Random forest algorithm integrated with an initial basic feasible solution in buckling analysis of a two-dimensional functionally graded porous taper beam
This study explores the buckling behavior of two-dimensional functionally graded porous taper beam, which are increasingly used in aerospace, civil, and mechanical engineering applications where structural stability, weight optimization, and material adaptability are essential. Traditional analytica...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2025-01-01
|
| Series: | Materials Research Express |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/2053-1591/addf17 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849333508281991168 |
|---|---|
| author | Ravikiran Chinthalapudi Jagadesh Kumar Jatavallabhula Geetha Narayanan Kannaiyan Bridjesh Pappula Seshibe Makgato |
| author_facet | Ravikiran Chinthalapudi Jagadesh Kumar Jatavallabhula Geetha Narayanan Kannaiyan Bridjesh Pappula Seshibe Makgato |
| author_sort | Ravikiran Chinthalapudi |
| collection | DOAJ |
| description | This study explores the buckling behavior of two-dimensional functionally graded porous taper beam, which are increasingly used in aerospace, civil, and mechanical engineering applications where structural stability, weight optimization, and material adaptability are essential. Traditional analytical models often struggle to handle the nonlinearities introduced by material gradation, porosity, and geometric tapering, especially under complex boundary conditions. To overcome these limitations, a hybrid analytical computational methodology is proposed that integrates the novel Initial Basic Feasible Solution approach with the Random Forest algorithm. The beam is modelled using hyperbolic shear deformation theory to account for transverse shear effects, while material properties vary along both the length and thickness following a power-law distribution. Porosity is included by a porosity index, and the tapering effects are captured using linear thickness and width ratios. The Initial Basic Feasible Solution method is used to define boundary conditions and provide an initial physically consistent solution, which is further enhanced by the Random Forest model to handle complex nonlinear interactions. Quantitative findings reveal that increasing the aspect ratio from 10 to 40 results in a 61.2% reduction in the critical buckling load. Conversely, increasing the taper ratio and width ratio improves the buckling load by 26.6% and 41.45%, respectively. An increase in porosity index from 0.0 to 0.3 leads to a 30.75% reduction in structural capacity and clamped-clamped boundary conditions improve stability by 21.34% over simply supported configurations. The proposed method offers a scalable, accurate, and computationally efficient tool for analyzing complex functionally graded porous taper beam, overcoming the limitations of classical beam theories and numerical solvers. This work provides practical insights for the design and optimization of advanced graded structures where conventional models fall short, establishing a novel pathway for the integration of machine learning in structural mechanics. |
| format | Article |
| id | doaj-art-b26e57d4800248fa802f6a8057d903a5 |
| institution | Kabale University |
| issn | 2053-1591 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | Materials Research Express |
| spelling | doaj-art-b26e57d4800248fa802f6a8057d903a52025-08-20T03:45:49ZengIOP PublishingMaterials Research Express2053-15912025-01-0112606570110.1088/2053-1591/addf17Random forest algorithm integrated with an initial basic feasible solution in buckling analysis of a two-dimensional functionally graded porous taper beamRavikiran Chinthalapudi0https://orcid.org/0000-0002-1070-4170Jagadesh Kumar Jatavallabhula1https://orcid.org/0000-0001-8702-0386Geetha Narayanan Kannaiyan2https://orcid.org/0000-0001-5245-6008Bridjesh Pappula3https://orcid.org/0000-0002-8964-4667Seshibe Makgato4https://orcid.org/0000-0001-8506-7156Department of Mechanical Engineering, MLR Institute of Technology , Hyderabad, IndiaDepartment of Mechanical, Bioresources and Biomedical Engineering, College of Science, Engineering and Technology, University of South Africa (UNISA) , c/o Christiaan de Wet & Pioneer Avenue, Florida Campus 1710, Johannesburg, South AfricaDepartment of Chemical & Materials Engineering, College of Science, Engineering and Technology, University of South Africa (UNISA) , c/o Christiaan de Wet & Pioneer Avenue, Florida Campus 1710, Johannesburg, South AfricaDepartment of Chemical & Materials Engineering, College of Science, Engineering and Technology, University of South Africa (UNISA) , c/o Christiaan de Wet & Pioneer Avenue, Florida Campus 1710, Johannesburg, South AfricaDepartment of Chemical & Materials Engineering, College of Science, Engineering and Technology, University of South Africa (UNISA) , c/o Christiaan de Wet & Pioneer Avenue, Florida Campus 1710, Johannesburg, South AfricaThis study explores the buckling behavior of two-dimensional functionally graded porous taper beam, which are increasingly used in aerospace, civil, and mechanical engineering applications where structural stability, weight optimization, and material adaptability are essential. Traditional analytical models often struggle to handle the nonlinearities introduced by material gradation, porosity, and geometric tapering, especially under complex boundary conditions. To overcome these limitations, a hybrid analytical computational methodology is proposed that integrates the novel Initial Basic Feasible Solution approach with the Random Forest algorithm. The beam is modelled using hyperbolic shear deformation theory to account for transverse shear effects, while material properties vary along both the length and thickness following a power-law distribution. Porosity is included by a porosity index, and the tapering effects are captured using linear thickness and width ratios. The Initial Basic Feasible Solution method is used to define boundary conditions and provide an initial physically consistent solution, which is further enhanced by the Random Forest model to handle complex nonlinear interactions. Quantitative findings reveal that increasing the aspect ratio from 10 to 40 results in a 61.2% reduction in the critical buckling load. Conversely, increasing the taper ratio and width ratio improves the buckling load by 26.6% and 41.45%, respectively. An increase in porosity index from 0.0 to 0.3 leads to a 30.75% reduction in structural capacity and clamped-clamped boundary conditions improve stability by 21.34% over simply supported configurations. The proposed method offers a scalable, accurate, and computationally efficient tool for analyzing complex functionally graded porous taper beam, overcoming the limitations of classical beam theories and numerical solvers. This work provides practical insights for the design and optimization of advanced graded structures where conventional models fall short, establishing a novel pathway for the integration of machine learning in structural mechanics.https://doi.org/10.1088/2053-1591/addf17hyperbolic shear deformation theorytwo-dimensional functionally graded porous taper beaminitial basic feasible solutionrandom forest algorithmnon-dimensional critical buckling |
| spellingShingle | Ravikiran Chinthalapudi Jagadesh Kumar Jatavallabhula Geetha Narayanan Kannaiyan Bridjesh Pappula Seshibe Makgato Random forest algorithm integrated with an initial basic feasible solution in buckling analysis of a two-dimensional functionally graded porous taper beam Materials Research Express hyperbolic shear deformation theory two-dimensional functionally graded porous taper beam initial basic feasible solution random forest algorithm non-dimensional critical buckling |
| title | Random forest algorithm integrated with an initial basic feasible solution in buckling analysis of a two-dimensional functionally graded porous taper beam |
| title_full | Random forest algorithm integrated with an initial basic feasible solution in buckling analysis of a two-dimensional functionally graded porous taper beam |
| title_fullStr | Random forest algorithm integrated with an initial basic feasible solution in buckling analysis of a two-dimensional functionally graded porous taper beam |
| title_full_unstemmed | Random forest algorithm integrated with an initial basic feasible solution in buckling analysis of a two-dimensional functionally graded porous taper beam |
| title_short | Random forest algorithm integrated with an initial basic feasible solution in buckling analysis of a two-dimensional functionally graded porous taper beam |
| title_sort | random forest algorithm integrated with an initial basic feasible solution in buckling analysis of a two dimensional functionally graded porous taper beam |
| topic | hyperbolic shear deformation theory two-dimensional functionally graded porous taper beam initial basic feasible solution random forest algorithm non-dimensional critical buckling |
| url | https://doi.org/10.1088/2053-1591/addf17 |
| work_keys_str_mv | AT ravikiranchinthalapudi randomforestalgorithmintegratedwithaninitialbasicfeasiblesolutioninbucklinganalysisofatwodimensionalfunctionallygradedporoustaperbeam AT jagadeshkumarjatavallabhula randomforestalgorithmintegratedwithaninitialbasicfeasiblesolutioninbucklinganalysisofatwodimensionalfunctionallygradedporoustaperbeam AT geethanarayanankannaiyan randomforestalgorithmintegratedwithaninitialbasicfeasiblesolutioninbucklinganalysisofatwodimensionalfunctionallygradedporoustaperbeam AT bridjeshpappula randomforestalgorithmintegratedwithaninitialbasicfeasiblesolutioninbucklinganalysisofatwodimensionalfunctionallygradedporoustaperbeam AT seshibemakgato randomforestalgorithmintegratedwithaninitialbasicfeasiblesolutioninbucklinganalysisofatwodimensionalfunctionallygradedporoustaperbeam |