on Higher Order Shear Deformation Theory via Spline RBF Method Mechanics of Advanced Composite Structures fgm plate spline rbf meshfree buckling foundation aspect ratio |
| title | Initial Buckling Behavior of Elastically Supported Rectangular FGM Plate based on Higher Order Shear Deformation Theory via Spline RBF Method |
| title_full | Initial Buckling Behavior of Elastically Supported Rectangular FGM Plate based on Higher Order Shear Deformation Theory via Spline RBF Method |
| title_fullStr | Initial Buckling Behavior of Elastically Supported Rectangular FGM Plate based on Higher Order Shear Deformation Theory via Spline RBF Method |
| title_full_unstemmed | Initial Buckling Behavior of Elastically Supported Rectangular FGM Plate based on Higher Order Shear Deformation Theory via Spline RBF Method |
| title_short | Initial Buckling Behavior of Elastically Supported Rectangular FGM Plate based on Higher Order Shear Deformation Theory via Spline RBF Method |
| title_sort | initial buckling behavior of elastically supported rectangular fgm plate based on higher order shear deformation theory via spline rbf method |
| topic | fgm plate spline rbf meshfree buckling foundation aspect ratio |
| url | https://macs.semnan.ac.ir/article_8047_683fca0e47e45d70ae5444e206cced7e.pdf |
| work_keys_str_mv | AT rahulkumar initialbucklingbehaviorofelasticallysupportedrectangularfgmplatebasedonhigherordersheardeformationtheoryviasplinerbfmethod AT harishsharma initialbucklingbehaviorofelasticallysupportedrectangularfgmplatebasedonhigherordersheardeformationtheoryviasplinerbfmethod AT snehagupta initialbucklingbehaviorofelasticallysupportedrectangularfgmplatebasedonhigherordersheardeformationtheoryviasplinerbfmethod AT akhileshmalguri initialbucklingbehaviorofelasticallysupportedrectangularfgmplatebasedonhigherordersheardeformationtheoryviasplinerbfmethod AT basudebrajak initialbucklingbehaviorofelasticallysupportedrectangularfgmplatebasedonhigherordersheardeformationtheoryviasplinerbfmethod AT yashsrivastava initialbucklingbehaviorofelasticallysupportedrectangularfgmplatebasedonhigherordersheardeformationtheoryviasplinerbfmethod AT sikanderkhan initialbucklingbehaviorofelasticallysupportedrectangularfgmplatebasedonhigherordersheardeformationtheoryviasplinerbfmethod AT ayushpandey initialbucklingbehaviorofelasticallysupportedrectangularfgmplatebasedonhigherordersheardeformationtheoryviasplinerbfmethod |